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Centered around dynamics, Discrete & Continuous Dynamical Systems - Series B (DCDS-B) is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.

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Quasi-toric differential inclusions
Gheorghe Craciun, Abhishek Deshpande and Hyejin Jenny Yeon
2021, 26(5) : 2343-2359 doi: 10.3934/dcdsb.2020181 +[Abstract](579) +[HTML](284) +[PDF](1273.06KB)
Design of new scheme adaptive generalized hybrid projective synchronization for two different chaotic systems with uncertain parameters
Rabiaa Ouahabi and Nasr-Eddine Hamri
2021, 26(5) : 2361-2370 doi: 10.3934/dcdsb.2020182 +[Abstract](629) +[HTML](285) +[PDF](356.74KB)
A nonisothermal thermodynamical model of liquid-vapor interaction with metastability
Hala Ghazi, François James and Hélène Mathis
2021, 26(5) : 2371-2409 doi: 10.3934/dcdsb.2020183 +[Abstract](560) +[HTML](292) +[PDF](13199.11KB)
A new over-penalized weak galerkin method. Part Ⅰ: Second-order elliptic problems
Kaifang Liu, Lunji Song and Shan Zhao
2021, 26(5) : 2411-2428 doi: 10.3934/dcdsb.2020184 +[Abstract](726) +[HTML](296) +[PDF](461.14KB)
Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations
Jiangxing Wang
2021, 26(5) : 2429-2440 doi: 10.3934/dcdsb.2020185 +[Abstract](597) +[HTML](291) +[PDF](412.32KB)
On the unboundedness of the ratio of species and resources for the diffusive logistic equation
Jumpei Inoue and Kousuke Kuto
2021, 26(5) : 2441-2450 doi: 10.3934/dcdsb.2020186 +[Abstract](724) +[HTML](270) +[PDF](330.85KB)
On a pore-scale stationary diffusion equation: Scaling effects and correctors for the homogenization limit
Vo Anh Khoa, Thi Kim Thoa Thieu and Ekeoma Rowland Ijioma
2021, 26(5) : 2451-2477 doi: 10.3934/dcdsb.2020190 +[Abstract](833) +[HTML](305) +[PDF](1114.57KB)
Abstract similarity, fractals and chaos
Marat Akhmet and Ejaily Milad Alejaily
2021, 26(5) : 2479-2497 doi: 10.3934/dcdsb.2020191 +[Abstract](796) +[HTML](285) +[PDF](1197.4KB)
A Wong-Zakai approximation of stochastic differential equations driven by a general semimartingale
Xianming Liu and Guangyue Han
2021, 26(5) : 2499-2508 doi: 10.3934/dcdsb.2020192 +[Abstract](656) +[HTML](287) +[PDF](359.82KB)
The nonstationary flows of micropolar fluids with thermal convection: An iterative approach
Charles Amorim, Miguel Loayza and Marko A. Rojas-Medar
2021, 26(5) : 2509-2535 doi: 10.3934/dcdsb.2020193 +[Abstract](673) +[HTML](261) +[PDF](400.36KB)
A blow-up result for the chemotaxis system with nonlinear signal production and logistic source
Hong Yi, Chunlai Mu, Guangyu Xu and Pan Dai
2021, 26(5) : 2537-2559 doi: 10.3934/dcdsb.2020194 +[Abstract](626) +[HTML](335) +[PDF](417.2KB)
Large-time behavior of matured population in an age-structured model
Linlin Li and Bedreddine Ainseba
2021, 26(5) : 2561-2580 doi: 10.3934/dcdsb.2020195 +[Abstract](600) +[HTML](269) +[PDF](810.3KB)
A new over-penalized weak galerkin finite element method. Part Ⅱ: Elliptic interface problems
Lunji Song, Wenya Qi, Kaifang Liu and Qingxian Gu
2021, 26(5) : 2581-2598 doi: 10.3934/dcdsb.2020196 +[Abstract](818) +[HTML](310) +[PDF](1750.33KB)
Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system
Dan Wei and Shangjiang Guo
2021, 26(5) : 2599-2623 doi: 10.3934/dcdsb.2020197 +[Abstract](635) +[HTML](296) +[PDF](2472.99KB)
Global classical solutions to two-dimensional chemotaxis-shallow water system
Ying Yang
2021, 26(5) : 2625-2643 doi: 10.3934/dcdsb.2020198 +[Abstract](609) +[HTML](268) +[PDF](362.55KB)
Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media
Jianping Gao, Shangjiang Guo and Wenxian Shen
2021, 26(5) : 2645-2676 doi: 10.3934/dcdsb.2020199 +[Abstract](622) +[HTML](259) +[PDF](433.46KB)
Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks
Zengyun Wang, Jinde Cao, Zuowei Cai and Lihong Huang
2021, 26(5) : 2677-2692 doi: 10.3934/dcdsb.2020200 +[Abstract](748) +[HTML](313) +[PDF](536.46KB)
Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions
Shangzhi Li and Shangjiang Guo
2021, 26(5) : 2693-2719 doi: 10.3934/dcdsb.2020201 +[Abstract](711) +[HTML](275) +[PDF](1303.06KB)
Properties of basins of attraction for planar discrete cooperative maps
M. R. S. Kulenović, J. Marcotte and O. Merino
2021, 26(5) : 2721-2737 doi: 10.3934/dcdsb.2020202 +[Abstract](523) +[HTML](277) +[PDF](1392.97KB)
Solving a system of linear differential equations with interval coefficients
Nizami A. Gasilov
2021, 26(5) : 2739-2747 doi: 10.3934/dcdsb.2020203 +[Abstract](592) +[HTML](292) +[PDF](313.11KB)
Collective behaviors of a Winfree ensemble on an infinite cylinder
Seung-Yeal Ha, Myeongju Kang and Bora Moon
2021, 26(5) : 2749-2779 doi: 10.3934/dcdsb.2020204 +[Abstract](602) +[HTML](260) +[PDF](814.87KB)
Numerical analysis and simulation of an adhesive contact problem with damage and long memory
Hailing Xuan and Xiaoliang Cheng
2021, 26(5) : 2781-2804 doi: 10.3934/dcdsb.2020205 +[Abstract](686) +[HTML](310) +[PDF](2923.04KB)
Global and exponential attractors for a nonlinear porous elastic system with delay term
Manoel J. Dos Santos, Baowei Feng, Dilberto S. Almeida Júnior and Mauro L. Santos
2021, 26(5) : 2805-2828 doi: 10.3934/dcdsb.2020206 +[Abstract](665) +[HTML](300) +[PDF](424.37KB)
Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise
Xiaohu Wang, Dingshi Li and Jun Shen
2021, 26(5) : 2829-2855 doi: 10.3934/dcdsb.2020207 +[Abstract](530) +[HTML](231) +[PDF](447.59KB)
Periodic forcing on degenerate Hopf bifurcation
Qigang Yuan and Jingli Ren
2021, 26(5) : 2857-2877 doi: 10.3934/dcdsb.2020208 +[Abstract](563) +[HTML](275) +[PDF](1461.57KB)
Variational solutions of stochastic partial differential equations with cylindrical Lévy noise
Tomasz Kosmala and Markus Riedle
2020doi: 10.3934/dcdsb.2020209 +[Abstract](504) +[HTML](256) +[PDF](381.86KB)
Convergence rate of solutions toward stationary solutions to the isentropic micropolar fluid model in a half line
Haibo Cui and Haiyan Yin
2020doi: 10.3934/dcdsb.2020210 +[Abstract](485) +[HTML](244) +[PDF](419.44KB)
Periodic solutions to non-autonomous evolution equations with multi-delays
Pengyu Chen
2020doi: 10.3934/dcdsb.2020211 +[Abstract](505) +[HTML](241) +[PDF](355.89KB)
Global phase portraits and bifurcation diagrams for reversible equivariant hamiltonian systems of linear plus quartic homogeneous polynomials
Yuzhou Tian and Yulin Zhao
2020doi: 10.3934/dcdsb.2020214 +[Abstract](696) +[HTML](313) +[PDF](1889.44KB)
Optimal control of leachate recirculation for anaerobic processes in landfills
Marzia Bisi, Maria Groppi, Giorgio Martalò and Romina Travaglini
2020doi: 10.3934/dcdsb.2020215 +[Abstract](610) +[HTML](279) +[PDF](716.81KB)
Lyapunov exponents of discrete quasi-periodic gevrey schrödinger equations
Wenmeng Geng and Kai Tao
2020doi: 10.3934/dcdsb.2020216 +[Abstract](554) +[HTML](292) +[PDF](361.52KB)
Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
Renhao Cui
2020doi: 10.3934/dcdsb.2020217 +[Abstract](639) +[HTML](274) +[PDF](459.03KB)
The Keller-Segel system with logistic growth and signal-dependent motility
Hai-Yang Jin and Zhi-An Wang
2020doi: 10.3934/dcdsb.2020218 +[Abstract](564) +[HTML](251) +[PDF](369.13KB)
The impact of toxins on competition dynamics of three species in a polluted aquatic environment
Yuyue Zhang, Jicai Huang and Qihua Huang
2020doi: 10.3934/dcdsb.2020219 +[Abstract](523) +[HTML](285) +[PDF](1209.71KB)
An almost periodic Dengue transmission model with age structure and time-delayed input of vector in a patchy environment
Jing Feng and Bin-Guo Wang
2020doi: 10.3934/dcdsb.2020220 +[Abstract](506) +[HTML](305) +[PDF](862.64KB)
Mean-square delay-distribution-dependent exponential synchronization of chaotic neural networks with mixed random time-varying delays and restricted disturbances
Quan Hai and Shutang Liu
2020doi: 10.3934/dcdsb.2020221 +[Abstract](545) +[HTML](253) +[PDF](464.22KB)
A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations
Yueqiang Shang and Qihui Zhang
2020doi: 10.3934/dcdsb.2020222 +[Abstract](512) +[HTML](291) +[PDF](869.2KB)
A mathematical model to restore water quality in urban lakes using Phoslock
Pankaj Kumar Tiwari, Rajesh Kumar Singh, Subhas Khajanchi, Yun Kang and Arvind Kumar Misra
2020doi: 10.3934/dcdsb.2020223 +[Abstract](691) +[HTML](290) +[PDF](4945.1KB)
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
Yuan Gao, Jian-Guo Liu, Tao Luo and Yang Xiang
2020doi: 10.3934/dcdsb.2020224 +[Abstract](761) +[HTML](262) +[PDF](531.65KB)
Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles
Montserrat Corbera and Claudia Valls
2020doi: 10.3934/dcdsb.2020225 +[Abstract](437) +[HTML](238) +[PDF](4199.41KB)
Invariant measures of stochastic delay lattice systems
Zhang Chen, Xiliang Li and Bixiang Wang
2020doi: 10.3934/dcdsb.2020226 +[Abstract](486) +[HTML](267) +[PDF](450.68KB)
Global well-posedness of a 3D Stokes-Magneto equations with fractional magnetic diffusion
Yingdan Ji and Wen Tan
2020doi: 10.3934/dcdsb.2020227 +[Abstract](468) +[HTML](228) +[PDF](329.28KB)
Dynamic observers for unknown populations
Chris Guiver, Nathan Poppelreiter, Richard Rebarber, Brigitte Tenhumberg and Stuart Townley
2020doi: 10.3934/dcdsb.2020232 +[Abstract](441) +[HTML](266) +[PDF](381.37KB)
Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise
Lingyu Li and Zhang Chen
2020doi: 10.3934/dcdsb.2020233 +[Abstract](466) +[HTML](260) +[PDF](423.25KB)
Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Marcel Braukhoff and Ansgar Jüngel
2020doi: 10.3934/dcdsb.2020234 +[Abstract](624) +[HTML](226) +[PDF](421.59KB)
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system
Yongjian Liu, Qiujian Huang and Zhouchao Wei
2020doi: 10.3934/dcdsb.2020235 +[Abstract](566) +[HTML](300) +[PDF](941.5KB)
Qualitative properties and bifurcations of a leaf-eating herbivores model
Jiyu Zhong
2020doi: 10.3934/dcdsb.2020236 +[Abstract](422) +[HTML](238) +[PDF](1514.42KB)
Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces
Jinyi Sun, Zunwei Fu, Yue Yin and Minghua Yang
2020doi: 10.3934/dcdsb.2020237 +[Abstract](468) +[HTML](232) +[PDF](398.39KB)
Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays
Demou Luo and Qiru Wang
2020doi: 10.3934/dcdsb.2020238 +[Abstract](418) +[HTML](239) +[PDF](415.69KB)
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
Yongming Luo and Athanasios Stylianou
2020doi: 10.3934/dcdsb.2020239 +[Abstract](590) +[HTML](230) +[PDF](413.35KB)
Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency
Yanling Shi and Junxiang Xu
