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Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.


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Preface: Recent advances in bifurcation theory and application
Jingli Ren and Gail S. K. Wolkowicz
2020, 13(11) : i-ii doi: 10.3934/dcdss.2020417 +[Abstract](129) +[HTML](43) +[PDF](91.57KB)
Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator
Dingyong Bai, Jianshe Yu and Yun Kang
2020, 13(11) : 2949-2973 doi: 10.3934/dcdss.2020132 +[Abstract](726) +[HTML](313) +[PDF](1203.75KB)
A nutrient-prey-predator model: Stability and bifurcations
Mary Ballyk, Ross Staffeldt and Ibrahim Jawarneh
2020, 13(11) : 2975-3004 doi: 10.3934/dcdss.2020192 +[Abstract](595) +[HTML](267) +[PDF](778.71KB)
Stability analysis of an equation with two delays and application to the production of platelets
Loïs Boullu, Laurent Pujo-Menjouet and Jacques Bélair
2020, 13(11) : 3005-3027 doi: 10.3934/dcdss.2020131 +[Abstract](632) +[HTML](328) +[PDF](1069.93KB)
Dynamical stabilization and traveling waves in integrodifference equations
Adèle Bourgeois, Victor LeBlanc and Frithjof Lutscher
2020, 13(11) : 3029-3045 doi: 10.3934/dcdss.2020117 +[Abstract](630) +[HTML](343) +[PDF](1253.04KB)
Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes
Guowei Dai, Alfonso Romero and Pedro J. Torres
2020, 13(11) : 3047-3071 doi: 10.3934/dcdss.2020118 +[Abstract](588) +[HTML](306) +[PDF](470.44KB)
Bifurcation and stability analysis for a nutrient-phytoplankton model with toxic effects
Juping Ji and Lin Wang
2020, 13(11) : 3073-3081 doi: 10.3934/dcdss.2020135 +[Abstract](547) +[HTML](304) +[PDF](777.16KB)
Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity
Jibin Li and Yan Zhou
2020, 13(11) : 3083-3097 doi: 10.3934/dcdss.2020113 +[Abstract](718) +[HTML](391) +[PDF](1161.57KB)
Global analysis of SIRI knowledge dissemination model with recalling rate
Fang Liu, Zhen Jin and Cai-Yun Wang
2020, 13(11) : 3099-3114 doi: 10.3934/dcdss.2020116 +[Abstract](575) +[HTML](313) +[PDF](2915.0KB)
Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory
Shanshan Liu and Maoan Han
2020, 13(11) : 3115-3124 doi: 10.3934/dcdss.2020133 +[Abstract](599) +[HTML](323) +[PDF](329.21KB)
Bogdanov-Takens bifurcation in a SIRS epidemic model with a generalized nonmonotone incidence rate
Min Lu, Chuang Xiang and Jicai Huang
2020, 13(11) : 3125-3138 doi: 10.3934/dcdss.2020115 +[Abstract](621) +[HTML](332) +[PDF](680.26KB)
Dirichlet problem for a diffusive logistic population model with two delays
Xuejun Pan, Hongying Shu and Yuming Chen
2020, 13(11) : 3139-3155 doi: 10.3934/dcdss.2020134 +[Abstract](517) +[HTML](309) +[PDF](482.35KB)
Pest control by generalist parasitoids: A bifurcation theory approach
Gunog Seo and Gail S. K. Wolkowicz
2020, 13(11) : 3157-3187 doi: 10.3934/dcdss.2020163 +[Abstract](674) +[HTML](404) +[PDF](801.99KB)
Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation
Yixia Shi and Maoan Han
2020, 13(11) : 3189-3204 doi: 10.3934/dcdss.2020114 +[Abstract](653) +[HTML](333) +[PDF](382.29KB)
Rich dynamics in some generalized difference equations
Xiujuan Wang and Mingshu Peng
2020, 13(11) : 3205-3212 doi: 10.3934/dcdss.2020191 +[Abstract](499) +[HTML](268) +[PDF](4911.4KB)
Bifurcations in a pollination-mutualism system with nectarless flowers
Hong Wu, Shan Sun and Yuanshi Wang
2020, 13(11) : 3213-3229 doi: 10.3934/dcdss.2020162 +[Abstract](547) +[HTML](317) +[PDF](364.92KB)
