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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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Variational solutions of stochastic partial differential equations with cylindrical Lévy noise
Tomasz Kosmala and Markus Riedle
2021, 26(6) : 2879-2898 doi: 10.3934/dcdsb.2020209 +[Abstract](512) +[HTML](257) +[PDF](398.97KB)
Convergence rate of solutions toward stationary solutions to the isentropic micropolar fluid model in a half line
Haibo Cui and Haiyan Yin
2021, 26(6) : 2899-2920 doi: 10.3934/dcdsb.2020210 +[Abstract](497) +[HTML](247) +[PDF](436.74KB)
Periodic solutions to non-autonomous evolution equations with multi-delays
Pengyu Chen
2021, 26(6) : 2921-2939 doi: 10.3934/dcdsb.2020211 +[Abstract](511) +[HTML](243) +[PDF](379.78KB)
Global phase portraits and bifurcation diagrams for reversible equivariant hamiltonian systems of linear plus quartic homogeneous polynomials
Yuzhou Tian and Yulin Zhao
2021, 26(6) : 2941-2956 doi: 10.3934/dcdsb.2020214 +[Abstract](701) +[HTML](317) +[PDF](2049.56KB)
Optimal control of leachate recirculation for anaerobic processes in landfills
Marzia Bisi, Maria Groppi, Giorgio Martalò and Romina Travaglini
2021, 26(6) : 2957-2976 doi: 10.3934/dcdsb.2020215 +[Abstract](616) +[HTML](283) +[PDF](733.68KB)
Lyapunov exponents of discrete quasi-periodic gevrey schrödinger equations
Wenmeng Geng and Kai Tao
2021, 26(6) : 2977-2996 doi: 10.3934/dcdsb.2020216 +[Abstract](561) +[HTML](293) +[PDF](378.51KB)
Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
Renhao Cui
2021, 26(6) : 2997-3022 doi: 10.3934/dcdsb.2020217 +[Abstract](645) +[HTML](276) +[PDF](476.0KB)
The Keller-Segel system with logistic growth and signal-dependent motility
Hai-Yang Jin and Zhi-An Wang
2021, 26(6) : 3023-3041 doi: 10.3934/dcdsb.2020218 +[Abstract](571) +[HTML](254) +[PDF](386.14KB)
The impact of toxins on competition dynamics of three species in a polluted aquatic environment
Yuyue Zhang, Jicai Huang and Qihua Huang
2021, 26(6) : 3043-3068 doi: 10.3934/dcdsb.2020219 +[Abstract](529) +[HTML](285) +[PDF](1233.99KB)
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
2021, 26(6) : 3069-3096 doi: 10.3934/dcdsb.2020220 +[Abstract](510) +[HTML](305) +[PDF](803.51KB)
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
2021, 26(6) : 3097-3118 doi: 10.3934/dcdsb.2020221 +[Abstract](551) +[HTML](255) +[PDF](469.18KB)
A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations
Yueqiang Shang and Qihui Zhang
2021, 26(6) : 3119-3142 doi: 10.3934/dcdsb.2020222 +[Abstract](519) +[HTML](291) +[PDF](886.55KB)
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
2021, 26(6) : 3143-3175 doi: 10.3934/dcdsb.2020223 +[Abstract](697) +[HTML](292) +[PDF](4962.44KB)
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
Yuan Gao, Jian-Guo Liu, Tao Luo and Yang Xiang
2021, 26(6) : 3177-3207 doi: 10.3934/dcdsb.2020224 +[Abstract](764) +[HTML](262) +[PDF](547.94KB)
Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles
Montserrat Corbera and Claudia Valls
2021, 26(6) : 3209-3233 doi: 10.3934/dcdsb.2020225 +[Abstract](449) +[HTML](238) +[PDF](4216.56KB)
Invariant measures of stochastic delay lattice systems
Zhang Chen, Xiliang Li and Bixiang Wang
2021, 26(6) : 3235-3269 doi: 10.3934/dcdsb.2020226 +[Abstract](490) +[HTML](268) +[PDF](468.24KB)
Global well-posedness of a 3D Stokes-Magneto equations with fractional magnetic diffusion
Yingdan Ji and Wen Tan
2021, 26(6) : 3271-3278 doi: 10.3934/dcdsb.2020227 +[Abstract](476) +[HTML](228) +[PDF](346.6KB)
Dynamic observers for unknown populations
Chris Guiver, Nathan Poppelreiter, Richard Rebarber, Brigitte Tenhumberg and Stuart Townley
2021, 26(6) : 3279-3302 doi: 10.3934/dcdsb.2020232 +[Abstract](445) +[HTML](266) +[PDF](421.89KB)
Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise
Lingyu Li and Zhang Chen
2021, 26(6) : 3303-3333 doi: 10.3934/dcdsb.2020233 +[Abstract](476) +[HTML](260) +[PDF](440.33KB)
Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Marcel Braukhoff and Ansgar Jüngel
2021, 26(6) : 3335-3355 doi: 10.3934/dcdsb.2020234 +[Abstract](630) +[HTML](226) +[PDF](438.46KB)
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system
Yongjian Liu, Qiujian Huang and Zhouchao Wei
2021, 26(6) : 3357-3380 doi: 10.3934/dcdsb.2020235 +[Abstract](575) +[HTML](301) +[PDF](958.44KB)
Qualitative properties and bifurcations of a leaf-eating herbivores model
Jiyu Zhong
2021, 26(6) : 3381-3407 doi: 10.3934/dcdsb.2020236 +[Abstract](429) +[HTML](239) +[PDF](1525.08KB)
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
2021, 26(6) : 3409-3425 doi: 10.3934/dcdsb.2020237 +[Abstract](474) +[HTML](233) +[PDF](415.63KB)
Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays
Demou Luo and Qiru Wang
2021, 26(6) : 3427-3453 doi: 10.3934/dcdsb.2020238 +[Abstract](425) +[HTML](241) +[PDF](440.05KB)
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
Yongming Luo and Athanasios Stylianou
2021, 26(6) : 3455-3477 doi: 10.3934/dcdsb.2020239 +[Abstract](597) +[HTML](234) +[PDF](430.32KB)
Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency
Yanling Shi and Junxiang Xu
2020doi: 10.3934/dcdsb.2020241 +[Abstract](411) +[HTML](203) +[PDF](394.52KB)
Moran process and Wright-Fisher process favor low variability
Jan Rychtář and Dewey T. Taylor
2020doi: 10.3934/dcdsb.2020242 +[Abstract](480) +[HTML](227) +[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](218) +[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](205) +[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](541) +[HTML](232) +[PDF](1421.87KB)
Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations
Xin Zhong
