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Centered around dynamics, 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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Consensus in discrete-time multi-agent systems with uncertain topologies and random delays governed by a Markov chain
Xi Zhu, Meixia Li and Chunfa Li
2020, 25(12) : 4535-4551 doi: 10.3934/dcdsb.2020111 +[Abstract](792) +[HTML](336) +[PDF](678.24KB)
Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations
Vladimir Angulo-Castillo and Lucas C. F. Ferreira
2020, 25(12) : 4553-4573 doi: 10.3934/dcdsb.2020112 +[Abstract](692) +[HTML](319) +[PDF](495.03KB)
Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation
Yong-Guo Shi
2020, 25(12) : 4575-4583 doi: 10.3934/dcdsb.2020113 +[Abstract](686) +[HTML](303) +[PDF](383.56KB)
A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
Liangchen Wang and Chunlai Mu
2020, 25(12) : 4585-4601 doi: 10.3934/dcdsb.2020114 +[Abstract](706) +[HTML](358) +[PDF](547.19KB)
A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum
Xin Zhong
2020, 25(12) : 4603-4615 doi: 10.3934/dcdsb.2020115 +[Abstract](675) +[HTML](302) +[PDF](408.37KB)
Uniform attractors of stochastic two-compartment Gray-Scott system with multiplicative noise
Junwei Feng, Hui Liu and Jie Xin
2020, 25(12) : 4617-4640 doi: 10.3934/dcdsb.2020116 +[Abstract](571) +[HTML](284) +[PDF](479.44KB)
Bifurcation analysis and dynamic behavior to a predator-prey model with Beddington-DeAngelis functional response and protection zone
Xiao He and Sining Zheng
2020, 25(12) : 4641-4657 doi: 10.3934/dcdsb.2020117 +[Abstract](687) +[HTML](316) +[PDF](408.46KB)
A delayed differential equation model for mosquito population suppression with sterile mosquitoes
Yuanxian Hui, Genghong Lin, Jianshe Yu and Jia Li
2020, 25(12) : 4659-4676 doi: 10.3934/dcdsb.2020118 +[Abstract](861) +[HTML](361) +[PDF](677.31KB)
Effects of travel frequency on the persistence of mosquito-borne diseases
Xianyun Chen and Daozhou Gao
2020, 25(12) : 4677-4701 doi: 10.3934/dcdsb.2020119 +[Abstract](711) +[HTML](310) +[PDF](1261.66KB)
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation
Frederic Heihoff
2020, 25(12) : 4703-4719 doi: 10.3934/dcdsb.2020120 +[Abstract](793) +[HTML](299) +[PDF](547.45KB)
Free boundary problems with nonlocal and local diffusions Ⅱ: Spreading-vanishing and long-time behavior
Jianping Wang and Mingxin Wang
2020, 25(12) : 4721-4736 doi: 10.3934/dcdsb.2020121 +[Abstract](919) +[HTML](312) +[PDF](442.42KB)
Periodic solutions for SDEs through upper and lower solutions
Chunyan Ji, Yang Xue and Yong Li
2020, 25(12) : 4737-4754 doi: 10.3934/dcdsb.2020122 +[Abstract](663) +[HTML](305) +[PDF](481.16KB)
Wolbachia infection dynamics in mosquito population with the CI effect suffering by uninfected ova produced by infected females
Hui Wan, Yunyan Cao and Ling Xue
2020, 25(12) : 4755-4778 doi: 10.3934/dcdsb.2020123 +[Abstract](767) +[HTML](353) +[PDF](2262.9KB)
Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences
Rajeshwari Majumdar, Phanuel Mariano, Hugo Panzo, Lowen Peng and Anthony Sisti
2020, 25(12) : 4779-4799 doi: 10.3934/dcdsb.2020126 +[Abstract](570) +[HTML](263) +[PDF](541.53KB)
Small time asymptotics for SPDEs with locally monotone coefficients
Shihu Li, Wei Liu and Yingchao Xie
2020, 25(12) : 4801-4822 doi: 10.3934/dcdsb.2020127 +[Abstract](761) +[HTML](248) +[PDF](509.28KB)
A new weak solution to an optimal stopping problem
Cong Qin and Xinfu Chen
2020, 25(12) : 4823-4837 doi: 10.3934/dcdsb.2020128 +[Abstract](461) +[HTML](251) +[PDF](397.58KB)
A continuous-time stochastic model of cell motion in the presence of a chemoattractant
J. C. Dallon, Lynnae C. Despain, Emily J. Evans and Christopher P. Grant
2020, 25(12) : 4839-4852 doi: 10.3934/dcdsb.2020129 +[Abstract](606) +[HTML](261) +[PDF](381.72KB)
Using automatic differentiation to compute periodic orbits of delay differential equations
Joan Gimeno and Àngel Jorba
2020, 25(12) : 4853-4867 doi: 10.3934/dcdsb.2020130 +[Abstract](537) +[HTML](290) +[PDF](853.99KB)
A game-theoretic framework for autonomous vehicles velocity control: Bridging microscopic differential games and macroscopic mean field games
Kuang Huang, Xuan Di, Qiang Du and Xi Chen
2020, 25(12) : 4869-4903 doi: 10.3934/dcdsb.2020131 +[Abstract](737) +[HTML](292) +[PDF](5489.49KB)
Numerical investigation of ensemble methods with block iterative solvers for evolution problems
Lili Ju, Wei Leng, Zhu Wang and Shuai Yuan