How interest rate influences a business cycle model
Qigang Yuan, Yutong Sun and Jingli Ren
2020, 13(11) : 3231-3251 doi: 10.3934/dcdss.2020190 +[Abstract](571) +[HTML](290) +[PDF](2469.15KB)
Bogdanov-Takens bifurcation in predator-prey systems
Bing Zeng, Shengfu Deng and Pei Yu
2020, 13(11) : 3253-3269 doi: 10.3934/dcdss.2020130 +[Abstract](927) +[HTML](311) +[PDF](350.67KB)
Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system
Hongyong Zhao and Daiyong Wu
2020, 13(11) : 3271-3284 doi: 10.3934/dcdss.2020129 +[Abstract](670) +[HTML](294) +[PDF](319.04KB)
Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
George A. Anastassiou
2019doi: 10.3934/dcdss.2020111 +[Abstract](528) +[HTML](310) +[PDF](268.45KB)
A Zaremba-type criterion for hypoelliptic degenerate Ornstein–Uhlenbeck operators
Alessia E. Kogoj
2019doi: 10.3934/dcdss.2020112 +[Abstract](498) +[HTML](311) +[PDF](238.58KB)
Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball
Alfonso Castro and Shu-Zhi Song
2019doi: 10.3934/dcdss.2020127 +[Abstract](507) +[HTML](278) +[PDF](321.35KB)
Operators of order 2$ n $ with interior degeneracy
Genni Fragnelli, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2019doi: 10.3934/dcdss.2020128 +[Abstract](511) +[HTML](280) +[PDF](321.59KB)
Mathematical model of diabetes and its complication involving fractional operator without singular kernal
Ravi Shanker Dubey and Pranay Goswami
2019doi: 10.3934/dcdss.2020144 +[Abstract](783) +[HTML](449) +[PDF](558.45KB)
Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients
Jacek Banasiak
2019doi: 10.3934/dcdss.2020161 +[Abstract](440) +[HTML](266) +[PDF](290.54KB)
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators
Raziye Mert, Thabet Abdeljawad and Allan Peterson
2019doi: 10.3934/dcdss.2020171 +[Abstract](601) +[HTML](332) +[PDF](392.67KB)
A novel model for the contamination of a system of three artificial lakes
Veysel Fuat Hatipoğlu
2019doi: 10.3934/dcdss.2020176 +[Abstract](511) +[HTML](268) +[PDF](3352.88KB)
Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials
Pierluigi Colli, Gianni Gilardi and Jürgen Sprekels
2019doi: 10.3934/dcdss.2020213 +[Abstract](589) +[HTML](274) +[PDF](459.68KB)
Convergence analysis of the discrete duality finite volume scheme for the regularised Heston model
Matúš Tibenský and Angela Handlovičová
2019doi: 10.3934/dcdss.2020226 +[Abstract](504) +[HTML](263) +[PDF](415.52KB)
Comparison of modern heuristics on solving the phase stability testing problem
Tomáš Smejkal, Jiří Mikyška and Jaromír Kukal
2019doi: 10.3934/dcdss.2020227 +[Abstract](490) +[HTML](295) +[PDF](8678.87KB)
Spatio-temporal coexistence in the cross-diffusion competition system
Hirofumi Izuhara and Shunsuke Kobayashi
2019doi: 10.3934/dcdss.2020228 +[Abstract](604) +[HTML](260) +[PDF](384.38KB)
Reflection of a self-propelling rigid disk from a boundary
Shin-Ichiro Ei, Masayasu Mimura and Tomoyuki Miyaji
2019doi: 10.3934/dcdss.2020229 +[Abstract](480) +[HTML](262) +[PDF](1085.73KB)
Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition
Md. Masum Murshed, Kouta Futai, Masato Kimura and Hirofumi Notsu
2019doi: 10.3934/dcdss.2020230 +[Abstract](972) +[HTML](305) +[PDF](5720.95KB)
Semi-automatic segmentation of NATURA 2000 habitats in Sentinel-2 satellite images by evolving open curves
Karol Mikula, Jozef Urbán, Michal Kollár, Martin Ambroz, Ivan Jarolímek, Jozef Šibík and Mária Šibíková