2020doi: 10.3934/dcdsb.2020241 +[Abstract](408) +[HTML](202) +[PDF](394.52KB)
Moran process and Wright-Fisher process favor low variability
Jan Rychtář and Dewey T. Taylor
2020doi: 10.3934/dcdsb.2020242 +[Abstract](477) +[HTML](225) +[PDF](503.8KB)
Extremum estimates of the $ L^1 $-norm of weights for eigenvalue problems of vibrating string equations based on critical equations
Jiangang Qi and Bing Xie
2020doi: 10.3934/dcdsb.2020243 +[Abstract](364) +[HTML](217) +[PDF](332.5KB)
Regular dynamics for stochastic Fitzhugh-Nagumo systems with additive noise on thin domains
Fuzhi Li and Dongmei Xu
2020doi: 10.3934/dcdsb.2020244 +[Abstract](358) +[HTML](204) +[PDF](529.74KB)
Modeling within-host viral dynamics: The role of CTL immune responses in the evolution of drug resistance
Qi Deng, Zhipeng Qiu, Ting Guo and Libin Rong
2020doi: 10.3934/dcdsb.2020245 +[Abstract](535) +[HTML](230) +[PDF](1421.87KB)
Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations
Xin Zhong
2020doi: 10.3934/dcdsb.2020246 +[Abstract](409) +[HTML](225) +[PDF](379.23KB)
Analytical study of resonance regions for second kind commensurate fractional systems
Assia Boubidi, Sihem Kechida and Hicham Tebbikh
2020doi: 10.3934/dcdsb.2020247 +[Abstract](432) +[HTML](221) +[PDF](2367.0KB)
Finite-time cluster synchronization of coupled dynamical systems with impulsive effects
Tianhu Yu, Jinde Cao and Chuangxia Huang
2020doi: 10.3934/dcdsb.2020248 +[Abstract](437) +[HTML](230) +[PDF](2278.04KB)
Existence and stability of generalized transition waves for time-dependent reaction-diffusion systems
Xiongxiong Bao and Wan-Tong Li
2020doi: 10.3934/dcdsb.2020249 +[Abstract](437) +[HTML](205) +[PDF](458.23KB)
Part-convergent cocycles and semi-convergent attractors of stochastic 2D-Ginzburg-Landau delay equations toward zero-memory
Yangrong Li, Fengling Wang and Shuang Yang
2020doi: 10.3934/dcdsb.2020250 +[Abstract](331) +[HTML](208) +[PDF](397.87KB)
Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes
Matheus C. Bortolan and José Manuel Uzal
2020doi: 10.3934/dcdsb.2020252 +[Abstract](402) +[HTML](209) +[PDF](414.69KB)
Flocking and line-shaped spatial configuration to delayed Cucker-Smale models
Zhisu Liu, Yicheng Liu and Xiang Li
2020doi: 10.3934/dcdsb.2020253 +[Abstract](410) +[HTML](200) +[PDF](724.52KB)
Analysis of non-Markovian effects in generalized birth-death models
Zhenquan Zhang, Meiling Chen, Jiajun Zhang and Tianshou Zhou
2020doi: 10.3934/dcdsb.2020254 +[Abstract](411) +[HTML](223) +[PDF](486.6KB)
The coupled 1:2 resonance in a symmetric case and parametric amplification model
Reza Mazrooei-Sebdani and Zahra Yousefi
2020doi: 10.3934/dcdsb.2020255 +[Abstract](398) +[HTML](200) +[PDF](2657.04KB)
Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment
Weiyi Zhang, Zuhan Liu and Ling Zhou
2020doi: 10.3934/dcdsb.2020256 +[Abstract](487) +[HTML](226) +[PDF](520.94KB)
Evolutionary de Rham-Hodge method
Jiahui Chen, Rundong Zhao, Yiying Tong and Guo-Wei Wei
2020doi: 10.3934/dcdsb.2020257 +[Abstract](527) +[HTML](232) +[PDF](5750.56KB)
Convergence of quasilinear parabolic equations to semilinear equations
Flank D. M. Bezerra, Jacson Simsen and Mariza Stefanello Simsen
2020doi: 10.3934/dcdsb.2020258 +[Abstract](346) +[HTML](191) +[PDF](336.71KB)
Threshold dynamics of a general delayed within-host viral infection model with humoral immunity and two modes of virus transmission
Zhikun She and Xin Jiang
2020doi: 10.3934/dcdsb.2020259 +[Abstract](411) +[HTML](198) +[PDF](591.98KB)
Weak pullback mean random attractors for non-autonomous $ p $-Laplacian equations
Anhui Gu
2020doi: 10.3934/dcdsb.2020266 +[Abstract](374) +[HTML](204) +[PDF](343.77KB)
A class of stochastic Fredholm-algebraic equations and applications in finance
Zheng Liu and Tianxiao Wang
2020doi: 10.3934/dcdsb.2020267 +[Abstract](338) +[HTML](216) +[PDF](416.36KB)
On the reducibility of a class of almost periodic Hamiltonian systems
Jia Li and Junxiang Xu
2020doi: 10.3934/dcdsb.2020268 +[Abstract](325) +[HTML](187) +[PDF](331.75KB)
Numerical analysis of two new finite difference methods for time-fractional telegraph equation
Xiaozhong Yang and Xinlong Liu
2020doi: 10.3934/dcdsb.2020269 +[Abstract](415) +[HTML](193) +[PDF](4381.15KB)
On the generalized Burgers-Huxley equation: Existence, uniqueness, regularity, global attractors and numerical studies
Manil T. Mohan and Arbaz Khan
2020doi: 10.3934/dcdsb.2020270 +[Abstract](553) +[HTML](245) +[PDF](720.63KB)
Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion
Wei Wang, Wanbiao Ma and Xiulan Lai
2020doi: 10.3934/dcdsb.2020271 +[Abstract](359) +[HTML](188) +[PDF](911.63KB)
Complex dynamics in a quasi-periodic plasma perturbations model
Xin Zhang and Shuangling Yang
2020doi: 10.3934/dcdsb.2020272 +[Abstract](481) +[HTML](202) +[PDF](964.15KB)
Effect of diffusion in a spatial SIS epidemic model with spontaneous infection
Yachun Tong, Inkyung Ahn and Zhigui Lin
2020doi: 10.3934/dcdsb.2020273 +[Abstract](347) +[HTML](177) +[PDF](344.61KB)
A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment
Linhe Zhu, Wenshan Liu and Zhengdi Zhang
2020doi: 10.3934/dcdsb.2020274 +[Abstract](344) +[HTML](186) +[PDF](1429.68KB)
When do Keller–Segel systems with heterogeneous logistic sources admit generalized solutions?