2020, 25(12) : 4905-4923 doi: 10.3934/dcdsb.2020132 +[Abstract](656) +[HTML](269) +[PDF](7148.18KB)
Corrigendum on “H. Li and M. Ma, global dynamics of a virus infection model with repulsive effect, Discrete and Continuous Dynamical Systems, Series B, 24(9) 4783-4797, 2019”
Hui Li and Manjun Ma
2020, 25(12) : 4925-4925 doi: 10.3934/dcdsb.2020299 +[Abstract](202) +[HTML](67) +[PDF](101.51KB)
Recent developments on a singular predator-prey model
Yu-Shuo Chen, Jong-Shenq Guo and Masahiko Shimojo
2020doi: 10.3934/dcdsb.2020040 +[Abstract](845) +[HTML](385) +[PDF](321.36KB)
Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response
Xin Jiang, Zhikun She and Shigui Ruan
2020doi: 10.3934/dcdsb.2020041 +[Abstract](901) +[HTML](414) +[PDF](1154.07KB)
Spatial pattern formation in activator-inhibitor models with nonlocal dispersal
Shanshan Chen, Junping Shi and Guohong Zhang
2020doi: 10.3934/dcdsb.2020042 +[Abstract](955) +[HTML](451) +[PDF](701.25KB)
A spatially heterogeneous predator-prey model
Julián López-Gómez and Eduardo Muñoz-Hernández
2020doi: 10.3934/dcdsb.2020081 +[Abstract](1182) +[HTML](949) +[PDF](470.11KB)
Asymptotic behavior of solutions of Aoki-Shida-Shigesada model in bounded domains
Ján Eliaš, Masayasu Mimura and Ryunosuke Mori
2020doi: 10.3934/dcdsb.2020082 +[Abstract](714) +[HTML](394) +[PDF](286.32KB)
On a singularly perturbed semi-linear problem with Robin boundary conditions
Qianqian Hou, Tai-Chia Lin and Zhi-An Wang
2020doi: 10.3934/dcdsb.2020083 +[Abstract](792) +[HTML](378) +[PDF](343.92KB)
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
Huijuan Song, Bei Hu and Zejia Wang
2020doi: 10.3934/dcdsb.2020084 +[Abstract](848) +[HTML](393) +[PDF](443.97KB)
Stabilization of stochastic differential equations driven by G-Lévy process with discrete-time feedback control
Guangjun Shen, Xueying Wu and Xiuwei Yin
2020doi: 10.3934/dcdsb.2020133 +[Abstract](691) +[HTML](277) +[PDF](391.79KB)
Stabilities and dynamic transitions of the Fitzhugh-Nagumo system
Chao Xing, Zhigang Pan and Quan Wang
2020doi: 10.3934/dcdsb.2020134 +[Abstract](542) +[HTML](255) +[PDF](374.33KB)
Mathematical modeling of an immune checkpoint inhibitor and its synergy with an immunostimulant
Elpiniki Nikolopoulou, Steffen E. Eikenberry, Jana L. Gevertz and Yang Kuang
2020doi: 10.3934/dcdsb.2020138 +[Abstract](658) +[HTML](339) +[PDF](1035.92KB)
Global optimization-based dimer method for finding saddle points
Bing Yu and Lei Zhang
2020doi: 10.3934/dcdsb.2020139 +[Abstract](596) +[HTML](318) +[PDF](1571.7KB)
Coexistence of competing consumers on a single resource in a hybrid model
Yunfeng Geng, Xiaoying Wang and Frithjof Lutscher
2020doi: 10.3934/dcdsb.2020140 +[Abstract](616) +[HTML](272) +[PDF](1569.92KB)
The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures
Andrea Giorgini, Roger Temam and Xuan-Truong Vu
2020doi: 10.3934/dcdsb.2020141 +[Abstract](608) +[HTML](310) +[PDF](446.5KB)
Well-posedness and decay of solutions to 3D generalized Navier-Stokes equations
Xiaopeng Zhao and Yong Zhou
2020doi: 10.3934/dcdsb.2020142 +[Abstract](535) +[HTML](235) +[PDF](422.66KB)
Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows
Xiaoli Lu, Pengzhan Huang and Yinnian He
2020doi: 10.3934/dcdsb.2020143 +[Abstract](539) +[HTML](262) +[PDF](249.36KB)
Chaos control in a special pendulum system for ultra-subharmonic resonance
Xianwei Chen, Xiangling Fu and Zhujun Jing
2020doi: 10.3934/dcdsb.2020144 +[Abstract](444) +[HTML](220) +[PDF](476.54KB)
Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields
Jianfeng Huang and Haihua Liang
2020doi: 10.3934/dcdsb.2020145 +[Abstract](424) +[HTML](222) +[PDF](332.01KB)
On the rigid-lid approximation of shallow water Bingham
Bilal Al Taki, Khawla Msheik and Jacques Sainte-Marie
2020doi: 10.3934/dcdsb.2020146 +[Abstract](436) +[HTML](244) +[PDF](549.15KB)
Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback
Wenjun Liu and Hefeng Zhuang
2020doi: 10.3934/dcdsb.2020147 +[Abstract](480) +[HTML](223) +[PDF](471.54KB)
A modified May–Holling–Tanner predator-prey model with multiple Allee effects on the prey and an alternative food source for the predator
Claudio Arancibia-Ibarra, José Flores, Michael Bode, Graeme Pettet and Peter van Heijster
2020doi: 10.3934/dcdsb.2020148 +[Abstract](598) +[HTML](265) +[PDF](1691.99KB)
Asymmetric diffusion in a two-patch mutualism system characterizing exchange of resource for resource
Yuanshi Wang