2019doi: 10.3934/dcdss.2020231 +[Abstract](1051) +[HTML](292) +[PDF](4473.02KB)
Numerical simulation of fluidization for application in oxyfuel combustion
Michal Beneš, Pavel Eichler, Jakub Klinkovský, Miroslav Kolář, Jakub Solovský, Pavel Strachota and Alexandr Žák
2019doi: 10.3934/dcdss.2020232 +[Abstract](472) +[HTML](267) +[PDF](758.92KB)
A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment's movies
Maika Goto, Kazunori Kuwana, Yasuhide Uegata and Shigetoshi Yazaki
2019doi: 10.3934/dcdss.2020233 +[Abstract](561) +[HTML](301) +[PDF](2283.97KB)
Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media
Imam Wijaya and Hirofumi Notsu
2019doi: 10.3934/dcdss.2020234 +[Abstract](599) +[HTML](263) +[PDF](1848.1KB)
The inverse volatility problem for American options
Ian Knowles and Ajay Mahato
2020doi: 10.3934/dcdss.2020235 +[Abstract](442) +[HTML](249) +[PDF](929.76KB)
A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation
Giuseppe Maria Coclite and Lorenzo di Ruvo
2020doi: 10.3934/dcdss.2020236 +[Abstract](442) +[HTML](255) +[PDF](386.04KB)
Modeling epidemic outbreaks in geographical regions: Seasonal influenza in Puerto Rico
Pierre Magal, Ahmed Noussair, Glenn Webb and Yixiang Wu
2020doi: 10.3934/dcdss.2020237 +[Abstract](434) +[HTML](277) +[PDF](3963.5KB)
On subdiagonal rational Padé approximations and the Brenner-Thomée approximation theorem for operator semigroups
Frank Neubrander, Koray Özer and Lee Windsperger
2020doi: 10.3934/dcdss.2020238 +[Abstract](392) +[HTML](233) +[PDF](340.15KB)
On hyperbolic mixed problems with dynamic and Wentzell boundary conditions
Davide Guidetti
2020doi: 10.3934/dcdss.2020239 +[Abstract](402) +[HTML](249) +[PDF](325.18KB)
Fractional Cauchy problems for infinite interval case
Mohammed Al Horani, Mauro Fabrizio, Angelo Favini and Hiroki Tanabe
2020doi: 10.3934/dcdss.2020240 +[Abstract](379) +[HTML](248) +[PDF](362.15KB)
Existence of minimizers for some quasilinear elliptic problems
Anna Maria Candela and Addolorata Salvatore
2020doi: 10.3934/dcdss.2020241 +[Abstract](399) +[HTML](237) +[PDF](336.23KB)
The surface diffusion and the Willmore flow for uniformly regular hypersurfaces
Jeremy LeCrone, Yuanzhen Shao and Gieri Simonett
2020doi: 10.3934/dcdss.2020242 +[Abstract](443) +[HTML](235) +[PDF](479.93KB)
On absence of threshold resonances for Schrödinger and Dirac operators
Fritz Gesztesy and Roger Nichols
2020doi: 10.3934/dcdss.2020243 +[Abstract](431) +[HTML](257) +[PDF](486.76KB)
Spectra of structured diffusive population equations with generalized Wentzell-Robin boundary conditions and related topics
Mustapha Mokhtar-Kharroubi
2020doi: 10.3934/dcdss.2020244 +[Abstract](366) +[HTML](255) +[PDF](343.16KB)
On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model
Nalin Fonseka, Ratnasingham Shivaji, Jerome Goddard, Ⅱ, Quinn A. Morris and Byungjae Son
2020doi: 10.3934/dcdss.2020245 +[Abstract](484) +[HTML](289) +[PDF](1634.53KB)
Feynman path formula for the time fractional Schrödinger equation
Hassan Emamirad and Arnaud Rougirel
2020doi: 10.3934/dcdss.2020246 +[Abstract](389) +[HTML](245) +[PDF](458.92KB)
Large data solutions for semilinear higher order equations
Sandra Lucente
2020doi: 10.3934/dcdss.2020247 +[Abstract](405) +[HTML](234) +[PDF](307.18KB)
A quantitative Hopf-type maximum principle for subsolutions of elliptic PDEs
Tomasz Komorowski and Adam Bobrowski
