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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.

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Geometric method for global stability of discrete population models
Zhanyuan Hou
2020, 25(9) : 3305-3334 doi: 10.3934/dcdsb.2020063 +[Abstract](151) +[HTML](95) +[PDF](934.07KB)
Global existence and asymptotic behavior of solutions to a chemotaxis system with chemicals and prey-predator terms
Mihaela Negreanu
2020, 25(9) : 3335-3356 doi: 10.3934/dcdsb.2020064 +[Abstract](191) +[HTML](97) +[PDF](472.78KB)
Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations
Hong Lu, Ji Li and Mingji Zhang
2020, 25(9) : 3357-3371 doi: 10.3934/dcdsb.2020065 +[Abstract](150) +[HTML](79) +[PDF](453.42KB)
Dynamical behavior of a rotavirus disease model with two strains and homotypic protection
Kun Lu, Wendi Wang and Jianquan Li
2020, 25(9) : 3373-3391 doi: 10.3934/dcdsb.2020066 +[Abstract](158) +[HTML](88) +[PDF](534.93KB)
Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations
Manil T. Mohan
2020, 25(9) : 3393-3436 doi: 10.3934/dcdsb.2020067 +[Abstract](262) +[HTML](105) +[PDF](747.2KB)
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
Ling Liu, Jiashan Zheng and Gui Bao
2020, 25(9) : 3437-3460 doi: 10.3934/dcdsb.2020068 +[Abstract](168) +[HTML](96) +[PDF](591.55KB)
Double zero singularity and spatiotemporal patterns in a diffusive predator-prey model with nonlocal prey competition
Xun Cao and Weihua Jiang
2020, 25(9) : 3461-3489 doi: 10.3934/dcdsb.2020069 +[Abstract](193) +[HTML](96) +[PDF](1124.9KB)
Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China
Hongyong Zhao, Peng Wu and Shigui Ruan
2020, 25(9) : 3491-3521 doi: 10.3934/dcdsb.2020070 +[Abstract](199) +[HTML](98) +[PDF](2151.47KB)
Dynamics of a stage-structured population model with a state-dependent delay
Shangzhi Li and Shangjiang Guo
2020, 25(9) : 3523-3551 doi: 10.3934/dcdsb.2020071 +[Abstract](211) +[HTML](92) +[PDF](571.63KB)
Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise
Hong Lu and Mingji Zhang
2020, 25(9) : 3553-3576 doi: 10.3934/dcdsb.2020072 +[Abstract](163) +[HTML](90) +[PDF](511.92KB)
Singular renormalization group approach to SIS problems
Ning Sun, Shaoyun Shi and Wenlei Li
2020, 25(9) : 3577-3596 doi: 10.3934/dcdsb.2020073 +[Abstract](161) +[HTML](92) +[PDF](472.74KB)
Assignability of dichotomy spectra for discrete time-varying linear control systems
Le Viet Cuong and Thai Son Doan
2020, 25(9) : 3597-3607 doi: 10.3934/dcdsb.2020074 +[Abstract](187) +[HTML](89) +[PDF](351.69KB)
Influence of mutations in phenotypically-structured populations in time periodic environment
Cécile Carrère and Grégoire Nadin
2020, 25(9) : 3609-3630 doi: 10.3934/dcdsb.2020075 +[Abstract](357) +[HTML](257) +[PDF](564.29KB)
Approximating exit times of continuous Markov processes
Thomas Kruse and Mikhail Urusov
2020, 25(9) : 3631-3650 doi: 10.3934/dcdsb.2020076 +[Abstract](399) +[HTML](228) +[PDF](476.21KB)
Stability of delay differential equations with fading stochastic perturbations of the type of white noise and poisson's jumps
Leonid Shaikhet
2020, 25(9) : 3651-3657 doi: 10.3934/dcdsb.2020077 +[Abstract](408) +[HTML](230) +[PDF](149.57KB)
A note on a neuron network model with diffusion
Philippe Michel and Suman Kumar Tumuluri
2020, 25(9) : 3659-3676 doi: 10.3934/dcdsb.2020085 +[Abstract](222) +[HTML](146) +[PDF](407.97KB)
From approximate synchronization to identical synchronization in coupled systems
Chih-Wen Shih and Jui-Pin Tseng
2020, 25(9) : 3677-3714 doi: 10.3934/dcdsb.2020086 +[Abstract](221) +[HTML](150) +[PDF](970.2KB)
Local and global well-posedness in the energy space for the dissipative Zakharov-Kuznetsov equation in 3D
Mohamad Darwich
2020, 25(9) : 3715-3724 doi: 10.3934/dcdsb.2020087 +[Abstract](439) +[HTML](150) +[PDF](383.85KB)
Local orthogonal rectification: Deriving natural coordinates to study flows relative to manifolds
Benjamin Letson and Jonathan E. Rubin
2020, 25(9) : 3725-3747 doi: 10.3934/dcdsb.2020088 +[Abstract](202) +[HTML](136) +[PDF](1964.9KB)
A second order accuracy in time, Fourier pseudo-spectral numerical scheme for "Good" Boussinesq equation