2020doi: 10.3934/dcdsb.2020149 +[Abstract](562) +[HTML](228) +[PDF](554.68KB)
Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force
Xiuli Xu and Xueke Pu
2020doi: 10.3934/dcdsb.2020150 +[Abstract](400) +[HTML](222) +[PDF](372.15KB)
Time scale-induced asynchronous discrete dynamical systems
Stefan Siegmund and Petr Stehlík
2020doi: 10.3934/dcdsb.2020151 +[Abstract](491) +[HTML](224) +[PDF](463.38KB)
Entire solutions originating from monotone fronts for nonlocal dispersal equations with bistable nonlinearity
Fang-Di Dong, Wan-Tong Li, Shi-Liang Wu and Li Zhang
2020doi: 10.3934/dcdsb.2020152 +[Abstract](416) +[HTML](252) +[PDF](450.22KB)
Boundary dynamics of the replicator equations for neutral models of cyclic dominance
Eric Foxall
2020doi: 10.3934/dcdsb.2020153 +[Abstract](419) +[HTML](222) +[PDF](774.1KB)
Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary
Lei Yang and Lianzhang Bao
2020doi: 10.3934/dcdsb.2020154 +[Abstract](442) +[HTML](258) +[PDF](1541.59KB)
Flocking of non-identical Cucker-Smale models on general coupling network
Yu-Jhe Huang, Zhong-Fu Huang, Jonq Juang and Yu-Hao Liang
2020doi: 10.3934/dcdsb.2020155 +[Abstract](616) +[HTML](240) +[PDF](565.69KB)
Global analysis of a model of competition in the chemostat with internal inhibitor
Mohamed Dellal and Bachir Bar
2020doi: 10.3934/dcdsb.2020156 +[Abstract](626) +[HTML](259) +[PDF](868.13KB)
Global dynamics in a tumor-immune model with an immune checkpoint inhibitor
Shujing Shi, Jicai Huang and Yang Kuang
2020doi: 10.3934/dcdsb.2020157 +[Abstract](483) +[HTML](222) +[PDF](868.89KB)
Enhanced Backscattering of a partially coherent field from an anisotropic random lossy medium
Josselin Garnier and Knut Sølna
2020doi: 10.3934/dcdsb.2020158 +[Abstract](427) +[HTML](237) +[PDF](544.5KB)
On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model
Ran Zhang and Shengqiang Liu
2020doi: 10.3934/dcdsb.2020159 +[Abstract](554) +[HTML](225) +[PDF](260.49KB)
Forced oscillation of viscous Burgers' equation with a time-periodic force
Taige Wang and Bing-Yu Zhang
2020doi: 10.3934/dcdsb.2020160 +[Abstract](428) +[HTML](232) +[PDF](406.72KB)
Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows
Dongfen Bian and Yao Xiao
2020doi: 10.3934/dcdsb.2020161 +[Abstract](430) +[HTML](253) +[PDF](443.0KB)
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
Jinfeng Wang, Sainan Wu and Junping Shi
2020doi: 10.3934/dcdsb.2020162 +[Abstract](703) +[HTML](256) +[PDF](686.98KB)
Global existence and exponential decay of strong solutions to the cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum
Yang Liu
2020doi: 10.3934/dcdsb.2020163 +[Abstract](481) +[HTML](213) +[PDF](296.0KB)
Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
Gheorghe Craciun, Jiaxin Jin, Casian Pantea and Adrian Tudorascu
2020doi: 10.3934/dcdsb.2020164 +[Abstract](501) +[HTML](222) +[PDF](435.42KB)
Bistability of sequestration networks
Xiaoxian Tang and Jie Wang
2020doi: 10.3934/dcdsb.2020165 +[Abstract](425) +[HTML](227) +[PDF](393.41KB)
Dynamics of the QR-flow for upper Hessenberg real matrices
Joan Carles Tatjer and Arturo Vieiro
2020doi: 10.3934/dcdsb.2020166 +[Abstract](533) +[HTML](220) +[PDF](2700.08KB)
On Milstein-type scheme for SDE driven by Lévy noise with super-linear coefficients
Chaman Kumar
2020doi: 10.3934/dcdsb.2020167 +[Abstract](479) +[HTML](211) +[PDF](401.09KB)
Approximation methods for the distributed order calculus using the convolution quadrature
Baoli Yin, Yang Liu, Hong Li and Zhimin Zhang
2020doi: 10.3934/dcdsb.2020168 +[Abstract](561) +[HTML](243) +[PDF](408.85KB)
Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures
Azmy S. Ackleh and Nicolas Saintier
2020doi: 10.3934/dcdsb.2020169 +[Abstract](429) +[HTML](221) +[PDF](518.09KB)
On discrete-time semi-Markov processes
Angelica Pachon, Federico Polito and Costantino Ricciuti
2020doi: 10.3934/dcdsb.2020170 +[Abstract](672) +[HTML](246) +[PDF](434.43KB)
Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families
Pengyu Chen, Yongxiang Li and Xuping Zhang
2020doi: 10.3934/dcdsb.2020171 +[Abstract](480) +[HTML](228) +[PDF](326.83KB)
Attractors for FitzHugh-Nagumo lattice systems with almost periodic nonlinear parts
Amira M. Boughoufala and Ahmed Y. Abdallah
2020doi: 10.3934/dcdsb.2020172 +[Abstract](505) +[HTML](261) +[PDF](381.21KB)
The Poincaré bifurcation of a SD oscillator
Yangjian Sun and Changjian Liu
2020doi: 10.3934/dcdsb.2020173 +[Abstract](494) +[HTML](241) +[PDF](519.06KB)
