ISSN:
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eISSN:
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DCDS-B Flyer: showing all essential information of the journal.
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 high quality 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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Stability analysis and optimal control of production-limiting disease in farm with two vaccines
Yue Liu and Wing-Cheong Lo
2022, 27(2) : 619-638 doi: 10.3934/dcdsb.2021058 +[Abstract](911) +[HTML](457) +[PDF](741.95KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2022, 27(2) : 639-657 doi: 10.3934/dcdsb.2021059 +[Abstract](866) +[HTML](597) +[PDF](520.89KB)
Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays
Kuo-Shou Chiu
2022, 27(2) : 659-689 doi: 10.3934/dcdsb.2021060 +[Abstract](899) +[HTML](434) +[PDF](2663.71KB)
Bifurcation analysis in a delayed toxic-phytoplankton and zooplankton ecosystem with Monod-Haldane functional response
Zhichao Jiang, Zexian Zhang and Maoyan Jie
2022, 27(2) : 691-715 doi: 10.3934/dcdsb.2021061 +[Abstract](786) +[HTML](425) +[PDF](2833.03KB)
Evaluating vaccination effectiveness of group-specific fractional-dose strategies
Zhimin Chen, Kaihui Liu and Xiuxiang Liu
2022, 27(2) : 717-748 doi: 10.3934/dcdsb.2021062 +[Abstract](776) +[HTML](413) +[PDF](731.42KB)
Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
Lu Zhang, Aihong Zou, Tao Yan and Ji Shu
2022, 27(2) : 749-768 doi: 10.3934/dcdsb.2021063 +[Abstract](735) +[HTML](392) +[PDF](446.31KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2022, 27(2) : 769-797 doi: 10.3934/dcdsb.2021064 +[Abstract](785) +[HTML](412) +[PDF](1431.87KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2022, 27(2) : 799-819 doi: 10.3934/dcdsb.2021065 +[Abstract](710) +[HTML](355) +[PDF](448.01KB)
Input-to-state stability of infinite-dimensional stochastic nonlinear systems
Pengfei Wang, Mengyi Zhang and Huan Su
2022, 27(2) : 821-836 doi: 10.3934/dcdsb.2021066 +[Abstract](939) +[HTML](397) +[PDF](326.54KB)
A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment
Bo Duan and Zhengce Zhang
2022, 27(2) : 837-861 doi: 10.3934/dcdsb.2021067 +[Abstract](887) +[HTML](374) +[PDF](396.17KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2022, 27(2) : 863-882 doi: 10.3934/dcdsb.2021068 +[Abstract](812) +[HTML](380) +[PDF](359.34KB)
Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework
Wensheng Yin, Jinde Cao and Guoqiang Zheng
2022, 27(2) : 883-901 doi: 10.3934/dcdsb.2021072 +[Abstract](791) +[HTML](371) +[PDF](350.98KB)
A fast high order method for time fractional diffusion equation with non-smooth data
Haili Qiao and Aijie Cheng
2022, 27(2) : 903-920 doi: 10.3934/dcdsb.2021073 +[Abstract](1161) +[HTML](534) +[PDF](632.0KB)
Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori
Bochao Chen and Yixian Gao
2022, 27(2) : 921-944 doi: 10.3934/dcdsb.2021075 +[Abstract](680) +[HTML](360) +[PDF](431.07KB)
Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents
Florian Dorsch and Hermann Schulz-Baldes
2022, 27(2) : 945-976 doi: 10.3934/dcdsb.2021076 +[Abstract](720) +[HTML](340) +[PDF](1274.28KB)
Dynamics of consumer-resource systems with consumer's dispersal between patches
Kun Hu and Yuanshi Wang
2022, 27(2) : 977-1000 doi: 10.3934/dcdsb.2021077 +[Abstract](663) +[HTML](416) +[PDF](805.05KB)
Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain
Guodong Wang and Bijun Zuo
2022, 27(2) : 1001-1027 doi: 10.3934/dcdsb.2021078 +[Abstract](748) +[HTML](371) +[PDF](464.53KB)
Normal deviation of synchronization of stochastic coupled systems
Jicheng Liu and Meiling Zhao
2022, 27(2) : 1029-1054 doi: 10.3934/dcdsb.2021079 +[Abstract](727) +[HTML](409) +[PDF](464.08KB)
Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two
Dingheng Pi
2022, 27(2) : 1055-1073 doi: 10.3934/dcdsb.2021080 +[Abstract](717) +[HTML](370) +[PDF](379.57KB)
Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control
Mohamed Ouzahra
2022, 27(2) : 1075-1090 doi: 10.3934/dcdsb.2021081 +[Abstract](768) +[HTML](367) +[PDF](343.15KB)
Discrete-time dynamics of structured populations via Feller kernels
Horst R. Thieme
2022, 27(2) : 1091-1119 doi: 10.3934/dcdsb.2021082 +[Abstract](673) +[HTML](357) +[PDF](395.65KB)
Positive solutions of singular multiparameter p-Laplacian elliptic systems
Meiqiang Feng and Yichen Zhang
2022, 27(2) : 1121-1147 doi: 10.3934/dcdsb.2021083 +[Abstract](889) +[HTML](344) +[PDF](402.18KB)
Mixed Hegselmann-Krause dynamics
Hsin-Lun Li
2022, 27(2) : 1149-1162 doi: 10.3934/dcdsb.2021084 +[Abstract](775) +[HTML](389) +[PDF](314.11KB)
Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
Weihua Jiang, Xun Cao and Chuncheng Wang
2022, 27(2) : 1163-1178 doi: 10.3934/dcdsb.2021085 +[Abstract](1313) +[HTML](447) +[PDF](1848.72KB)
Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations
Jinye Shen and Xian-Ming Gu
2022, 27(2) : 1179-1207 doi: 10.3934/dcdsb.2021086 +[Abstract](867) +[HTML](364) +[PDF](481.92KB)
Critical traveling wave solutions for a vaccination model with general incidence