Jianlu Yan and Mario Fuest
2020doi: 10.3934/dcdsb.2020275 +[Abstract](352) +[HTML](191) +[PDF](398.57KB)
Time-domain analysis of forward obstacle scattering for elastic wave
Lu Zhao, Heping Dong and Fuming Ma
2020doi: 10.3934/dcdsb.2020276 +[Abstract](439) +[HTML](187) +[PDF](425.44KB)
A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction
Xiu Ye and Shangyou Zhang
2020doi: 10.3934/dcdsb.2020277 +[Abstract](315) +[HTML](191) +[PDF](293.71KB)
Optimal control of an avian influenza model with multiple time delays in state and control variables
Ting Kang, Qimin Zhang and Haiyan Wang
2020doi: 10.3934/dcdsb.2020278 +[Abstract](386) +[HTML](205) +[PDF](2524.24KB)
Dynamics of the food-chain population in a polluted environment with impulsive input of toxicant
Yu Mu and Wing-Cheong Lo
2020doi: 10.3934/dcdsb.2020279 +[Abstract](345) +[HTML](201) +[PDF](3625.43KB)
Dynamic analysis of an $ SEIR $ epidemic model with a time lag in awareness allocated funds
Riane Hajjami, Mustapha El Jarroudi, Aadil Lahrouz, Adel Settati, Mohamed EL Fatini and Kai Wang
2020doi: 10.3934/dcdsb.2020285 +[Abstract](332) +[HTML](176) +[PDF](3046.97KB)
Emergent behaviors of the generalized Lohe matrix model
Seung-Yeal Ha and Hansol Park
2020doi: 10.3934/dcdsb.2020286 +[Abstract](323) +[HTML](165) +[PDF](443.59KB)
A flow on $ S^2 $ presenting the ball as its minimal set
Tiago Carvalho and Luiz Fernando Gonçalves
2020doi: 10.3934/dcdsb.2020287 +[Abstract](502) +[HTML](205) +[PDF](573.82KB)
Asymptotics in a two-species chemotaxis system with logistic source
Wenji Zhang and Pengcheng Niu
2020doi: 10.3934/dcdsb.2020288 +[Abstract](268) +[HTML](151) +[PDF](326.69KB)
On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
Tomás Caraballo, Tran Bao Ngoc, Tran Ngoc Thach and Nguyen Huy Tuan
2020doi: 10.3934/dcdsb.2020289 +[Abstract](378) +[HTML](188) +[PDF](467.44KB)
Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/dcdsb.2020290 +[Abstract](274) +[HTML](144) +[PDF](487.62KB)
Density function analysis for a stochastic SEIS epidemic model with non-degenerate diffusion
Qun Liu and Qingmei Chen
2020doi: 10.3934/dcdsb.2020291 +[Abstract](263) +[HTML](380) +[PDF](316.13KB)
Modulation approximation for the quantum Euler-Poisson equation
Dongfen Bian, Huimin Liu and Xueke Pu
2020doi: 10.3934/dcdsb.2020292 +[Abstract](277) +[HTML](161) +[PDF](456.23KB)
Bifurcations in an economic model with fractional degree
Shaowen Shi and Weinian Zhang
2020doi: 10.3934/dcdsb.2020293 +[Abstract](321) +[HTML](159) +[PDF](2424.46KB)
Pullback attractors for a weakly damped wave equation with delays and sup-cubic nonlinearity
Kaixuan Zhu, Yongqin Xie and Xinyu Mei
2020doi: 10.3934/dcdsb.2020294 +[Abstract](321) +[HTML](164) +[PDF](467.23KB)
Bifurcation analysis of a general activator-inhibitor model with nonlocal dispersal
Xiaoli Wang and Guohong Zhang
2020doi: 10.3934/dcdsb.2020295 +[Abstract](291) +[HTML](155) +[PDF](573.57KB)
Lyapunov functions for disease models with immigration of infected hosts
Connell McCluskey
2020doi: 10.3934/dcdsb.2020296 +[Abstract](303) +[HTML](158) +[PDF](363.49KB)
Scattering and strong instability of the standing waves for dipolar quantum gases
Juan Huang
2020doi: 10.3934/dcdsb.2020297 +[Abstract](324) +[HTML](159) +[PDF](394.49KB)
Guaranteed cost control of discrete-time switched saturated systems
Haijun Sun and Xinquan Zhang
2020doi: 10.3934/dcdsb.2020300 +[Abstract](326) +[HTML](149) +[PDF](362.43KB)
Periodic solutions of a tumor-immune system interaction under a periodic immunotherapy
Gladis Torres-Espino and Claudio Vidal
2020doi: 10.3934/dcdsb.2020301 +[Abstract](297) +[HTML](169) +[PDF](3955.2KB)
The effect of caputo fractional difference operator on a novel game theory model
Amina-Aicha Khennaoui, A. Othman Almatroud, Adel Ouannas, M. Mossa Al-sawalha, Giuseppe Grassi and Viet-Thanh Pham
2020doi: 10.3934/dcdsb.2020302 +[Abstract](370) +[HTML](173) +[PDF](10684.71KB)
Time periodic solutions for a two-species chemotaxis-Navier-Stokes system
Changchun Liu and Pingping Li
2020doi: 10.3934/dcdsb.2020303 +[Abstract](556) +[HTML](213) +[PDF](371.38KB)
A dynamical theory for singular stochastic delay differential equations Ⅱ: nonlinear equations and invariant manifolds
Mazyar Ghani Varzaneh and Sebastian Riedel
2020doi: 10.3934/dcdsb.2020304 +[Abstract](283) +[HTML](143) +[PDF](411.67KB)
Modeling error of $ \alpha $-models of turbulence on a two-dimensional torus
Luigi C. Berselli, Argus Adrian Dunca, Roger Lewandowski and Dinh Duong Nguyen
2020doi: 10.3934/dcdsb.2020305 +[Abstract](391) +[HTML](140) +[PDF](430.13KB)
Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems
Everaldo de Mello Bonotto, Matheus Cheque Bortolan, Rodolfo Collegari and José Manuel Uzal
2020doi: 10.3934/dcdsb.2020306 +[Abstract](264) +[HTML](133) +[PDF](325.47KB)
Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell
Xuming Xie