2020doi: 10.3934/dcdss.2020248 +[Abstract](449) +[HTML](247) +[PDF](349.51KB)
Melnikov analysis of the nonlocal nanobeam resting on fractional-order softening nonlinear viscoelastic foundations
Guy Joseph Eyebe, Betchewe Gambo, Alidou Mohamadou and Timoleon Crepin Kofane
2020doi: 10.3934/dcdss.2020252 +[Abstract](453) +[HTML](241) +[PDF](733.98KB)
Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting
Ming Liu, Dongpo Hu and Fanwei Meng
2020doi: 10.3934/dcdss.2020259 +[Abstract](477) +[HTML](245) +[PDF](1720.53KB)
Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations
Jinsen Zhuang, Yan Zhou and Yonghui Xia
2020doi: 10.3934/dcdss.2020279 +[Abstract](415) +[HTML](230) +[PDF](515.12KB)
Input-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economy
Ruofeng Rao and Shouming Zhong
2020doi: 10.3934/dcdss.2020280 +[Abstract](518) +[HTML](228) +[PDF](399.6KB)
Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in $ \mathbb R^N $$ ^\diamondsuit $
Ziqing Yuan and Jianshe Yu
2020doi: 10.3934/dcdss.2020281 +[Abstract](378) +[HTML](188) +[PDF](423.16KB)
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation
Masoumeh Hosseininia, Mohammad Hossein Heydari and Carlo Cattani
2020doi: 10.3934/dcdss.2020295 +[Abstract](148) +[HTML](50) +[PDF](5361.2KB)
Optimal laminates in single-slip elastoplasticity
Sergio Conti and Georg Dolzmann
2020doi: 10.3934/dcdss.2020302 +[Abstract](383) +[HTML](236) +[PDF](407.27KB)
Cahn-Hilliard equation with capillarity in actual deforming configurations
Tomáš Roubíček
2020doi: 10.3934/dcdss.2020303 +[Abstract](359) +[HTML](193) +[PDF](349.92KB)
Rate-independent evolution of sets
Riccarda Rossi, Ulisse Stefanelli and Marita Thomas
2020doi: 10.3934/dcdss.2020304 +[Abstract](405) +[HTML](224) +[PDF](596.09KB)
The Spectrum of delay differential equations with multiple hierarchical large delays
Stefan Ruschel and Serhiy Yanchuk
2020doi: 10.3934/dcdss.2020321 +[Abstract](306) +[HTML](168) +[PDF](2700.2KB)
Numerical approximation of von Kármán viscoelastic plates
Manuel Friedrich, Martin Kružík and Jan Valdman
2020doi: 10.3934/dcdss.2020322 +[Abstract](335) +[HTML](171) +[PDF](2473.99KB)
Adaptive time stepping in elastoplasticity
Sören Bartels and Jakob Keck
2020doi: 10.3934/dcdss.2020323 +[Abstract](255) +[HTML](155) +[PDF](963.59KB)
Perturbed minimizing movements of families of functionals
Andrea Braides and Antonio Tribuzio
2020doi: 10.3934/dcdss.2020324 +[Abstract](287) +[HTML](147) +[PDF](381.33KB)
Existence of weak solutions for a sharp interface model for phase separation on biological membranes
Helmut Abels and Johannes Kampmann
2020doi: 10.3934/dcdss.2020325 +[Abstract](250) +[HTML](164) +[PDF](422.79KB)
Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system
Karoline Disser
2020doi: 10.3934/dcdss.2020326 +[Abstract](237) +[HTML](165) +[PDF](334.02KB)
Contraction and regularizing properties of heat flows in metric measure spaces
Giulia Luise and Giuseppe Savaré
2020doi: 10.3934/dcdss.2020327 +[Abstract](255) +[HTML](163) +[PDF](527.03KB)
Stochastic homogenization of $ \Lambda $-convex gradient flows
Martin Heida, Stefan Neukamm and Mario Varga
2020doi: 10.3934/dcdss.2020328 +[Abstract](282) +[HTML](175) +[PDF](427.1KB)
Threshold phenomenon for homogenized fronts in random elastic media
Patrick W. Dondl and Martin Jesenko
2020doi: 10.3934/dcdss.2020329 +[Abstract](273) +[HTML](156) +[PDF](398.81KB)