Yu Yang, Jinling Zhou and Cheng-Hsiung Hsu
2021doi: 10.3934/dcdsb.2021087 +[Abstract](698) +[HTML](354) +[PDF](378.86KB)
Synthetic nonlinear second-order oscillators on Riemannian manifolds and their numerical simulation
Simone Fiori, Italo Cervigni, Mattia Ippoliti and Claudio Menotta
2021doi: 10.3934/dcdsb.2021088 +[Abstract](853) +[HTML](424) +[PDF](6944.08KB)
Bifurcation in the almost periodic $ 2 $D Ricker map
Brian Ryals and Robert J. Sacker
2021doi: 10.3934/dcdsb.2021089 +[Abstract](806) +[HTML](423) +[PDF](513.3KB)
Diffusion modeling of tumor-CD4$ ^+ $-cytokine interactions with treatments: asymptotic behavior and stationary patterns
Wenbin Yang, Yujing Gao and Xiaojuan Wang
2021doi: 10.3934/dcdsb.2021090 +[Abstract](1027) +[HTML](391) +[PDF](340.07KB)
Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations
Yongqiang Fu and Xiaoju Zhang
2021doi: 10.3934/dcdsb.2021091 +[Abstract](864) +[HTML](378) +[PDF](379.57KB)
A free boundary problem of the cancer invasion
Yang Zhang
2021doi: 10.3934/dcdsb.2021092 +[Abstract](755) +[HTML](348) +[PDF](369.55KB)
Regularity of global attractors and exponential attractors for $ 2 $D quasi-geostrophic equations with fractional dissipation
Lin Yang, Yejuan Wang and Tomás Caraballo
2021doi: 10.3934/dcdsb.2021093 +[Abstract](703) +[HTML](353) +[PDF](461.2KB)
Boundary-value problems for weakly singular integral equations
Oleksandr Boichuk and Victor Feruk
2021doi: 10.3934/dcdsb.2021094 +[Abstract](1066) +[HTML](411) +[PDF](315.74KB)
Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension
Qian Cao, Yongli Cai and Yong Luo
2021doi: 10.3934/dcdsb.2021095 +[Abstract](728) +[HTML](355) +[PDF](1468.85KB)
A nonsmooth van der Pol-Duffing oscillator (I): The sum of indices of equilibria is $ -1 $
Zhaoxia Wang and Hebai Chen
2021doi: 10.3934/dcdsb.2021096 +[Abstract](618) +[HTML](343) +[PDF](1057.33KB)
Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases
Chunhua Shan
2021doi: 10.3934/dcdsb.2021097 +[Abstract](811) +[HTML](390) +[PDF](3589.84KB)
The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation
Shuting Chen, Zengji Du, Jiang Liu and Ke Wang
2021doi: 10.3934/dcdsb.2021098 +[Abstract](1167) +[HTML](379) +[PDF](530.06KB)
Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system
Yumi Yahagi
2021doi: 10.3934/dcdsb.2021099 +[Abstract](829) +[HTML](390) +[PDF](341.4KB)
Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction
Kazuhiro Kurata and Yuki Osada
2021doi: 10.3934/dcdsb.2021100 +[Abstract](826) +[HTML](371) +[PDF](412.32KB)
A nonsmooth van der Pol-Duffing oscillator (II): The sum of indices of equilibria is $ 1 $
Zhaoxia Wang and Hebai Chen
2021doi: 10.3934/dcdsb.2021101 +[Abstract](629) +[HTML](338) +[PDF](2197.88KB)
Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems
Vladimir Gaitsgory and Ilya Shvartsman
2021doi: 10.3934/dcdsb.2021102 +[Abstract](695) +[HTML](350) +[PDF](324.68KB)
Asymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov equations with delays
Pengyu Chen, Xuping Zhang and Zhitao Zhang
2021doi: 10.3934/dcdsb.2021103 +[Abstract](603) +[HTML](328) +[PDF](324.05KB)
BMO type space associated with Neumann operator and application to a class of parabolic equations
Zhang Chao and Minghua Yang
2021doi: 10.3934/dcdsb.2021104 +[Abstract](685) +[HTML](343) +[PDF](363.21KB)
A general multipatch cholera model in periodic environments
Feng-Bin Wang and Xueying Wang
2021doi: 10.3934/dcdsb.2021105 +[Abstract](750) +[HTML](393) +[PDF](704.48KB)
Transitions and bifurcations of Darcy-Brinkman-Marangoni convection
Zhigang Pan, Yiqiu Mao, Quan Wang and Yuchen Yang
2021doi: 10.3934/dcdsb.2021106 +[Abstract](698) +[HTML](383) +[PDF](1216.61KB)
Pullback random attractors for fractional stochastic $ p $-Laplacian equation with delay and multiplicative noise
Xuping Zhang
2021doi: 10.3934/dcdsb.2021107 +[Abstract](658) +[HTML](332) +[PDF](393.29KB)
Global stability of HIV/HTLV co-infection model with CTL-mediated immunity
A. M. Elaiw and N. H. AlShamrani
2021doi: 10.3934/dcdsb.2021108 +[Abstract](639) +[HTML](294) +[PDF](3593.49KB)
A switching feedback control approach for persistence of managed resources
Daniel Franco, Chris Guiver, Phoebe Smith and Stuart Townley
2021doi: 10.3934/dcdsb.2021109 +[Abstract](606) +[HTML](320) +[PDF](964.2KB)
Optimal distributed control for a coupled phase-field system
Bosheng Chen, Huilai Li and Changchun Liu
2021doi: 10.3934/dcdsb.2021110 +[Abstract](886) +[HTML](383) +[PDF](525.56KB)
Phase transitions of the SIR Rumor spreading model with a variable trust rate
Sun-Ho Choi, Hyowon Seo and Minha Yoo
2021doi: 10.3934/dcdsb.2021111 +[Abstract](659) +[HTML](301) +[PDF](740.38KB)
Weak Galerkin method for the Stokes equations with damping
Hui Peng and Qilong Zhai
2021doi: 10.3934/dcdsb.2021112 +[Abstract](636) +[HTML](308) +[PDF](801.5KB)
Modelling the effects of ozone concentration and pulse vaccination on seasonal influenza outbreaks in Gansu Province, China
Shuang-Lin Jing, Hai-Feng Huo and Hong Xiang