On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms
Vo Van Au, Mokhtar Kirane and Nguyen Huy Tuan
2020doi: 10.3934/dcdsb.2020174 +[Abstract](511) +[HTML](252) +[PDF](523.61KB)
Ergodicity of stochastic damped Ostrovsky equation driven by white noise
Shang Wu, Pengfei Xu, Jianhua Huang and Wei Yan
2020doi: 10.3934/dcdsb.2020175 +[Abstract](503) +[HTML](223) +[PDF](330.25KB)
Ground state homoclinic orbits for a class of asymptotically periodic second-order Hamiltonian systems
Ying Lv, Yan-Fang Xue and Chun-Lei Tang
2020doi: 10.3934/dcdsb.2020176 +[Abstract](396) +[HTML](196) +[PDF](483.94KB)
Dynamic aspects of Sprott BC chaotic system
Marcos C. Mota and Regilene D. S. Oliveira
2020doi: 10.3934/dcdsb.2020177 +[Abstract](469) +[HTML](192) +[PDF](905.41KB)
Finite element approximation of nonlocal dynamic fracture models
P. K. Jha and R. Lipton
2020doi: 10.3934/dcdsb.2020178 +[Abstract](387) +[HTML](214) +[PDF](674.23KB)
A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems
Hongbo Guan, Yong Yang and Huiqing Zhu
2020doi: 10.3934/dcdsb.2020179 +[Abstract](437) +[HTML](204) +[PDF](645.5KB)
Existence results for fractional differential equations in presence of upper and lower solutions
Rim Bourguiba and Rosana Rodríguez-López
2020doi: 10.3934/dcdsb.2020180 +[Abstract](471) +[HTML](191) +[PDF](506.46KB)
Quasi-toric differential inclusions
Gheorghe Craciun, Abhishek Deshpande and Hyejin Jenny Yeon
2020doi: 10.3934/dcdsb.2020181 +[Abstract](406) +[HTML](192) +[PDF](1323.36KB)
Design of new scheme adaptive generalized hybrid projective synchronization for two different chaotic systems with uncertain parameters
Rabiaa Ouahabi and Nasr-Eddine Hamri
2020doi: 10.3934/dcdsb.2020182 +[Abstract](428) +[HTML](184) +[PDF](405.33KB)
A nonisothermal thermodynamical model of liquid-vapor interaction with metastability
Hala Ghazi, François James and Hélène Mathis
2020doi: 10.3934/dcdsb.2020183 +[Abstract](376) +[HTML](201) +[PDF](13312.0KB)
A new over-penalized weak galerkin method. Part Ⅰ: Second-order elliptic problems
Kaifang Liu, Lunji Song and Shan Zhao
2020doi: 10.3934/dcdsb.2020184 +[Abstract](533) +[HTML](197) +[PDF](514.63KB)
Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations
Jiangxing Wang
2020doi: 10.3934/dcdsb.2020185 +[Abstract](389) +[HTML](198) +[PDF](463.26KB)
On the unboundedness of the ratio of species and resources for the diffusive logistic equation
Jumpei Inoue and Kousuke Kuto
2020doi: 10.3934/dcdsb.2020186 +[Abstract](495) +[HTML](178) +[PDF](368.3KB)
Size estimates for the weighted p-Laplace equation with one measurement
Manas Kar and Jenn-Nan Wang
2020doi: 10.3934/dcdsb.2020188 +[Abstract](374) +[HTML](178) +[PDF](376.31KB)
Random attractors for 2D stochastic micropolar fluid flows on unbounded domains
Wenlong Sun, Jiaqi Cheng and Xiaoying Han
2020doi: 10.3934/dcdsb.2020189 +[Abstract](365) +[HTML](195) +[PDF](612.78KB)
On a pore-scale stationary diffusion equation: Scaling effects and correctors for the homogenization limit
Vo Anh Khoa, Thi Kim Thoa Thieu and Ekeoma Rowland Ijioma
2020doi: 10.3934/dcdsb.2020190 +[Abstract](630) +[HTML](213) +[PDF](1097.2KB)
Abstract similarity, fractals and chaos
Marat Akhmet and Ejaily Milad Alejaily
2020doi: 10.3934/dcdsb.2020191 +[Abstract](594) +[HTML](192) +[PDF](1179.89KB)
A Wong-Zakai approximation of stochastic differential equations driven by a general semimartingale
Xianming Liu and Guangyue Han
2020doi: 10.3934/dcdsb.2020192 +[Abstract](427) +[HTML](193) +[PDF](341.79KB)
The nonstationary flows of micropolar fluids with thermal convection: An iterative approach
Charles Amorim, Miguel Loayza and Marko A. Rojas-Medar
2020doi: 10.3934/dcdsb.2020193 +[Abstract](496) +[HTML](178) +[PDF](383.09KB)
A blow-up result for the chemotaxis system with nonlinear signal production and logistic source
Hong Yi, Chunlai Mu, Guangyu Xu and Pan Dai
2020doi: 10.3934/dcdsb.2020194 +[Abstract](421) +[HTML](237) +[PDF](400.12KB)
Large-time behavior of matured population in an age-structured model
Linlin Li and Bedreddine Ainseba
2020doi: 10.3934/dcdsb.2020195 +[Abstract](398) +[HTML](180) +[PDF](785.65KB)
A new over-penalized weak galerkin finite element method. Part Ⅱ: Elliptic interface problems
Lunji Song, Wenya Qi, Kaifang Liu and Qingxian Gu
2020doi: 10.3934/dcdsb.2020196 +[Abstract](567) +[HTML](213) +[PDF](1732.9KB)
Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system
Dan Wei and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020197 +[Abstract](446) +[HTML](208) +[PDF](2455.25KB)