2020doi: 10.3934/dcdsb.2020307 +[Abstract](269) +[HTML](138) +[PDF](357.14KB)
Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/dcdsb.2020308 +[Abstract](264) +[HTML](143) +[PDF](324.97KB)
Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay
Tongtong Liang and Yejuan Wang
2020doi: 10.3934/dcdsb.2020309 +[Abstract](358) +[HTML](141) +[PDF](417.51KB)
Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications
Qi Yao, Linshan Wang and Yangfan Wang
2020doi: 10.3934/dcdsb.2020310 +[Abstract](302) +[HTML](165) +[PDF](721.94KB)
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection
Lin Lu, Qi Wang, Yongzhong Song and Yushun Wang
2020doi: 10.3934/dcdsb.2020311 +[Abstract](345) +[HTML](194) +[PDF](8403.18KB)
Invasion dynamics of a diffusive pioneer-climax model: Monotone and non-monotone cases
Yuxiang Zhang and Shiwang Ma
2020doi: 10.3934/dcdsb.2020312 +[Abstract](310) +[HTML](132) +[PDF](430.04KB)
Propagation phenomena for a criss-cross infection model with non-diffusive susceptible population in periodic media
Liangliang Deng and Zhi-Cheng Wang
2020doi: 10.3934/dcdsb.2020313 +[Abstract](272) +[HTML](139) +[PDF](417.32KB)
Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics
Zhixian Yu, Rong Yuan and Shaohua Gan
2020doi: 10.3934/dcdsb.2020314 +[Abstract](254) +[HTML](142) +[PDF](436.93KB)
On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Peter Giesl
2020doi: 10.3934/dcdsb.2020315 +[Abstract](277) +[HTML](137) +[PDF](616.54KB)
Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model
Weiwei Liu, Jinliang Wang and Yuming Chen
2020doi: 10.3934/dcdsb.2020316 +[Abstract](378) +[HTML](145) +[PDF](359.14KB)
A stochastic differential equation SIS epidemic model with regime switching
Siyang Cai, Yongmei Cai and Xuerong Mao
2020doi: 10.3934/dcdsb.2020317 +[Abstract](440) +[HTML](135) +[PDF](558.31KB)
A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation
Leilei Wei and Yinnian He
2020doi: 10.3934/dcdsb.2020319 +[Abstract](398) +[HTML](124) +[PDF](785.9KB)
On existence and uniqueness properties for solutions of stochastic fixed point equations
Christian Beck, Lukas Gonon, Martin Hutzenthaler and Arnulf Jentzen
2020doi: 10.3934/dcdsb.2020320 +[Abstract](382) +[HTML](157) +[PDF](457.0KB)
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition
Abdelghafour Atlas, Mostafa Bendahmane, Fahd Karami, Driss Meskine and Omar Oubbih
2020doi: 10.3934/dcdsb.2020321 +[Abstract](505) +[HTML](146) +[PDF](2275.19KB)
A comparative study of atomistic-based stress evaluation
Shuyang Dai, Fengru Wang, Jerry Zhijian Yang and Cheng Yuan
2020doi: 10.3934/dcdsb.2020322 +[Abstract](277) +[HTML](150) +[PDF](917.21KB)
Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations
Zhenzhen Wang and Tianshou Zhou
2020doi: 10.3934/dcdsb.2020323 +[Abstract](363) +[HTML](125) +[PDF](345.74KB)
Stochastic modelling and analysis of harvesting model: Application to "summer fishing moratorium" by intermittent control
Xiaoling Zou and Yuting Zheng
2020doi: 10.3934/dcdsb.2020332 +[Abstract](266) +[HTML](135) +[PDF](605.28KB)
Traveling wave solutions for a cancer stem cell invasion model
Caleb Mayer and Eric Stachura
2020doi: 10.3934/dcdsb.2020333 +[Abstract](293) +[HTML](138) +[PDF](465.35KB)
Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity
Xiangdong Zhao
2020doi: 10.3934/dcdsb.2020334 +[Abstract](252) +[HTML](126) +[PDF](270.45KB)
Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps
Shangzhi Li and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020335 +[Abstract](271) +[HTML](121) +[PDF](1428.5KB)
Long time localization of modified surface quasi-geostrophic equations
Guido Cavallaro, Roberto Garra and Carlo Marchioro
2020doi: 10.3934/dcdsb.2020336 +[Abstract](328) +[HTML](133) +[PDF](303.12KB)
Recurrent solutions of the Schrödinger-KdV system with boundary forces
Mo Chen
2020doi: 10.3934/dcdsb.2020337 +[Abstract](214) +[HTML](129) +[PDF](409.32KB)
Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
Hiroshi Ito
2020doi: 10.3934/dcdsb.2020338 +[Abstract](240) +[HTML](140) +[PDF](602.84KB)
The threshold dynamics of a discrete-time echinococcosis transmission model
Cuicui Li, Lin Zhou, Zhidong Teng and Buyu Wen
2020doi: 10.3934/dcdsb.2020339 +[Abstract](397) +[HTML](153) +[PDF](2005.29KB)
A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition
Shenglan Xie, Maoan Han and Peng Zhu
2020doi: 10.3934/dcdsb.2020340 +[Abstract](356) +[HTML](134) +[PDF](1094.51KB)
Qualitative analysis of a simple tumor-immune system with time delay of tumor action
Jianquan Li, Xin Xie, Dian Zhang, Jia Li and Xiaolin Lin
2020doi: 10.3934/dcdsb.2020341 +[Abstract](338) +[HTML](130) +[PDF](765.02KB)
Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem
Susmita Sadhu
2020doi: 10.3934/dcdsb.2020342 +[Abstract](507) +[HTML](143) +[PDF](3254.65KB)
Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors
Adam Glick and Antonio Mastroberardino
2020doi: 10.3934/dcdsb.2020343 +[Abstract](377) +[HTML](189) +[PDF](1029.42KB)