2021doi: 10.3934/dcdsb.2021113 +[Abstract](776) +[HTML](402) +[PDF](3996.48KB)
A short-term food intake model involving glucose, insulin and ghrelin
Massimo Barnabei, Alessandro Borri, Andrea De Gaetano, Costanzo Manes, Pasquale Palumbo and Jorge Guerra Pires
2021doi: 10.3934/dcdsb.2021114 +[Abstract](829) +[HTML](369) +[PDF](393.97KB)
A new approach to get solutions for Kirchhoff-type fractional Schrödinger systems involving critical exponents
Maoding Zhen, Binlin Zhang and Xiumei Han
2021doi: 10.3934/dcdsb.2021115 +[Abstract](720) +[HTML](323) +[PDF](484.74KB)
The multi-dimensional stochastic Stefan financial model for a portfolio of assets
Dimitra C. Antonopoulou, Marina Bitsaki and Georgia Karali
2021doi: 10.3934/dcdsb.2021118 +[Abstract](715) +[HTML](315) +[PDF](813.99KB)
Bloch wave approach to almost periodic homogenization and approximations of effective coefficients
Sista Sivaji Ganesh and Vivek Tewary
2021doi: 10.3934/dcdsb.2021119 +[Abstract](794) +[HTML](308) +[PDF](921.39KB)
A competition model in the chemostat with allelopathy and substrate inhibition
Mohamed Dellal, Bachir Bar and Mustapha Lakrib
2021doi: 10.3934/dcdsb.2021120 +[Abstract](637) +[HTML](369) +[PDF](2247.1KB)
On the family of cubic parabolic polynomials
Alexandre Alves and Mostafa Salarinoghabi
2021doi: 10.3934/dcdsb.2021121 +[Abstract](610) +[HTML](301) +[PDF](484.82KB)
Global solvability to a singular chemotaxis-consumption model with fast and slow diffusion and logistic source
Langhao Zhou, Liangwei Wang and Chunhua Jin
2021doi: 10.3934/dcdsb.2021122 +[Abstract](630) +[HTML](336) +[PDF](388.36KB)
Mathematical analysis of an age-structured HIV model with intracellular delay
Yuan Yuan and Xianlong Fu
2021doi: 10.3934/dcdsb.2021123 +[Abstract](549) +[HTML](315) +[PDF](909.83KB)
Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms
Guanwei Chen and Martin Schechter
2021doi: 10.3934/dcdsb.2021124 +[Abstract](656) +[HTML](300) +[PDF](282.76KB)
Singular function emerging from one-dimensional elementary cellular automaton Rule 150
Akane Kawaharada
2021doi: 10.3934/dcdsb.2021125 +[Abstract](584) +[HTML](295) +[PDF](853.19KB)
Exact and WKB-approximate distributions in a gene expression model with feedback in burst frequency, burst size, and protein stability
Pavol Bokes
2021doi: 10.3934/dcdsb.2021126 +[Abstract](630) +[HTML](336) +[PDF](790.69KB)
Interactions of time delay and spatial diffusion induce the periodic oscillation of the vegetation system
Jing Li, Gui-Quan Sun and Zhen Jin
2021doi: 10.3934/dcdsb.2021127 +[Abstract](818) +[HTML](454) +[PDF](2421.79KB)
Riemann problem for a non-strictly hyperbolic system in chemotaxis
Tong Li and Nitesh Mathur
2021doi: 10.3934/dcdsb.2021128 +[Abstract](1363) +[HTML](355) +[PDF](546.32KB)
A free boundary problem of some modified Leslie-Gower predator-prey model with nonlocal diffusion term
Shiwen Niu, Hongmei Cheng and Rong Yuan
2021doi: 10.3934/dcdsb.2021129 +[Abstract](707) +[HTML](316) +[PDF](457.6KB)
On existence and numerical approximation in phase-lag thermoelasticity with two temperatures
Marco Campo, Maria I. M. Copetti, José R. Fernández and Ramón Quintanilla
2021doi: 10.3934/dcdsb.2021130 +[Abstract](620) +[HTML](304) +[PDF](444.95KB)
Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies
Dohyun Kim and Jeongho Kim
2021doi: 10.3934/dcdsb.2021131 +[Abstract](623) +[HTML](302) +[PDF](2582.61KB)
Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme
Mengxin Chen, Ranchao Wu and Yancong Xu
2021doi: 10.3934/dcdsb.2021132 +[Abstract](681) +[HTML](315) +[PDF](1726.41KB)
Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise
Xiang Lv
2021doi: 10.3934/dcdsb.2021133 +[Abstract](578) +[HTML](311) +[PDF](316.38KB)
Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms
Xueqin Peng and Gao Jia
2021doi: 10.3934/dcdsb.2021134 +[Abstract](686) +[HTML](305) +[PDF](420.23KB)
On a generalized diffusion problem: A complex network approach
Guillaume Cantin and Alexandre Thorel
2021doi: 10.3934/dcdsb.2021135 +[Abstract](622) +[HTML](305) +[PDF](530.63KB)
Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis
Ke Guo, Wanbiao Ma and Rong Qiang
2021doi: 10.3934/dcdsb.2021136 +[Abstract](795) +[HTML](364) +[PDF](2283.88KB)
Homogenization for stochastic reaction-diffusion equations with singular perturbation term
Yangyang Shi and Hongjun Gao
2021doi: 10.3934/dcdsb.2021137 +[Abstract](590) +[HTML](295) +[PDF](495.46KB)
Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays
Chuangxia Huang, Lihong Huang and Jianhong Wu
2021doi: 10.3934/dcdsb.2021138 +[Abstract](585) +[HTML](299) +[PDF](368.8KB)
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation
Jiaxiang Cai, Juan Chen and Min Chen
2021doi: 10.3934/dcdsb.2021139 +[Abstract](590) +[HTML](306) +[PDF](2207.68KB)
Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Tania Biswas and Elisabetta Rocca
2021doi: 10.3934/dcdsb.2021140 +[Abstract](548) +[HTML](296) +[PDF](384.18KB)
Existence of multiple solutions for a fourth-order problem with variable exponent
Marco Donatelli and Luca Vilasi
2021doi: 10.3934/dcdsb.2021141 +[Abstract](552) +[HTML](301) +[PDF](306.03KB)