Viscoelasticity with limiting strain
Yasemin Şengül
2020doi: 10.3934/dcdss.2020330 +[Abstract](340) +[HTML](165) +[PDF](3255.1KB)
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
Martin Kalousek, Joshua Kortum and Anja Schlömerkemper
2020doi: 10.3934/dcdss.2020331 +[Abstract](237) +[HTML](145) +[PDF](387.7KB)
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
Dorothee Knees and Chiara Zanini
2020doi: 10.3934/dcdss.2020332 +[Abstract](241) +[HTML](158) +[PDF](426.44KB)
Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows
Tomáš Bodnár, Philippe Fraunié, Petr Knobloch and Hynek Řezníček
2020doi: 10.3934/dcdss.2020333 +[Abstract](236) +[HTML](170) +[PDF](8832.75KB)
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
Klemens Fellner, Jeff Morgan and Bao Quoc Tang
2020doi: 10.3934/dcdss.2020334 +[Abstract](267) +[HTML](156) +[PDF](344.6KB)
Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
Qigui Yang and Qiaomin Xiang
2020doi: 10.3934/dcdss.2020335 +[Abstract](274) +[HTML](172) +[PDF](891.24KB)
New results for oscillation of fractional partial differential equations with damping term
Liping Luo, Zhenguo Luo and Yunhui Zeng
2020doi: 10.3934/dcdss.2020336 +[Abstract](272) +[HTML](157) +[PDF](261.14KB)
On the number of limit cycles of a quartic polynomial system
Min Li and Maoan Han
2020doi: 10.3934/dcdss.2020337 +[Abstract](252) +[HTML](151) +[PDF](347.18KB)
Positive solutions of the discrete Robin problem with $ \phi $-Laplacian
Jiaoxiu Ling and Zhan Zhou
2020doi: 10.3934/dcdss.2020338 +[Abstract](274) +[HTML](153) +[PDF](293.23KB)
Existence criteria of ground state solutions for Schrödinger-Poisson systems with a vanishing potential
Sitong Chen, Wennian Huang and Xianhua Tang
2020doi: 10.3934/dcdss.2020339 +[Abstract](264) +[HTML](147) +[PDF](359.37KB)
Traveling waves in a nonlocal dispersal predator-prey model
Yu-Xia Hao, Wan-Tong Li and Fei-Ying Yang
2020doi: 10.3934/dcdss.2020340 +[Abstract](294) +[HTML](160) +[PDF](410.11KB)
Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term
Xiao Wu and Mingkang Ni
2020doi: 10.3934/dcdss.2020341 +[Abstract](334) +[HTML](153) +[PDF](759.5KB)
Higher order convergence for a class of set differential equations with initial conditions
Peiguang Wang, Xiran Wu and Huina Liu
2020doi: 10.3934/dcdss.2020342 +[Abstract](274) +[HTML](161) +[PDF](313.23KB)
Global Hopf bifurcation in networks with fast feedback cycles
Bernold Fiedler
2020doi: 10.3934/dcdss.2020344 +[Abstract](239) +[HTML](122) +[PDF](402.43KB)
Effective diffusion in thin structures via generalized gradient systems and EDP-convergence
Thomas Frenzel and Matthias Liero
2020doi: 10.3934/dcdss.2020345 +[Abstract](209) +[HTML](126) +[PDF](598.15KB)
Orthogonality of fluxes in general nonlinear reaction networks
D. R. Michiel Renger and Johannes Zimmer
2020doi: 10.3934/dcdss.2020346 +[Abstract](237) +[HTML](124) +[PDF](337.53KB)
A new numerical method for level set motion in normal direction used in optical flow estimation
Peter Frolkovič and Viera Kleinová
2020doi: 10.3934/dcdss.2020347 +[Abstract](203) +[HTML](115) +[PDF](2203.44KB)
An automated segmentation of NATURA 2000 habitats from Sentinel-2 optical data
Karol Mikula, Jozef Urbán, Michal Kollár, Martin Ambroz, Ivan Jarolímek, Jozef Šibík and Mária Šibíková
2020doi: 10.3934/dcdss.2020348 +[Abstract](296) +[HTML](122) +[PDF](3342.43KB)