2020doi: 10.3934/dcdsb.2020246 +[Abstract](411) +[HTML](227) +[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](434) +[HTML](223) +[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](439) +[HTML](233) +[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](439) +[HTML](206) +[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](209) +[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](405) +[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](413) +[HTML](201) +[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](413) +[HTML](224) +[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](399) +[HTML](203) +[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](492) +[HTML](229) +[PDF](520.94KB)
Evolutionary de Rham-Hodge method
Jiahui Chen, Rundong Zhao, Yiying Tong and Guo-Wei Wei
2020doi: 10.3934/dcdsb.2020257 +[Abstract](531) +[HTML](233) +[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](347) +[HTML](193) +[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](413) +[HTML](199) +[PDF](591.98KB)
Weak pullback mean random attractors for non-autonomous $ p $-Laplacian equations
Anhui Gu
2020doi: 10.3934/dcdsb.2020266 +[Abstract](376) +[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](327) +[HTML](188) +[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](418) +[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](556) +[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](364) +[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](483) +[HTML](204) +[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](178) +[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](347) +[HTML](187) +[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](353) +[HTML](192) +[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](316) +[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](391) +[HTML](206) +[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](334) +[HTML](177) +[PDF](3046.97KB)
Emergent behaviors of the generalized Lohe matrix model
Seung-Yeal Ha and Hansol Park
2020doi: 10.3934/dcdsb.2020286 +[Abstract](324) +[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](206) +[PDF](573.82KB)
Asymptotics in a two-species chemotaxis system with logistic source
Wenji Zhang and Pengcheng Niu
2020doi: 10.3934/dcdsb.2020288 +[Abstract](270) +[HTML](152) +[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](379) +[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](277) +[HTML](145) +[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](264) +[HTML](382) +[PDF](316.13KB)
Modulation approximation for the quantum Euler-Poisson equation
Dongfen Bian, Huimin Liu and Xueke Pu
2020doi: 10.3934/dcdsb.2020292 +[Abstract](278) +[HTML](162) +[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](325) +[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](293) +[HTML](155) +[PDF](573.57KB)
Lyapunov functions for disease models with immigration of infected hosts
Connell McCluskey
2020doi: 10.3934/dcdsb.2020296 +[Abstract](304) +[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](325) +[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](328) +[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](299) +[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](373) +[HTML](174) +[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](558) +[HTML](215) +[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](284) +[HTML](144) +[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](270) +[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](265) +[HTML](144) +[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](365) +[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](346) +[HTML](195) +[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](311) +[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](273) +[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](255) +[HTML](143) +[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](140) +[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](379) +[HTML](146) +[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](442) +[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](400) +[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](158) +[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](509) +[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](278) +[HTML](152) +[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](268) +[HTML](136) +[PDF](605.28KB)
Traveling wave solutions for a cancer stem cell invasion model
Caleb Mayer and Eric Stachura
2020doi: 10.3934/dcdsb.2020333 +[Abstract](294) +[HTML](140) +[PDF](465.35KB)
Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity
Xiangdong Zhao
2020doi: 10.3934/dcdsb.2020334 +[Abstract](253) +[HTML](127) +[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](273) +[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](330) +[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](130) +[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](241) +[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](398) +[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](357) +[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](340) +[HTML](130) +[PDF](765.02KB)
Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem
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Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors
Adam Glick and Antonio Mastroberardino
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Codimension one and two bifurcations in Cattaneo-Christov heat flux model
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Singular support of the global attractor for a damped BBM equation
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Qualitative analysis of a generalized Nosé-Hoover oscillator
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Optimal control strategies for an online game addiction model with low and high risk exposure
Youming Guo and Tingting Li
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Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
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Effective reduction of a three-dimensional circadian oscillator model