Codimension one and two bifurcations in Cattaneo-Christov heat flux model
Zhouchao Wei, Wei Zhang, Irene Moroz and Nikolay V. Kuznetsov
2020doi: 10.3934/dcdsb.2020344 +[Abstract](357) +[HTML](165) +[PDF](795.37KB)
Singular support of the global attractor for a damped BBM equation
Jianhua Huang, Yanbin Tang and Ming Wang
2020doi: 10.3934/dcdsb.2020345 +[Abstract](339) +[HTML](147) +[PDF](354.48KB)
Qualitative analysis of a generalized Nosé-Hoover oscillator
Qianqian Han and Xiao-Song Yang
2020doi: 10.3934/dcdsb.2020346 +[Abstract](262) +[HTML](131) +[PDF](349.78KB)
Optimal control strategies for an online game addiction model with low and high risk exposure
Youming Guo and Tingting Li
2020doi: 10.3934/dcdsb.2020347 +[Abstract](377) +[HTML](140) +[PDF](729.29KB)
Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
Zhilei Liang and Jiangyu Shuai
2020doi: 10.3934/dcdsb.2020348 +[Abstract](319) +[HTML](122) +[PDF](450.33KB)
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan and Ji Li
2020doi: 10.3934/dcdsb.2020349 +[Abstract](337) +[HTML](121) +[PDF](728.38KB)
Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
2020doi: 10.3934/dcdsb.2020352 +[Abstract](357) +[HTML](127) +[PDF](468.15KB)
Norm inflation for the Boussinesq system
Zongyuan Li and Weinan Wang
2020doi: 10.3934/dcdsb.2020353 +[Abstract](357) +[HTML](110) +[PDF](323.04KB)
On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type
Nguyen Huy Tuan
2020doi: 10.3934/dcdsb.2020354 +[Abstract](357) +[HTML](110) +[PDF](674.04KB)
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Abdollah Borhanifar, Maria Alessandra Ragusa and Sohrab Valizadeh
2020doi: 10.3934/dcdsb.2020355 +[Abstract](286) +[HTML](103) +[PDF](365.54KB)
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility
Nalin Fonseka, Jerome Goddard II, Ratnasingham Shivaji and Byungjae Son
2020doi: 10.3934/dcdsb.2020356 +[Abstract](243) +[HTML](142) +[PDF](817.57KB)
The spatially heterogeneous diffusive rabies model and its shadow system
Yuxin Zhang
2020doi: 10.3934/dcdsb.2020357 +[Abstract](306) +[HTML](115) +[PDF](518.52KB)
The effect of surface pattern property on the advancing motion of three-dimensional droplets
Hua Zhong, Xiaolin Fan and Shuyu Sun
2020doi: 10.3934/dcdsb.2020366 +[Abstract](292) +[HTML](118) +[PDF](3771.13KB)
Strong convergence rates for markovian representations of fractional processes
Philipp Harms
2020doi: 10.3934/dcdsb.2020367 +[Abstract](249) +[HTML](110) +[PDF](4157.51KB)
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
Huanhuan Tian and Maoan Han
2020doi: 10.3934/dcdsb.2020368 +[Abstract](330) +[HTML](107) +[PDF](1088.96KB)
Mathematical analysis of a three-tiered food-web in the chemostat
Sarra Nouaoura, Radhouane Fekih-Salem, Nahla Abdellatif and Tewfik Sari
2020doi: 10.3934/dcdsb.2020369 +[Abstract](339) +[HTML](114) +[PDF](1143.99KB)
Stable transition layers in an unbalanced bistable equation
Maicon Sônego
2020doi: 10.3934/dcdsb.2020370 +[Abstract](309) +[HTML](103) +[PDF](367.05KB)
Permanence, extinction and periodic solution of a stochastic single-species model with Lévy noises
Jiangtao Yang
2020doi: 10.3934/dcdsb.2020371 +[Abstract](356) +[HTML](102) +[PDF](607.06KB)
Parameter identification on Abelian integrals to achieve Chebyshev property
Xianbo Sun, Zhanbo Chen and Pei Yu
2020doi: 10.3934/dcdsb.2020375 +[Abstract](193) +[HTML](94) +[PDF](598.4KB)
Dynamics of non-autonomous fractional reaction-diffusion equations on $ \mathbb{R}^{N} $ driven by multiplicative noise
Kaixuan Zhu, Ji Li, Yongqin Xie and Mingji Zhang
2020doi: 10.3934/dcdsb.2020376 +[Abstract](367) +[HTML](178) +[PDF](593.12KB)
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
Tong Tang and Jianzhu Sun
2020doi: 10.3934/dcdsb.2020377 +[Abstract](225) +[HTML](93) +[PDF](367.76KB)
System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2020doi: 10.3934/dcdsb.2020378 +[Abstract](224) +[HTML](92) +[PDF](9135.26KB)
Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
2020doi: 10.3934/dcdsb.2021001 +[Abstract](212) +[HTML](93) +[PDF](302.95KB)
Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces
Xing Wu and Keqin Su
2020doi: 10.3934/dcdsb.2021002 +[Abstract](203) +[HTML](84) +[PDF](323.06KB)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Kevin Li
2020doi: 10.3934/dcdsb.2021003 +[Abstract](179) +[HTML](93) +[PDF](616.18KB)
On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease
Nabahats Dib-Baghdadli, Rabah Labbas, Tewfik Mahdjoub and Ahmed Medeghri
2020doi: 10.3934/dcdsb.2021004 +[Abstract](398) +[HTML](99) +[PDF](431.96KB)
Water taxes and fines imposed on legal and illegal firms exploiting groudwater
Marta Biancardi, Lucia Maddalena and Giovanni Villani
2020doi: 10.3934/dcdsb.2021008 +[Abstract](180) +[HTML](95) +[PDF](1340.6KB)
Existence of periodic wave trains for an age-structured model with diffusion
Zhihua Liu, Yayun Wu and Xiangming Zhang