Global classical solutions to two-dimensional chemotaxis-shallow water system
Ying Yang
2020doi: 10.3934/dcdsb.2020198 +[Abstract](426) +[HTML](185) +[PDF](344.65KB)
Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media
Jianping Gao, Shangjiang Guo and Wenxian Shen
2020doi: 10.3934/dcdsb.2020199 +[Abstract](420) +[HTML](177) +[PDF](416.42KB)
Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks
Zengyun Wang, Jinde Cao, Zuowei Cai and Lihong Huang
2020doi: 10.3934/dcdsb.2020200 +[Abstract](513) +[HTML](207) +[PDF](519.36KB)
Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions
Shangzhi Li and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020201 +[Abstract](510) +[HTML](187) +[PDF](1278.18KB)
Properties of basins of attraction for planar discrete cooperative maps
M. R. S. Kulenović, J. Marcotte and O. Merino
2020doi: 10.3934/dcdsb.2020202 +[Abstract](358) +[HTML](188) +[PDF](1375.71KB)
Solving a system of linear differential equations with interval coefficients
Nizami A. Gasilov
2020doi: 10.3934/dcdsb.2020203 +[Abstract](420) +[HTML](202) +[PDF](288.98KB)
Collective behaviors of a Winfree ensemble on an infinite cylinder
Seung-Yeal Ha, Myeongju Kang and Bora Moon
2020doi: 10.3934/dcdsb.2020204 +[Abstract](428) +[HTML](182) +[PDF](798.27KB)
Numerical analysis and simulation of an adhesive contact problem with damage and long memory
Hailing Xuan and Xiaoliang Cheng
2020doi: 10.3934/dcdsb.2020205 +[Abstract](455) +[HTML](205) +[PDF](2898.5KB)
Global and exponential attractors for a nonlinear porous elastic system with delay term
Manoel J. Dos Santos, Baowei Feng, Dilberto S. Almeida Júnior and Mauro L. Santos
2020doi: 10.3934/dcdsb.2020206 +[Abstract](453) +[HTML](198) +[PDF](401.31KB)
Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise
Xiaohu Wang, Dingshi Li and Jun Shen
2020doi: 10.3934/dcdsb.2020207 +[Abstract](351) +[HTML](153) +[PDF](429.99KB)
Periodic forcing on degenerate Hopf bifurcation
Qigang Yuan and Jingli Ren
2020doi: 10.3934/dcdsb.2020208 +[Abstract](391) +[HTML](183) +[PDF](1437.16KB)
Variational solutions of stochastic partial differential equations with cylindrical Lévy noise
Tomasz Kosmala and Markus Riedle
2020doi: 10.3934/dcdsb.2020209 +[Abstract](370) +[HTML](175) +[PDF](381.86KB)
Convergence rate of solutions toward stationary solutions to the isentropic micropolar fluid model in a half line
Haibo Cui and Haiyan Yin
2020doi: 10.3934/dcdsb.2020210 +[Abstract](347) +[HTML](160) +[PDF](419.44KB)
Periodic solutions to non-autonomous evolution equations with multi-delays
Pengyu Chen
2020doi: 10.3934/dcdsb.2020211 +[Abstract](347) +[HTML](160) +[PDF](355.89KB)
Viral dynamics of HIV-1 with CTL immune response
Aiping Wang and Michael Y. Li
2020doi: 10.3934/dcdsb.2020212 +[Abstract](413) +[HTML](203) +[PDF](580.03KB)
On the role of pharmacometrics in mathematical models for cancer treatments
Urszula Ledzewicz and Heinz Schättler
2020doi: 10.3934/dcdsb.2020213 +[Abstract](353) +[HTML](183) +[PDF](447.54KB)
Global phase portraits and bifurcation diagrams for reversible equivariant hamiltonian systems of linear plus quartic homogeneous polynomials
Yuzhou Tian and Yulin Zhao
2020doi: 10.3934/dcdsb.2020214 +[Abstract](495) +[HTML](226) +[PDF](1889.44KB)
Optimal control of leachate recirculation for anaerobic processes in landfills
Marzia Bisi, Maria Groppi, Giorgio Martalò and Romina Travaglini
2020doi: 10.3934/dcdsb.2020215 +[Abstract](455) +[HTML](186) +[PDF](716.81KB)
Lyapunov exponents of discrete quasi-periodic gevrey schrödinger equations
Wenmeng Geng and Kai Tao
2020doi: 10.3934/dcdsb.2020216 +[Abstract](368) +[HTML](203) +[PDF](361.52KB)
Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
Renhao Cui
2020doi: 10.3934/dcdsb.2020217 +[Abstract](477) +[HTML](187) +[PDF](459.03KB)
The Keller-Segel system with logistic growth and signal-dependent motility
Hai-Yang Jin and Zhi-An Wang
2020doi: 10.3934/dcdsb.2020218 +[Abstract](386) +[HTML](160) +[PDF](369.13KB)
The impact of toxins on competition dynamics of three species in a polluted aquatic environment
Yuyue Zhang, Jicai Huang and Qihua Huang
2020doi: 10.3934/dcdsb.2020219 +[Abstract](365) +[HTML](185) +[PDF](1209.71KB)
An almost periodic Dengue transmission model with age structure and time-delayed input of vector in a patchy environment
Jing Feng and Bin-Guo Wang
2020doi: 10.3934/dcdsb.2020220 +[Abstract](362) +[HTML](217) +[PDF](862.64KB)