Center manifolds for ill-posed stochastic evolution equations
Zonghao Li and Caibin Zeng
2021doi: 10.3934/dcdsb.2021142 +[Abstract](772) +[HTML](296) +[PDF](395.64KB)
Optimal control of the SIR epidemic model based on dynamical systems theory
Kazuyuki Yagasaki
2021doi: 10.3934/dcdsb.2021144 +[Abstract](661) +[HTML](307) +[PDF](494.54KB)
Global solutions to the non-local Navier-Stokes equations
Joelma Azevedo, Juan Carlos Pozo and Arlúcio Viana
2021doi: 10.3934/dcdsb.2021146 +[Abstract](588) +[HTML](306) +[PDF](499.49KB)
Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces
Baoyan Sun and Kung-Chien Wu
2021doi: 10.3934/dcdsb.2021147 +[Abstract](537) +[HTML](282) +[PDF](435.48KB)
Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi and Alberto Lanconelli
2021doi: 10.3934/dcdsb.2021148 +[Abstract](490) +[HTML](277) +[PDF](637.79KB)
Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system
Gengen Zhang
2021doi: 10.3934/dcdsb.2021149 +[Abstract](579) +[HTML](341) +[PDF](2360.81KB)
The model of nutrients influence on the tumor growth
Rudolf Olach, Vincent Lučanský and Božena Dorociaková
2021doi: 10.3934/dcdsb.2021150 +[Abstract](643) +[HTML](310) +[PDF](309.77KB)
Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions
Kazuyuki Yagasaki
2021doi: 10.3934/dcdsb.2021151 +[Abstract](527) +[HTML](275) +[PDF](535.44KB)
Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse
Jia-Bing Wang, Shao-Xia Qiao and Chufen Wu
2021doi: 10.3934/dcdsb.2021152 +[Abstract](564) +[HTML](354) +[PDF](820.87KB)
A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem
Yoshiho Akagawa, Elliott Ginder, Syota Koide, Seiro Omata and Karel Svadlenka
2021doi: 10.3934/dcdsb.2021153 +[Abstract](564) +[HTML](265) +[PDF](2103.6KB)
Gaussian invariant measures and stationary solutions of 2D primitive equations
Francesco Grotto and Umberto Pappalettera
2021doi: 10.3934/dcdsb.2021154 +[Abstract](486) +[HTML](283) +[PDF](357.49KB)
The eigenvalue problem for a class of degenerate operators related to the normalized $ p $-Laplacian
Fang Liu
2021doi: 10.3934/dcdsb.2021155 +[Abstract](780) +[HTML](271) +[PDF](410.44KB)
Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient
Xuan Liu and Ting Zhang
2021doi: 10.3934/dcdsb.2021156 +[Abstract](638) +[HTML](261) +[PDF](523.96KB)
Corrigendum: On the Abel differential equations of third kind
Regilene Oliveira and Cláudia Valls
2021doi: 10.3934/dcdsb.2021157 +[Abstract](1003) +[HTML](272) +[PDF](341.8KB)
Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response
Zhijun Liu, Lianwen Wang and Ronghua Tan
2021doi: 10.3934/dcdsb.2021159 +[Abstract](509) +[HTML](312) +[PDF](4451.54KB)
The qualitative behavior of a plankton-fish interaction model with food limited growth rate and non-constant fish harvesting
R. P. Gupta, Shristi Tiwari and Shivam Saxena
2021doi: 10.3934/dcdsb.2021160 +[Abstract](489) +[HTML](357) +[PDF](2330.22KB)
Monopoly conditions in a Cournot-Theocharis oligopoly model under adaptive expectations
Jose S. Cánovas and María Muñoz-Guillermo
2021doi: 10.3934/dcdsb.2021161 +[Abstract](431) +[HTML](302) +[PDF](415.84KB)
On q-deformed logistic maps
Jose S. Cánovas
2021doi: 10.3934/dcdsb.2021162 +[Abstract](464) +[HTML](282) +[PDF](751.28KB)
A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems
Xiaoxiao He, Fei Song and Weibing Deng
2021doi: 10.3934/dcdsb.2021163 +[Abstract](508) +[HTML](269) +[PDF](417.25KB)
On the mean field limit for Cucker-Smale models
Roberto Natalini and Thierry Paul
2021doi: 10.3934/dcdsb.2021164 +[Abstract](615) +[HTML](245) +[PDF](356.25KB)
A true three-scroll chaotic attractor coined
Haijun Wang, Hongdan Fan and Jun Pan
2021doi: 10.3934/dcdsb.2021165 +[Abstract](481) +[HTML](315) +[PDF](7027.23KB)
Analysis of stationary patterns arising from a time-discrete metapopulation model with nonlocal competition
Ozgur Aydogmus and Yun Kang
2021doi: 10.3934/dcdsb.2021166 +[Abstract](469) +[HTML](345) +[PDF](742.05KB)
The Lewy-Stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations
Pu-Zhao Kow and Masato Kimura
2021doi: 10.3934/dcdsb.2021167 +[Abstract](492) +[HTML](249) +[PDF](493.83KB)
Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
Aowen Kong, Carlos Nonato, Wenjun Liu, Manoel Jeremias dos Santos and Carlos Raposo
2021doi: 10.3934/dcdsb.2021168 +[Abstract](563) +[HTML](290) +[PDF](412.89KB)
Modeling the influence of human population and human population augmented pollution on rainfall
A. K. Misra, Gauri Agrawal and Kusum Lata
2021doi: 10.3934/dcdsb.2021169 +[Abstract](600) +[HTML](270) +[PDF](1107.61KB)
The effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic model
Tianhui Yang, Ammar Qarariyah and Qigui Yang
2021doi: 10.3934/dcdsb.2021170 +[Abstract](882) +[HTML](363) +[PDF](1180.84KB)
Hartman and Nirenberg type results for systems of delay differential equations under $ (\omega,Q) $-periodic conditions
Pablo Amster, Alberto Déboli and Manuel Pinto
2021doi: 10.3934/dcdsb.2021171 +[Abstract](489) +[HTML](275) +[PDF](351.07KB)
Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes
Shangbing Ai, Jia Li, Jianshe Yu and Bo Zheng
2021doi: 10.3934/dcdsb.2021172 +[Abstract](561) +[HTML](282) +[PDF](1108.77KB)
Qualitative analysis of a diffusive SEIR epidemic model with linear external source and asymptomatic infection in heterogeneous environment
Xuan Tian, Shangjiang Guo and Zhisu Liu
2021doi: 10.3934/dcdsb.2021173 +[Abstract](453) +[HTML](313) +[PDF](461.0KB)
Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection
Chengxia Lei and Xinhui Zhou
2021doi: 10.3934/dcdsb.2021174 +[Abstract](443) +[HTML](282) +[PDF](455.12KB)
Strong attractors and their robustness for an extensible beam model with energy damping
Yue Sun and Zhijian Yang
2021doi: 10.3934/dcdsb.2021175 +[Abstract](488) +[HTML](297) +[PDF](614.83KB)
On the Cauchy-Born approximation at finite temperature for alloys
Shuyang Dai, Fengru Wang, Jerry Zhijian Yang and Cheng Yuan
2021doi: 10.3934/dcdsb.2021176 +[Abstract](493) +[HTML](252) +[PDF](656.45KB)
Dynamical behavior of a stochastic predator-prey model with general functional response and nonlinear jump-diffusion
Xinhong Zhang and Qing Yang
2021doi: 10.3934/dcdsb.2021177 +[Abstract](508) +[HTML](299) +[PDF](605.75KB)
Dynamics of a stochastic HIV/AIDS model with treatment under regime switching
Miaomiao Gao, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad
2021doi: 10.3934/dcdsb.2021181 +[Abstract](454) +[HTML](267) +[PDF](975.2KB)
Null controllability for a class of stochastic singular parabolic equations with the convection term
Lin Yan and Bin Wu
2021doi: 10.3934/dcdsb.2021182 +[Abstract](446) +[HTML](267) +[PDF](431.52KB)
Propagation dynamics in a diffusive SIQR model for childhood diseases
Shuo Zhang and Guo Lin
2021doi: 10.3934/dcdsb.2021183 +[Abstract](424) +[HTML](238) +[PDF](896.73KB)
On a mathematical model of tumor-immune system interactions with an oncolytic virus therapy
Sophia R-J Jang and Hsiu-Chuan Wei
2021doi: 10.3934/dcdsb.2021184 +[Abstract](536) +[HTML](472) +[PDF](2025.58KB)
Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem
Maicon Sônego and Arnaldo Simal do Nascimento
2021doi: 10.3934/dcdsb.2021185 +[Abstract](483) +[HTML](277) +[PDF](328.82KB)
Asymptotic behavior for the solutions to a bistable-bistable reaction diffusion equation
Pengchao Lai and Qi Li
2021doi: 10.3934/dcdsb.2021186 +[Abstract](431) +[HTML](257) +[PDF](374.37KB)
Optimal spiral-like solutions near a singular extremal in a two-input control problem
Larisa Manita and Mariya Ronzhina
2021doi: 10.3934/dcdsb.2021187 +[Abstract](550) +[HTML](316) +[PDF](419.37KB)
Matrix measures, stability and contraction theory for dynamical systems on time scales
Giovanni Russo and Fabian Wirth
2021doi: 10.3934/dcdsb.2021188 +[Abstract](695) +[HTML](431) +[PDF](897.81KB)
Stability and dynamic transition of vegetation model for flat arid terrains
Lan Jia and Liang Li
2021doi: 10.3934/dcdsb.2021189 +[Abstract](465) +[HTML](320) +[PDF](1118.93KB)
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
Roberto de A. Capistrano–Filho, Márcio Cavalcante and Fernando A. Gallego
2021doi: 10.3934/dcdsb.2021190 +[Abstract](520) +[HTML](339) +[PDF](536.47KB)
Simplification of weakly nonlinear systems and analysis of cardiac activity using them
Irada Dzhalladova and Miroslava Růžičková
2021doi: 10.3934/dcdsb.2021191 +[Abstract](566) +[HTML](363) +[PDF](628.35KB)
A computational modular approach to evaluate $ {\mathrm{NO_{x}}} $ emissions and ozone production due to vehicular traffic
Caterina Balzotti, Maya Briani, Barbara De Filippo and Benedetto Piccoli
2021doi: 10.3934/dcdsb.2021192 +[Abstract](408) +[HTML](341) +[PDF](4433.46KB)
A quasilinear parabolic-parabolic chemotaxis model with logistic source and singular sensitivity
Jie Zhao
2021doi: 10.3934/dcdsb.2021193 +[Abstract](441) +[HTML](423) +[PDF](438.0KB)
Invasive speed for a competition-diffusion system with three species
Chaohong Pan, Hongyong Wang and Chunhua Ou
2021doi: 10.3934/dcdsb.2021194 +[Abstract](546) +[HTML](297) +[PDF](385.2KB)
Global dynamics and bifurcations in a SIRS epidemic model with a nonmonotone incidence rate and a piecewise-smooth treatment rate
Qin Pan, Jicai Huang and Qihua Huang
2021doi: 10.3934/dcdsb.2021195 +[Abstract](521) +[HTML](236) +[PDF](2114.27KB)
Existence and continuity of global attractors for ternary mixtures of solids
Mirelson M. Freitas, Anderson J. A. Ramos, Baowei Feng, Mauro L. Santos and Helen C. M. Rodrigues
2021doi: 10.3934/dcdsb.2021196 +[Abstract](433) +[HTML](250) +[PDF](519.34KB)
Practical partial stability of time-varying systems
Abdelfettah Hamzaoui, Nizar Hadj Taieb and Mohamed Ali Hammami
2021doi: 10.3934/dcdsb.2021197 +[Abstract](472) +[HTML](219) +[PDF](442.44KB)
Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations
Jun Zhou and Jun Shen
2021doi: 10.3934/dcdsb.2021198 +[Abstract](401) +[HTML](218) +[PDF](468.76KB)
Positive solutions of a diffusive two competitive species model with saturation
Aung Zaw Myint
2021doi: 10.3934/dcdsb.2021199 +[Abstract](523) +[HTML](217) +[PDF](574.98KB)
Effects of fear and anti-predator response in a discrete system with delay