2020doi: 10.3934/dcdsb.2021009 +[Abstract](234) +[HTML](94) +[PDF](683.26KB)
Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
Xin Zhao, Tao Feng, Liang Wang and Zhipeng Qiu
2020doi: 10.3934/dcdsb.2021010 +[Abstract](264) +[HTML](107) +[PDF](943.99KB)
Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity
Hui Zhao, Zhengrong Liu and Yiren Chen
2020doi: 10.3934/dcdsb.2021011 +[Abstract](205) +[HTML](93) +[PDF](408.14KB)
Stochastic and deterministic SIS patch model
Ténan Yeo
2020doi: 10.3934/dcdsb.2021012 +[Abstract](205) +[HTML](83) +[PDF](359.76KB)
Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays
Xianyong Chen and Weihua Jiang
2020doi: 10.3934/dcdsb.2021013 +[Abstract](197) +[HTML](81) +[PDF](1242.73KB)
The global attractor for the wave equation with nonlocal strong damping
Biyue Chen, Chunxiang Zhao and Chengkui Zhong
2021doi: 10.3934/dcdsb.2021015 +[Abstract](210) +[HTML](66) +[PDF](388.22KB)
Complex dynamics of a SIRS epidemic model with the influence of hospital bed number
Yancong Xu, Lijun Wei, Xiaoyu Jiang and Zirui Zhu
2021doi: 10.3934/dcdsb.2021016 +[Abstract](200) +[HTML](73) +[PDF](1166.08KB)
Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion
Mohammad Ghani, Jingyu Li and Kaijun Zhang
2021doi: 10.3934/dcdsb.2021017 +[Abstract](397) +[HTML](104) +[PDF](299.6KB)
Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
Yanan Li, Zhijian Yang and Na Feng
2021doi: 10.3934/dcdsb.2021018 +[Abstract](179) +[HTML](67) +[PDF](365.82KB)
Weak time discretization for slow-fast stochastic reaction-diffusion equations
Chungang Shi, Wei Wang and Dafeng Chen
2021doi: 10.3934/dcdsb.2021019 +[Abstract](191) +[HTML](82) +[PDF](368.41KB)
Limiting behavior of unstable manifolds for spdes in varying phase spaces
Lin Shi, Dingshi Li and Kening Lu
2021doi: 10.3934/dcdsb.2021020 +[Abstract](159) +[HTML](85) +[PDF](474.46KB)
Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
2021doi: 10.3934/dcdsb.2021021 +[Abstract](172) +[HTML](81) +[PDF](328.82KB)
Uniform stabilization of 1-D Schrödinger equation with internal difference-type control
Xiaorui Wang, Genqi Xu and Hao Chen
2021doi: 10.3934/dcdsb.2021022 +[Abstract](211) +[HTML](76) +[PDF](520.74KB)
Global attractors of two layer baroclinic quasi-geostrophic model
Yanhong Zhang
2021doi: 10.3934/dcdsb.2021023 +[Abstract](152) +[HTML](70) +[PDF](330.84KB)
On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions
Fang Li and Bo You
2021doi: 10.3934/dcdsb.2021024 +[Abstract](159) +[HTML](75) +[PDF](374.69KB)
The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
2021doi: 10.3934/dcdsb.2021025 +[Abstract](238) +[HTML](75) +[PDF](408.67KB)
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
Mengyu Cheng and Zhenxin Liu
2021doi: 10.3934/dcdsb.2021026 +[Abstract](167) +[HTML](62) +[PDF](475.09KB)
Dynamics of a vector-host model under switching environments
Harrison Watts, Arti Mishra, Dang H. Nguyen and Tran D. Tuong
2021doi: 10.3934/dcdsb.2021029 +[Abstract](148) +[HTML](65) +[PDF](632.32KB)
Initial value problem for fractional Volterra integro-differential equations with Caputo derivative
Huy Tuan Nguyen, Huu Can Nguyen, Renhai Wang and Yong Zhou
2021doi: 10.3934/dcdsb.2021030 +[Abstract](126) +[HTML](59) +[PDF](1356.88KB)
First Return Time to the contact hyperplane for $ N $-degree-of-freedom vibro-impact systems
Huong Le Thi, Stéphane Junca and Mathias Legrand
2021doi: 10.3934/dcdsb.2021031 +[Abstract](108) +[HTML](58) +[PDF](1480.08KB)
Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in $ \mathbb{R}^2 $
Brahim Alouini
2021doi: 10.3934/dcdsb.2021032 +[Abstract](80) +[HTML](56) +[PDF](571.06KB)
Approximate dynamics of a class of stochastic wave equations with white noise
Guanggan Chen, Qin Li and Yunyun Wei
2021doi: 10.3934/dcdsb.2021033 +[Abstract](89) +[HTML](51) +[PDF](515.85KB)
Modeling, approximation, and time optimal temperature control for binder removal from ceramics
Carmen Chicone, Stephen J. Lombardo and David G. Retzloff
2021doi: 10.3934/dcdsb.2021034 +[Abstract](113) +[HTML](55) +[PDF](1153.52KB)
Monotonic and nonmonotonic immune responses in viral infection systems
Shaoli Wang, Huixia Li and Fei Xu
2021doi: 10.3934/dcdsb.2021035 +[Abstract](130) +[HTML](54) +[PDF](2713.27KB)
Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
2021doi: 10.3934/dcdsb.2021036 +[Abstract](110) +[HTML](55) +[PDF](390.11KB)
Analysis of an age-structured model for HIV-TB co-infection
Zhong-Kai Guo, Hai-Feng Huo and Hong Xiang
2021doi: 10.3934/dcdsb.2021037 +[Abstract](156) +[HTML](60) +[PDF](607.46KB)
The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays
Yiwen Tao and Jingli Ren
2021doi: 10.3934/dcdsb.2021038 +[Abstract](126) +[HTML](60) +[PDF](310.78KB)
Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
2021doi: 10.3934/dcdsb.2021039 +[Abstract](148) +[HTML](79) +[PDF](422.07KB)
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva and Helder Vilarinho