Mean-square delay-distribution-dependent exponential synchronization of chaotic neural networks with mixed random time-varying delays and restricted disturbances
Quan Hai and Shutang Liu
2020doi: 10.3934/dcdsb.2020221 +[Abstract](390) +[HTML](161) +[PDF](464.22KB)
A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations
Yueqiang Shang and Qihui Zhang
2020doi: 10.3934/dcdsb.2020222 +[Abstract](371) +[HTML](194) +[PDF](869.2KB)
A mathematical model to restore water quality in urban lakes using Phoslock
Pankaj Kumar Tiwari, Rajesh Kumar Singh, Subhas Khajanchi, Yun Kang and Arvind Kumar Misra
2020doi: 10.3934/dcdsb.2020223 +[Abstract](474) +[HTML](195) +[PDF](4945.1KB)
Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space
Yuan Gao, Jian-Guo Liu, Tao Luo and Yang Xiang
2020doi: 10.3934/dcdsb.2020224 +[Abstract](498) +[HTML](170) +[PDF](531.65KB)
Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles
Montserrat Corbera and Claudia Valls
2020doi: 10.3934/dcdsb.2020225 +[Abstract](290) +[HTML](149) +[PDF](4199.41KB)
Invariant measures of stochastic delay lattice systems
Zhang Chen, Xiliang Li and Bixiang Wang
2020doi: 10.3934/dcdsb.2020226 +[Abstract](329) +[HTML](150) +[PDF](450.68KB)
Global well-posedness of a 3D Stokes-Magneto equations with fractional magnetic diffusion
Yingdan Ji and Wen Tan
2020doi: 10.3934/dcdsb.2020227 +[Abstract](310) +[HTML](141) +[PDF](329.28KB)
Bilinear equations in Hilbert space driven by paths of low regularity
Petr Čoupek and María J. Garrido-Atienza
2020doi: 10.3934/dcdsb.2020230 +[Abstract](299) +[HTML](159) +[PDF](510.51KB)
Bifurcations in periodic integrodifference equations in $ C(\Omega) $ I: Analytical results and applications
Christian Aarset and Christian Pötzsche
2020doi: 10.3934/dcdsb.2020231 +[Abstract](328) +[HTML](156) +[PDF](2657.98KB)
Dynamic observers for unknown populations
Chris Guiver, Nathan Poppelreiter, Richard Rebarber, Brigitte Tenhumberg and Stuart Townley
2020doi: 10.3934/dcdsb.2020232 +[Abstract](293) +[HTML](165) +[PDF](381.37KB)
Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise
Lingyu Li and Zhang Chen
2020doi: 10.3934/dcdsb.2020233 +[Abstract](325) +[HTML](158) +[PDF](423.25KB)
Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Marcel Braukhoff and Ansgar Jüngel
2020doi: 10.3934/dcdsb.2020234 +[Abstract](484) +[HTML](138) +[PDF](421.59KB)
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system
Yongjian Liu, Qiujian Huang and Zhouchao Wei
2020doi: 10.3934/dcdsb.2020235 +[Abstract](379) +[HTML](167) +[PDF](941.5KB)
Qualitative properties and bifurcations of a leaf-eating herbivores model
Jiyu Zhong
2020doi: 10.3934/dcdsb.2020236 +[Abstract](264) +[HTML](151) +[PDF](1514.42KB)
Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces
Jinyi Sun, Zunwei Fu, Yue Yin and Minghua Yang
2020doi: 10.3934/dcdsb.2020237 +[Abstract](320) +[HTML](146) +[PDF](398.39KB)
Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays
Demou Luo and Qiru Wang
2020doi: 10.3934/dcdsb.2020238 +[Abstract](275) +[HTML](152) +[PDF](415.69KB)
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
Yongming Luo and Athanasios Stylianou
2020doi: 10.3934/dcdsb.2020239 +[Abstract](396) +[HTML](146) +[PDF](413.35KB)
Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency
Yanling Shi and Junxiang Xu
2020doi: 10.3934/dcdsb.2020241 +[Abstract](259) +[HTML](117) +[PDF](394.52KB)
Moran process and Wright-Fisher process favor low variability
Jan Rychtář and Dewey T. Taylor
2020doi: 10.3934/dcdsb.2020242 +[Abstract](261) +[HTML](128) +[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](217) +[HTML](132) +[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](222) +[HTML](121) +[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](288) +[HTML](136) +[PDF](1421.87KB)
Global strong solution and exponential decay for nonhomogeneous magnetohydrodynamic equations
Xin Zhong
2020doi: 10.3934/dcdsb.2020246 +[Abstract](238) +[HTML](131) +[PDF](372.53KB)
Analytical study of resonance regions for second kind commensurate fractional systems
Assia Boubidi, Sihem Kechida and Hicham Tebbikh
2020doi: 10.3934/dcdsb.2020247 +[Abstract](287) +[HTML](143) +[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](255) +[HTML](122) +[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](262) +[HTML](123) +[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](208) +[HTML](117) +[PDF](397.87KB)
Collision-free flocking for a time-delay system
Maoli Chen, Xiao Wang and Yicheng Liu