Ritwick Banerjee, Pritha Das and Debasis Mukherjee
2021doi: 10.3934/dcdsb.2021200 +[Abstract](483) +[HTML](252) +[PDF](997.69KB)
The truncated Milstein method for super-linear stochastic differential equations with Markovian switching
Weijun Zhan, Qian Guo and Yuhao Cong
2021doi: 10.3934/dcdsb.2021201 +[Abstract](393) +[HTML](225) +[PDF](376.43KB)
Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations
Daifeng Duan, Ben Niu and Junjie Wei
2021doi: 10.3934/dcdsb.2021202 +[Abstract](412) +[HTML](228) +[PDF](3488.64KB)
Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives
Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach and Larisa Yaroslavtseva
2021doi: 10.3934/dcdsb.2021203 +[Abstract](348) +[HTML](292) +[PDF](339.66KB)
Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise
Tian Zhang and Chuanhou Gao
2021doi: 10.3934/dcdsb.2021204 +[Abstract](643) +[HTML](271) +[PDF](911.48KB)
Well-posedness of the initial-boundary value problem for the fourth-order nonlinear Schrödinger equation
Boling Guo and Jun Wu
2021doi: 10.3934/dcdsb.2021205 +[Abstract](469) +[HTML](267) +[PDF](460.53KB)
Predator-prey interactions under fear effect and multiple foraging strategies
Susmita Halder, Joydeb Bhattacharyya and Samares Pal
2021doi: 10.3934/dcdsb.2021206 +[Abstract](485) +[HTML](277) +[PDF](3439.06KB)
Stabilization for hybrid stochastic differential equations driven by Lévy noise via periodically intermittent control
Yong Ren and Qi Zhang
2021doi: 10.3934/dcdsb.2021207 +[Abstract](393) +[HTML](254) +[PDF](520.74KB)
An analysis approach to permanence of a delay differential equations model of microorganism flocculation
Songbai Guo, Jing-An Cui and Wanbiao Ma
2021doi: 10.3934/dcdsb.2021208 +[Abstract](530) +[HTML](249) +[PDF](303.15KB)
On oscillations to a 2D age-dependent predation equations characterizing Beddington-DeAngelis type schemes
Peng Yang and Yuanshi Wang
2021doi: 10.3934/dcdsb.2021209 +[Abstract](363) +[HTML](193) +[PDF](951.74KB)
On an upper bound for the spreading speed
Mohammed Mesk and Ali Moussaoui
2021doi: 10.3934/dcdsb.2021210 +[Abstract](682) +[HTML](214) +[PDF](483.48KB)
Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
Willian Cintra, Carlos Alberto dos Santos and Jiazheng Zhou
2021doi: 10.3934/dcdsb.2021211 +[Abstract](409) +[HTML](223) +[PDF](371.24KB)
Uniform attractors for nonautonomous reaction-diffusion equations with the nonlinearity in a larger symbol space
Xiangming Zhu and Chengkui Zhong
2021doi: 10.3934/dcdsb.2021212 +[Abstract](387) +[HTML](195) +[PDF](339.61KB)
Optimization of a control law to synchronize first-order dynamical systems on Riemannian manifolds by a transverse component
Adolfo Damiano Cafaro and Simone Fiori
2021doi: 10.3934/dcdsb.2021213 +[Abstract](410) +[HTML](209) +[PDF](1743.26KB)
Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity
Guofa Li and Yisheng Huang
2021doi: 10.3934/dcdsb.2021214 +[Abstract](442) +[HTML](198) +[PDF](381.2KB)
Isochronicity of bi-centers for symmetric quartic differential systems
Wilker Fernandes, Viviane Pardini Valério and Patricia Tempesta
2021doi: 10.3934/dcdsb.2021215 +[Abstract](337) +[HTML](178) +[PDF](443.8KB)
Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production
Jianing Xie
2021doi: 10.3934/dcdsb.2021216 +[Abstract](325) +[HTML](197) +[PDF](461.88KB)
Chaotic switching in driven-dissipative Bose-Hubbard dimers: When a flip bifurcation meets a T-point in $ \mathbb{R}^4 $
Andrus Giraldo, Neil G. R. Broderick and Bernd Krauskopf
2021doi: 10.3934/dcdsb.2021217 +[Abstract](394) +[HTML](197) +[PDF](15096.57KB)
Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model
Yu Ma, Chunlai Mu and Shuyan Qiu
2021doi: 10.3934/dcdsb.2021218 +[Abstract](339) +[HTML](310) +[PDF](473.67KB)
The impact of time delay and angiogenesis in a tumor model
Zejia Wang, Haihua Zhou and Huijuan Song
2021doi: 10.3934/dcdsb.2021219 +[Abstract](330) +[HTML](178) +[PDF](537.46KB)
Galerkin spectral method for elliptic optimal control problem with $L^2$-norm control constraint
Zhen-Zhen Tao and Bing Sun
2021doi: 10.3934/dcdsb.2021220 +[Abstract](389) +[HTML](188) +[PDF](795.36KB)
Continuous dependence of the Cauchy problem for the inhomogeneous nonlinear Schrödinger equation in $H^{s} (\mathbb R^{n})$
JinMyong An, JinMyong Kim and KyuSong Chae
2021doi: 10.3934/dcdsb.2021221 +[Abstract](319) +[HTML](185) +[PDF](664.22KB)
Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system
Juntang Ding and Chenyu Dong
2021doi: 10.3934/dcdsb.2021222 +[Abstract](330) +[HTML](169) +[PDF](349.75KB)
Asymptotic behavior of supercritical wave equations driven by colored noise on unbounded domains
Bixiang Wang
2021doi: 10.3934/dcdsb.2021223 +[Abstract](330) +[HTML](179) +[PDF](701.63KB)
Stochastic fractional integro-differential equations with weakly singular kernels: Well-posedness and Euler–Maruyama approximation
Xinjie Dai, Aiguo Xiao and Weiping Bu
2021doi: 10.3934/dcdsb.2021225 +[Abstract](448) +[HTML](303) +[PDF](383.94KB)
Boundary layer solutions to singularly perturbed quasilinear systems