2021doi: 10.3934/dcdsb.2021040 +[Abstract](116) +[HTML](61) +[PDF](342.26KB)
Survival analysis for tumor growth model with stochastic perturbation
Dongxi Li, Ni Zhang, Ming Yan and Yanya Xing
2021doi: 10.3934/dcdsb.2021041 +[Abstract](109) +[HTML](75) +[PDF](425.53KB)
Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $
Shijin Ding, Bingyuan Huang and Xiaoyan Hou
2021doi: 10.3934/dcdsb.2021042 +[Abstract](125) +[HTML](62) +[PDF](533.92KB)
Behavior of solution of stochastic difference equation with continuous time under additive fading noise
Leonid Shaikhet
2021doi: 10.3934/dcdsb.2021043 +[Abstract](95) +[HTML](52) +[PDF](125.57KB)
Global boundedness for a $ \mathit{\boldsymbol{N}} $-dimensional two species cancer invasion haptotaxis model with tissue remodeling
Feng Dai and Bin Liu
2021doi: 10.3934/dcdsb.2021044 +[Abstract](104) +[HTML](68) +[PDF](487.19KB)
Global existence in a chemotaxis system with singular sensitivity and signal production
Guoqiang Ren and Heping Ma
2021doi: 10.3934/dcdsb.2021045 +[Abstract](109) +[HTML](66) +[PDF](381.09KB)
On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
Xu Pan and Liangchen Wang
2021doi: 10.3934/dcdsb.2021047 +[Abstract](123) +[HTML](92) +[PDF](452.45KB)
Persistence of mosquito vector and dengue: Impact of seasonal and diurnal temperature variations
Naveen K. Vaidya and Feng-Bin Wang
2021doi: 10.3934/dcdsb.2021048 +[Abstract](158) +[HTML](60) +[PDF](692.85KB)
Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
Zecen He, Haihua Liang and Xiang Zhang
2021doi: 10.3934/dcdsb.2021049 +[Abstract](102) +[HTML](57) +[PDF](1038.75KB)
Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains
Xiaobin Yao
2021doi: 10.3934/dcdsb.2021050 +[Abstract](55) +[HTML](27) +[PDF](461.18KB)
Existence of global weak solutions of $ p $-Navier-Stokes equations
Jian-Guo Liu and Zhaoyun Zhang
2021doi: 10.3934/dcdsb.2021051 +[Abstract](101) +[HTML](48) +[PDF](381.15KB)
Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry
Kunquan Li and Yaobin Ou
2021doi: 10.3934/dcdsb.2021052 +[Abstract](169) +[HTML](55) +[PDF](516.33KB)
Dynamics of Timoshenko system with time-varying weight and time-varying delay
Carlos Nonato, Manoel Jeremias dos Santos and Carlos Raposo
2021doi: 10.3934/dcdsb.2021053 +[Abstract](93) +[HTML](34) +[PDF](382.21KB)
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
2021doi: 10.3934/dcdsb.2021054 +[Abstract](53) +[HTML](26) +[PDF](1427.46KB)
Stabilization by intermittent control for hybrid stochastic differential delay equations
Wei Mao, Yanan Jiang, Liangjian Hu and Xuerong Mao
2021doi: 10.3934/dcdsb.2021055 +[Abstract](76) +[HTML](32) +[PDF](365.0KB)
Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
Dandan Li
2021doi: 10.3934/dcdsb.2021056 +[Abstract](64) +[HTML](28) +[PDF](349.5KB)
A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains
Siqing Li and Zhonghua Qiao
2021doi: 10.3934/dcdsb.2021057 +[Abstract](76) +[HTML](39) +[PDF](2343.16KB)
Stability analysis and optimal control of production-limiting disease in farm with two vaccines
Yue Liu and Wing-Cheong Lo
2021doi: 10.3934/dcdsb.2021058 +[Abstract](68) +[HTML](66) +[PDF](726.46KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2021doi: 10.3934/dcdsb.2021059 +[Abstract](66) +[HTML](73) +[PDF](503.55KB)
Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays
Kuo-Shou Chiu
2021doi: 10.3934/dcdsb.2021060 +[Abstract](58) +[HTML](37) +[PDF](2647.31KB)
Bifurcation analysis in a delayed toxic-phytoplankton and zooplankton ecosystem with Monod-Haldane functional response
Zhichao Jiang, Zexian Zhang and Maoyan Jie
2021doi: 10.3934/dcdsb.2021061 +[Abstract](57) +[HTML](25) +[PDF](2829.38KB)
Evaluating vaccination effectiveness of group-specific fractional-dose strategies
Zhimin Chen, Kaihui Liu and Xiuxiang Liu
2021doi: 10.3934/dcdsb.2021062 +[Abstract](86) +[HTML](40) +[PDF](721.28KB)
Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
Lu Zhang, Aihong Zou, Tao Yan and Ji Shu
2021doi: 10.3934/dcdsb.2021063 +[Abstract](57) +[HTML](24) +[PDF](428.83KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2021doi: 10.3934/dcdsb.2021064 +[Abstract](58) +[HTML](24) +[PDF](1421.34KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2021doi: 10.3934/dcdsb.2021065 +[Abstract](14) +[HTML](4) +[PDF](430.86KB)
Input-to-state stability of infinite-dimensional stochastic nonlinear systems
Pengfei Wang, Mengyi Zhang and Huan Su
2021doi: 10.3934/dcdsb.2021066 +[Abstract](17) +[HTML](12) +[PDF](309.12KB)
A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment
Bo Duan and Zhengce Zhang
2021doi: 10.3934/dcdsb.2021067 +[Abstract](20) +[HTML](6) +[PDF](372.72KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2021doi: 10.3934/dcdsb.2021068 +[Abstract](19) +[HTML](5) +[PDF](342.07KB)
Stability switching and its directions in cournot duopoly game with three delays
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