Computational study of immersed boundary - lattice Boltzmann method for fluid-structure interaction
Pavel Eichler, Radek Fučík and Robert Straka
2020doi: 10.3934/dcdss.2020349 +[Abstract](252) +[HTML](118) +[PDF](3753.85KB)
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh
Peter Frolkovič, Karol Mikula, Jooyoung Hahn, Dirk Martin and Branislav Basara
2020doi: 10.3934/dcdss.2020350 +[Abstract](229) +[HTML](124) +[PDF](3938.33KB)
3D image segmentation supported by a point cloud
Balázs Kósa, Karol Mikula, Markjoe Olunna Uba, Antonia Weberling, Neophytos Christodoulou and Magdalena Zernicka-Goetz
2020doi: 10.3934/dcdss.2020351 +[Abstract](229) +[HTML](123) +[PDF](3718.61KB)
Machine-learning construction of a model for a macroscopic fluid variable using the delay-coordinate of a scalar observable
Kengo Nakai and Yoshitaka Saiki
2020doi: 10.3934/dcdss.2020352 +[Abstract](328) +[HTML](113) +[PDF](2368.47KB)
A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions
Franck Davhys Reval Langa and Morgan Pierre
2020doi: 10.3934/dcdss.2020353 +[Abstract](212) +[HTML](117) +[PDF](482.57KB)
Theoretical and numerical analysis of a class of quasilinear elliptic equations
Nahed Naceur, Nour Eddine Alaa, Moez Khenissi and Jean R. Roche
2020doi: 10.3934/dcdss.2020354 +[Abstract](306) +[HTML](116) +[PDF](933.57KB)
Stationary reaction-diffusion systems in $ L^1 $ revisited
El Haj Laamri and Michel Pierre
2020doi: 10.3934/dcdss.2020355 +[Abstract](212) +[HTML](143) +[PDF](299.09KB)
A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data
C. Burgos, J.-C. Cortés, L. Shaikhet and R.-J. Villanueva
2020doi: 10.3934/dcdss.2020356 +[Abstract](478) +[HTML](172) +[PDF](492.94KB)
Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion
Jianping Zhou, Yamin Liu, Ju H. Park, Qingkai Kong and Zhen Wang
2020doi: 10.3934/dcdss.2020357 +[Abstract](320) +[HTML](127) +[PDF](750.58KB)
A Novel Lyapunov functional with application to stability analysis of neutral systems with nonlinear disturbances
Sibel Senan, Eylem Yucel, Zeynep Orman, Ruya Samli and Sabri Arik
2020doi: 10.3934/dcdss.2020358 +[Abstract](245) +[HTML](120) +[PDF](250.84KB)
Further stability analysis of neutral-type Cohen-Grossberg neural networks with multiple delays
Ozlem Faydasicok
2020doi: 10.3934/dcdss.2020359 +[Abstract](292) +[HTML](132) +[PDF](259.22KB)
Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties
Philippe Laurençot and Christoph Walker
2020doi: 10.3934/dcdss.2020360 +[Abstract](218) +[HTML](120) +[PDF](381.75KB)
On classes of well-posedness for quasilinear diffusion equations in the whole space
Boris Andreianov and Mohamed Maliki
2020doi: 10.3934/dcdss.2020361 +[Abstract](229) +[HTML](111) +[PDF](560.33KB)
Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation
Patrick Martinez and Judith Vancostenoble
2020doi: 10.3934/dcdss.2020362 +[Abstract](210) +[HTML](107) +[PDF](476.04KB)
Instability of free interfaces in premixed flame propagation
Claude-Michel Brauner and Luca Lorenzi
2020doi: 10.3934/dcdss.2020363 +[Abstract](249) +[HTML](133) +[PDF](491.88KB)
Equipartition of energy for nonautonomous damped wave equations
Marcello D'Abbicco, Giovanni Girardi, Giséle Ruiz Goldstein, Jerome A. Goldstein and Silvia Romanelli
2020doi: 10.3934/dcdss.2020364 +[Abstract](215) +[HTML](110) +[PDF](385.83KB)
A semilinear heat equation with initial data in negative Sobolev spaces
Haruki Umakoshi
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