Valentin Butuzov, Nikolay Nefedov, Oleh Omel'chenko and Lutz Recke
2021doi: 10.3934/dcdsb.2021226 +[Abstract](358) +[HTML](216) +[PDF](465.02KB)
Asymptotic (statistical) periodicity in two-dimensional maps
Fumihiko Nakamura and Michael C. Mackey
2021doi: 10.3934/dcdsb.2021227 +[Abstract](300) +[HTML](161) +[PDF](1994.02KB)
Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4
Jaume Llibre and Yuzhou Tian
2021doi: 10.3934/dcdsb.2021228 +[Abstract](313) +[HTML](220) +[PDF](331.55KB)
Global weak solutions to the generalized mCH equation via characteristics
Fanqin Zeng, Yu Gao and Xiaoping Xue
2021doi: 10.3934/dcdsb.2021229 +[Abstract](306) +[HTML](164) +[PDF](319.46KB)
Exponential stability of axially moving Kirchhoff-beam systems with nonlinear boundary damping and disturbance
Yi Cheng, Zhihui Dong and Donal O' Regan
2021doi: 10.3934/dcdsb.2021230 +[Abstract](321) +[HTML](191) +[PDF](342.67KB)
Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system
Zhendong Fang and Hao Wang
2021doi: 10.3934/dcdsb.2021231 +[Abstract](328) +[HTML](169) +[PDF](535.93KB)
High order one-step methods for backward stochastic differential equations via Itô-Taylor expansion
Quan Zhou and Yabing Sun
2021doi: 10.3934/dcdsb.2021233 +[Abstract](350) +[HTML](160) +[PDF](2064.87KB)
Vortex Condensation in General U(1)×U(1) Abelian Chern-Simons Model on a flat torus
Hsin-Yuan Huang
2021doi: 10.3934/dcdsb.2021234 +[Abstract](257) +[HTML](145) +[PDF](389.58KB)
A mathematical model for biodiversity diluting transmission of zika virus through competition mechanics
Zongmin Yue and Fauzi Mohamed Yusof
2021doi: 10.3934/dcdsb.2021235 +[Abstract](329) +[HTML](151) +[PDF](845.49KB)
Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions
Yu Guo, Xiao-Bao Shu and Qianbao Yin
2021doi: 10.3934/dcdsb.2021236 +[Abstract](350) +[HTML](160) +[PDF](363.64KB)
Dynamics and pattern formation in a cross-diffusion model with stage structure for predators
Hongfei Xu, Jinfeng Wang and Xuelian Xu
2021doi: 10.3934/dcdsb.2021237 +[Abstract](373) +[HTML](151) +[PDF](771.39KB)
Modeling the effect of activation of CD4$^+$ T cells on HIV dynamics
Linghui Yu, Zhipeng Qiu and Ting Guo
2021doi: 10.3934/dcdsb.2021238 +[Abstract](300) +[HTML](161) +[PDF](1930.91KB)
Threshold dynamics of a West Nile virus model with impulsive culling and incubation period
Yaxin Han and Zhenguo Bai
2021doi: 10.3934/dcdsb.2021239 +[Abstract](330) +[HTML](201) +[PDF](1981.75KB)
Large time behavior in a predator-prey system with pursuit-evasion interaction
Dayong Qi and Yuanyuan Ke
2021doi: 10.3934/dcdsb.2021240 +[Abstract](283) +[HTML](144) +[PDF](429.83KB)
Bistable and oscillatory dynamics of Nicholson's blowflies equation with Allee effect
Xiaoyuan Chang and Junping Shi
2021doi: 10.3934/dcdsb.2021242 +[Abstract](234) +[HTML](114) +[PDF](1685.44KB)
Integrability and bifurcation of a three-dimensional circuit differential system
Brigita Ferčec, Valery G. Romanovski, Yilei Tang and Ling Zhang
2021doi: 10.3934/dcdsb.2021243 +[Abstract](270) +[HTML](101) +[PDF](2299.02KB)
Crop - Weed interactive dynamics in the presence of herbicides: Mathematical modeling and analysis
Abhinav Tandon
2021doi: 10.3934/dcdsb.2021244 +[Abstract](227) +[HTML](106) +[PDF](1235.16KB)
Maximum principle for the optimal harvesting problem of a size-stage-structured population model
Miaomiao Chen and Rong Yuan
2021doi: 10.3934/dcdsb.2021245 +[Abstract](232) +[HTML](96) +[PDF](1296.34KB)
Second-order stabilized semi-implicit energy stable schemes for bubble assemblies in binary and ternary systems
Hyunjung Choi and Yanxiang Zhao
2021doi: 10.3934/dcdsb.2021246 +[Abstract](201) +[HTML](173) +[PDF](1314.33KB)
The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier
Huijing Sun and Hongjun Cao
2021doi: 10.3934/dcdsb.2021247 +[Abstract](218) +[HTML](112) +[PDF](1980.83KB)
Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays
Yongkun Li and Bing Li
2021doi: 10.3934/dcdsb.2021248 +[Abstract](252) +[HTML](118) +[PDF](389.36KB)
Weak convergence of delay SDEs with applications to Carathéodory approximation
Ta Cong Son, Nguyen Tien Dung, Nguyen Van Tan, Tran Manh Cuong, Hoang Thi Phuong Thao and Pham Dinh Tung
2021doi: 10.3934/dcdsb.2021249 +[Abstract](303) +[HTML](134) +[PDF](414.87KB)
Reaction-advection-diffusion competition models under lethal boundary conditions
Kwangjoong Kim, Wonhyung Choi and Inkyung Ahn
2021doi: 10.3934/dcdsb.2021250 +[Abstract](213) +[HTML](137) +[PDF](716.79KB)
Trajectory statistical solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines
Bo You
2021doi: 10.3934/dcdsb.2021251 +[Abstract](207) +[HTML](128) +[PDF](379.7KB)
Dynamics of a Leslie-Gower predator-prey system with hunting cooperation and prey harvesting
Yong Yao and Lingling Liu
2021doi: 10.3934/dcdsb.2021252 +[Abstract](268) +[HTML](124) +[PDF](955.38KB)
The existence of time-dependent attractor for wave equation with fractional damping and lower regular forcing term
Xudong Luo and Qiaozhen Ma
2021doi: 10.3934/dcdsb.2021253 +[Abstract](288) +[HTML](131) +[PDF](405.57KB)