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Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
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Norm inflation for the Boussinesq system
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On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type
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High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Abdollah Borhanifar, Maria Alessandra Ragusa and Sohrab Valizadeh
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A diffusive weak Allee effect model with U-shaped emigration and matrix hostility
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The spatially heterogeneous diffusive rabies model and its shadow system
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The effect of surface pattern property on the advancing motion of three-dimensional droplets
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Strong convergence rates for markovian representations of fractional processes
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Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
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Mathematical analysis of a three-tiered food-web in the chemostat
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Stable transition layers in an unbalanced bistable equation
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Permanence, extinction and periodic solution of a stochastic single-species model with Lévy noises
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Parameter identification on Abelian integrals to achieve Chebyshev property
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Dynamics of non-autonomous fractional reaction-diffusion equations on $ \mathbb{R}^{N} $ driven by multiplicative noise
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Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
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System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
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Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
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Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces
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Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
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On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease
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Water taxes and fines imposed on legal and illegal firms exploiting groudwater
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Existence of periodic wave trains for an age-structured model with diffusion
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Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
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Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity
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Stochastic and deterministic SIS patch model
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Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays
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The global attractor for the wave equation with nonlocal strong damping
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Complex dynamics of a SIRS epidemic model with the influence of hospital bed number
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Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion
Mohammad Ghani, Jingyu Li and Kaijun Zhang
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Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
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Weak time discretization for slow-fast stochastic reaction-diffusion equations
Chungang Shi, Wei Wang and Dafeng Chen
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Limiting behavior of unstable manifolds for spdes in varying phase spaces
Lin Shi, Dingshi Li and Kening Lu
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Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
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Uniform stabilization of 1-D Schrödinger equation with internal difference-type control
Xiaorui Wang, Genqi Xu and Hao Chen
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Global attractors of two layer baroclinic quasi-geostrophic model
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On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions
Fang Li and Bo You
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The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
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Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
Mengyu Cheng and Zhenxin Liu
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Dynamics of a vector-host model under switching environments
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Initial value problem for fractional Volterra integro-differential equations with Caputo derivative
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First Return Time to the contact hyperplane for $ N $-degree-of-freedom vibro-impact systems
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Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in $ \mathbb{R}^2 $
Brahim Alouini
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Approximate dynamics of a class of stochastic wave equations with white noise
Guanggan Chen, Qin Li and Yunyun Wei
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Modeling, approximation, and time optimal temperature control for binder removal from ceramics
Carmen Chicone, Stephen J. Lombardo and David G. Retzloff
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Monotonic and nonmonotonic immune responses in viral infection systems
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Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