2020doi: 10.3934/dcdsb.2020251 +[Abstract](696) +[HTML](117) +[PDF](375.17KB)
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](241) +[HTML](125) +[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](268) +[HTML](115) +[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](250) +[HTML](124) +[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](232) +[HTML](111) +[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](251) +[HTML](139) +[PDF](520.94KB)
Evolutionary de Rham-Hodge method
Jiahui Chen, Rundong Zhao, Yiying Tong and Guo-Wei Wei
2020doi: 10.3934/dcdsb.2020257 +[Abstract](243) +[HTML](131) +[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](202) +[HTML](108) +[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](231) +[HTML](104) +[PDF](591.98KB)
Equilibrium validation in models for pattern formation based on Sobolev embeddings
Evelyn Sander and Thomas Wanner
2020doi: 10.3934/dcdsb.2020260 +[Abstract](243) +[HTML](119) +[PDF](1443.51KB)
Rich dynamics of a simple delay host-pathogen model of cell-to-cell infection for plant virus
Tin Phan, Bruce Pell, Amy E. Kendig, Elizabeth T. Borer and Yang Kuang
2020doi: 10.3934/dcdsb.2020261 +[Abstract](253) +[HTML](125) +[PDF](584.23KB)
Efficient and accurate sav schemes for the generalized Zakharov systems
Jie Shen and Nan Zheng
2020doi: 10.3934/dcdsb.2020262 +[Abstract](202) +[HTML](142) +[PDF](1732.88KB)
Chaotic dynamics in a simple predator-prey model with discrete delay
Guihong Fan and Gail S. K. Wolkowicz
2020doi: 10.3934/dcdsb.2020263 +[Abstract](235) +[HTML](138) +[PDF](5399.39KB)
Dynamics of a discrete-time stoichiometric optimal foraging model
Ming Chen and Hao Wang
2020doi: 10.3934/dcdsb.2020264 +[Abstract](319) +[HTML](124) +[PDF](668.8KB)
Weak pullback mean random attractors for non-autonomous $ p $-Laplacian equations
Anhui Gu
2020doi: 10.3934/dcdsb.2020266 +[Abstract](219) +[HTML](116) +[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](202) +[HTML](116) +[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](190) +[HTML](106) +[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](247) +[HTML](107) +[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](353) +[HTML](141) +[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](198) +[HTML](110) +[PDF](911.63KB)
Complex dynamics in a quasi-periodic plasma perturbations model
Xin Zhang and Shuangling Yang
2020doi: 10.3934/dcdsb.2020272 +[Abstract](273) +[HTML](113) +[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](187) +[HTML](98) +[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](186) +[HTML](100) +[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](189) +[HTML](106) +[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](234) +[HTML](102) +[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](178) +[HTML](103) +[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](220) +[HTML](109) +[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](185) +[HTML](91) +[PDF](3625.43KB)
The optimal distribution of resources and rate of migration maximizing the population size in logistic model with identical migration
Xing Liang and Lei Zhang
2020doi: 10.3934/dcdsb.2020280 +[Abstract](181) +[HTML](90) +[PDF](307.64KB)
On predation effort allocation strategy over two patches
Chang-Yuan Cheng and Xingfu Zou
2020doi: 10.3934/dcdsb.2020281 +[Abstract](159) +[HTML](84) +[PDF](1536.49KB)
Nonlinear dynamics in tumor-immune system interaction models with delays
Shigui Ruan
2020doi: 10.3934/dcdsb.2020282 +[Abstract](208) +[HTML](95) +[PDF](1270.37KB)
Ecological and evolutionary dynamics in advective environments: Critical domain size and boundary conditions
Wenrui Hao, King-Yeung Lam and Yuan Lou
2020doi: 10.3934/dcdsb.2020283 +[Abstract](200) +[HTML](95) +[PDF](1289.78KB)
Modeling multiple taxis: Tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
Niklas Kolbe, Nikolaos Sfakianakis, Christian Stinner, Christina Surulescu and Jonas Lenz
2020doi: 10.3934/dcdsb.2020284 +[Abstract](232) +[HTML](103) +[PDF](9141.22KB)
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](160) +[HTML](70) +[PDF](3046.97KB)
Emergent behaviors of the generalized Lohe matrix model
Seung-Yeal Ha and Hansol Park
2020doi: 10.3934/dcdsb.2020286 +[Abstract](149) +[HTML](60) +[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](310) +[HTML](104) +[PDF](573.82KB)
Asymptotics in a two-species chemotaxis system with logistic source
Wenji Zhang and Pengcheng Niu