Fractional $ 1 $-Laplacian evolution equations to remove multiplicative noise
Tianling Gao, Qiang Liu and Zhiguang Zhang
2021doi: 10.3934/dcdsb.2021254 +[Abstract](224) +[HTML](108) +[PDF](1169.26KB)
Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction
Chao Liu and Bin Liu
2021doi: 10.3934/dcdsb.2021255 +[Abstract](233) +[HTML](111) +[PDF](631.67KB)
More traveling waves in the Holling-Tanner model with weak diffusion
Vahagn Manukian and Stephen Schecter
2021doi: 10.3934/dcdsb.2021256 +[Abstract](198) +[HTML](94) +[PDF](1008.91KB)
Global existence of weak solutions to inhomogeneous Doi-Onsager equations
Wenji Chen and Jianfeng Zhou
2021doi: 10.3934/dcdsb.2021257 +[Abstract](198) +[HTML](95) +[PDF](438.33KB)
Robust uniform persistence for structured models of delay differential equations
Paul L. Salceanu
2021doi: 10.3934/dcdsb.2021258 +[Abstract](219) +[HTML](99) +[PDF](307.19KB)
Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation
Wei-Kang Xun, Shou-Fu Tian and Tian-Tian Zhang
2021doi: 10.3934/dcdsb.2021259 +[Abstract](209) +[HTML](101) +[PDF](1296.51KB)
Threshold dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey system
Baifeng Zhang, Guohong Zhang and Xiaoli Wang
2021doi: 10.3934/dcdsb.2021260 +[Abstract](217) +[HTML](84) +[PDF](1143.84KB)
Attractors for a class of perturbed nonclassical diffusion equations with memory
Jianbo Yuan, Shixuan Zhang, Yongqin Xie and Jiangwei Zhang
2021doi: 10.3934/dcdsb.2021261 +[Abstract](192) +[HTML](103) +[PDF](339.7KB)
Threshold of a stochastic SIQS epidemic model with isolation
Nguyen Thanh Dieu, Vu Hai Sam and Nguyen Huu Du
2021doi: 10.3934/dcdsb.2021262 +[Abstract](280) +[HTML](109) +[PDF](2981.65KB)
Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo
Zhouchao Wei, Fanrui Wang, Huijuan Li and Wei Zhang
2021doi: 10.3934/dcdsb.2021263 +[Abstract](229) +[HTML](107) +[PDF](1885.69KB)
Bifurcation of the critical crossing cycle in a planar piecewise smooth system with two zones
Fang Wu, Lihong Huang and Jiafu Wang
2021doi: 10.3934/dcdsb.2021264 +[Abstract](233) +[HTML](128) +[PDF](3595.26KB)
The minimal wave speed of the Lotka-Volterra competition model with seasonal succession
Wentao Meng, Yuanxi Yue and Manjun Ma
2021doi: 10.3934/dcdsb.2021265 +[Abstract](209) +[HTML](113) +[PDF](407.6KB)
Recent developments on spatial propagation for diffusion equations in shifting environments
Jia-Bing Wang, Wan-Tong Li, Fang-Di Dong and Shao-Xia Qiao
2021doi: 10.3934/dcdsb.2021266 +[Abstract](244) +[HTML](138) +[PDF](416.61KB)
Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on $ \mathbb{R}^n $
Pengyu Chen, Bixiang Wang and Xuping Zhang
2021doi: 10.3934/dcdsb.2021267 +[Abstract](195) +[HTML](119) +[PDF](501.83KB)
Analysis of a model of the Calvin cycle with diffusion of ATP
Burcu Gürbüz and Alan D. Rendall
2021doi: 10.3934/dcdsb.2021268 +[Abstract](253) +[HTML](87) +[PDF](429.63KB)
Erratum: Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
Mingxin Wang
2021doi: 10.3934/dcdsb.2021269 +[Abstract](319) +[HTML](76) +[PDF](236.16KB)
On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations
Yat Tin Chow and Ali Pakzad
2021doi: 10.3934/dcdsb.2021270 +[Abstract](204) +[HTML](65) +[PDF](502.1KB)
Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise
Yiju Chen and Xiaohu Wang
2021doi: 10.3934/dcdsb.2021271 +[Abstract](154) +[HTML](71) +[PDF](521.83KB)
Existence and approximation of attractors for nonlinear coupled lattice wave equations
Lianbing She, Mirelson M. Freitas, Mauricio S. Vinhote and Renhai Wang
2021doi: 10.3934/dcdsb.2021272 +[Abstract](199) +[HTML](92) +[PDF](573.07KB)
Global generalized solutions to the forager-exploiter model with logistic growth
Qian Zhao and Bin Liu
2021doi: 10.3934/dcdsb.2021273 +[Abstract](159) +[HTML](101) +[PDF](511.22KB)
Stability and applications of multi-order fractional systems
Javier Gallegos
2021doi: 10.3934/dcdsb.2021274 +[Abstract](153) +[HTML](69) +[PDF](192.15KB)
Tempered fractional order compartment models and applications in biology
Yejuan Wang, Lijuan Zhang and Yuan Yuan
2021doi: 10.3934/dcdsb.2021275 +[Abstract](170) +[HTML](100) +[PDF](1110.64KB)
Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems
Radosław Czaja
2021doi: 10.3934/dcdsb.2021276 +[Abstract](179) +[HTML](61) +[PDF](471.02KB)
Dynamic transitions for the S-K-T competition system
Ruikuan Liu and Dongpei Zhang
2021doi: 10.3934/dcdsb.2021277 +[Abstract](172) +[HTML](71) +[PDF](413.58KB)
A delayed dynamical model for COVID-19 therapy with defective interfering particles and artificial antibodies
Yanfei Zhao and Yepeng Xing
2021doi: 10.3934/dcdsb.2021278 +[Abstract](189) +[HTML](72) +[PDF](752.91KB)
Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system
Peng Chen, Linfeng Mei and Xianhua Tang
2021doi: 10.3934/dcdsb.2021279 +[Abstract](179) +[HTML](63) +[PDF](389.93KB)
Exponential decay for quasilinear parabolic equations in any dimension
Jian-Wen Sun and Seonghak Kim
2021doi: 10.3934/dcdsb.2021280 +[Abstract](180) +[HTML](60) +[PDF](259.38KB)
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