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Analysis of an age-structured model for HIV-TB co-infection
Zhong-Kai Guo, Hai-Feng Huo and Hong Xiang
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The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays
Yiwen Tao and Jingli Ren
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Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
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Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva and Helder Vilarinho
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Survival analysis for tumor growth model with stochastic perturbation
Dongxi Li, Ni Zhang, Ming Yan and Yanya Xing
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Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $
Shijin Ding, Bingyuan Huang and Xiaoyan Hou
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Behavior of solution of stochastic difference equation with continuous time under additive fading noise
Leonid Shaikhet
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Global boundedness for a $ \mathit{\boldsymbol{N}} $-dimensional two species cancer invasion haptotaxis model with tissue remodeling
Feng Dai and Bin Liu
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Global existence in a chemotaxis system with singular sensitivity and signal production
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On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
Xu Pan and Liangchen Wang
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Persistence of mosquito vector and dengue: Impact of seasonal and diurnal temperature variations
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Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
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Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains
Xiaobin Yao
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Existence of global weak solutions of $ p $-Navier-Stokes equations
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Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry
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Dynamics of Timoshenko system with time-varying weight and time-varying delay
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A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
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Stabilization by intermittent control for hybrid stochastic differential delay equations
Wei Mao, Yanan Jiang, Liangjian Hu and Xuerong Mao
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Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
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A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains
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Stability analysis and optimal control of production-limiting disease in farm with two vaccines
Yue Liu and Wing-Cheong Lo
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Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
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Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays
Kuo-Shou Chiu
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Bifurcation analysis in a delayed toxic-phytoplankton and zooplankton ecosystem with Monod-Haldane functional response
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Evaluating vaccination effectiveness of group-specific fractional-dose strategies
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Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
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On the Lorenz '96 model and some generalizations
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Single-target networks
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Input-to-state stability of infinite-dimensional stochastic nonlinear systems
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A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment
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Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
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Stability switching and its directions in cournot duopoly game with three delays
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Public debt dynamics under ambiguity by means of iterated function systems on density functions
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Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework
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A fast high order method for time fractional diffusion equation with non-smooth data
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Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori
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Dynamics of consumer-resource systems with consumer's dispersal between patches
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Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain
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Normal deviation of synchronization of stochastic coupled systems
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Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two
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Discrete-time dynamics of structured populations via Feller kernels
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Positive solutions of singular multiparameter p-Laplacian elliptic systems
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Mixed Hegselmann-Krause dynamics
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Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
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Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation
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Dynamics of a HIV-1 Infection model with cell-mediated immune response and intracellular delay
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