2020doi: 10.3934/dcdsb.2020288 +[Abstract](119) +[HTML](62) +[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](165) +[HTML](70) +[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](125) +[HTML](55) +[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](129) +[HTML](76) +[PDF](316.13KB)
Modulation approximation for the quantum Euler-Poisson equation
Dongfen Bian, Huimin Liu and Xueke Pu
2020doi: 10.3934/dcdsb.2020292 +[Abstract](126) +[HTML](62) +[PDF](456.23KB)
Bifurcations in an economic model with fractional degree
Shaowen Shi and Weinian Zhang
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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](161) +[HTML](65) +[PDF](467.23KB)
Bifurcation analysis of a general activator-inhibitor model with nonlocal dispersal
Xiaoli Wang and Guohong Zhang
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Lyapunov functions for disease models with immigration of infected hosts
Connell McCluskey
2020doi: 10.3934/dcdsb.2020296 +[Abstract](132) +[HTML](57) +[PDF](363.49KB)
Scattering and strong instability of the standing waves for dipolar quantum gases
Juan Huang
2020doi: 10.3934/dcdsb.2020297 +[Abstract](180) +[HTML](68) +[PDF](394.49KB)
The dynamics of a two host-two virus system in a chemostat environment
Sze-Bi Hsu and Yu Jin
2020doi: 10.3934/dcdsb.2020298 +[Abstract](157) +[HTML](64) +[PDF](848.5KB)
Guaranteed cost control of discrete-time switched saturated systems
Haijun Sun and Xinquan Zhang
2020doi: 10.3934/dcdsb.2020300 +[Abstract](136) +[HTML](60) +[PDF](362.43KB)
Periodic solutions of a tumor-immune system interaction under a periodic immunotherapy
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2020doi: 10.3934/dcdsb.2020301 +[Abstract](142) +[HTML](77) +[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](175) +[HTML](73) +[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](283) +[HTML](114) +[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](116) +[HTML](50) +[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](131) +[HTML](47) +[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](111) +[HTML](45) +[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](104) +[HTML](43) +[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](103) +[HTML](48) +[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](153) +[HTML](46) +[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
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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](134) +[HTML](58) +[PDF](8403.18KB)
Invasion dynamics of a diffusive pioneer-climax model: Monotone and non-monotone cases
Yuxiang Zhang and Shiwang Ma
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Propagation phenomena for a criss-cross infection model with non-diffusive susceptible population in periodic media
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2020doi: 10.3934/dcdsb.2020313 +[Abstract](108) +[HTML](44) +[PDF](417.32KB)
Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics
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2020doi: 10.3934/dcdsb.2020314 +[Abstract](111) +[HTML](49) +[PDF](436.93KB)
On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Peter Giesl
2020doi: 10.3934/dcdsb.2020315 +[Abstract](124) +[HTML](43) +[PDF](616.54KB)
Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model
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2020doi: 10.3934/dcdsb.2020316 +[Abstract](113) +[HTML](44) +[PDF](359.14KB)
A stochastic differential equation SIS epidemic model with regime switching
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On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise
Hoang The Tuan
2020doi: 10.3934/dcdsb.2020318 +[Abstract](205) +[HTML](42) +[PDF](282.83KB)
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](128) +[HTML](30) +[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](133) +[HTML](48) +[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](174) +[HTML](35) +[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](85) +[HTML](44) +[PDF](917.21KB)
Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations
Zhenzhen Wang and Tianshou Zhou
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Bifurcation analysis for an in-host Mycobacterium tuberculosis model
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On the semilinear fractional elliptic equations with singular weight functions
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