Zeyu Xia and Xiaofeng Yang
2020, 25(9) : 3749-3768 doi: 10.3934/dcdsb.2020089 +[Abstract](237) +[HTML](133) +[PDF](437.55KB)
On the 1D modeling of fluid flowing through a Junction
Rinaldo M. Colombo and Mauro Garavello
2019doi: 10.3934/dcdsb.2019149 +[Abstract](1086) +[HTML](551) +[PDF](537.93KB)
Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
Yoshikazu Giga, Hiroyoshi Mitake and Hung V. Tran
2019doi: 10.3934/dcdsb.2019228 +[Abstract](1064) +[HTML](400) +[PDF](337.84KB)
Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth
Sun-Sig Byun, Yumi Cho and Shuang Liang
2020doi: 10.3934/dcdsb.2020038 +[Abstract](414) +[HTML](240) +[PDF](355.23KB)
Hexagonal spike clusters for some PDE's in 2D
Theodore Kolokolnikov and Juncheng Wei
2020doi: 10.3934/dcdsb.2020039 +[Abstract](291) +[HTML](203) +[PDF](675.69KB)
Recent developments on a singular predator-prey model
Yu-Shuo Chen, Jong-Shenq Guo and Masahiko Shimojo
2020doi: 10.3934/dcdsb.2020040 +[Abstract](393) +[HTML](200) +[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](419) +[HTML](248) +[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](468) +[HTML](222) +[PDF](701.25KB)
Estimating the division rate from indirect measurements of single cells
Marie Doumic, Adélaïde Olivier and Lydia Robert
2020doi: 10.3934/dcdsb.2020078 +[Abstract](354) +[HTML](223) +[PDF](3310.79KB)
Generalized solutions to models of inviscid fluids
Dominic Breit, Eduard Feireisl and Martina Hofmanová
2020doi: 10.3934/dcdsb.2020079 +[Abstract](384) +[HTML](246) +[PDF](368.8KB)
Exact controllability of the linear Zakharov-Kuznetsov equation
Mo Chen and Lionel Rosier
2020doi: 10.3934/dcdsb.2020080 +[Abstract](387) +[HTML](233) +[PDF](419.27KB)
A spatially heterogeneous predator-prey model
Julián López-Gómez and Eduardo Muñoz-Hernández
2020doi: 10.3934/dcdsb.2020081 +[Abstract](547) +[HTML](314) +[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](386) +[HTML](232) +[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](420) +[HTML](227) +[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](483) +[HTML](240) +[PDF](443.97KB)
Analysis of nanofluid flow past a permeable stretching/shrinking sheet
Joseph E. Paullet and Joseph P. Previte
2020doi: 10.3934/dcdsb.2020090 +[Abstract](187) +[HTML](138) +[PDF](295.62KB)
Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case
Eva Stadler and Johannes Müller
2020doi: 10.3934/dcdsb.2020091 +[Abstract](223) +[HTML](133) +[PDF](636.62KB)
Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model
Georges Chamoun, Moustafa Ibrahim, Mazen Saad and Raafat Talhouk
2020doi: 10.3934/dcdsb.2020092 +[Abstract](245) +[HTML](171) +[PDF](5480.97KB)
Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment
Rong Zou and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020093 +[Abstract](246) +[HTML](134) +[PDF](440.63KB)
A note on global stability in the periodic logistic map
Rafael Luís and Sandra Mendonça
2020doi: 10.3934/dcdsb.2020094 +[Abstract](220) +[HTML](136) +[PDF](3688.7KB)
Fractional approximations of abstract semilinear parabolic problems
Flank D. M. Bezerra, Alexandre N. Carvalho and Marcelo J. D. Nascimento
2020doi: 10.3934/dcdsb.2020095 +[Abstract](245) +[HTML](136) +[PDF](554.3KB)
Extension, embedding and global stability in two dimensional monotone maps
Ahmad Al-Salman, Ziyad AlSharawi and Sadok Kallel
2020doi: 10.3934/dcdsb.2020096 +[Abstract](217) +[HTML](133) +[PDF](510.18KB)
On global large energy solutions to the viscous shallow water equations
Xiaoping Zhai and Hailong Ye
2020doi: 10.3934/dcdsb.2020097 +[Abstract](206) +[HTML](132) +[PDF](443.79KB)
On the approaching time towards the attractor of differential equations perturbed by small noise
Isabell Vorkastner
2020doi: 10.3934/dcdsb.2020098 +[Abstract](189) +[HTML](128) +[PDF](782.69KB)
Global strong solution to the two dimensional nonhomogeneous incompressible heat conducting Navier-Stokes flows with vacuum
Yongfu Wang
2020doi: 10.3934/dcdsb.2020099 +[Abstract](224) +[HTML](129) +[PDF](377.04KB)
Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations
Dandan Ma, Ji Shu and Ling Qin
2020doi: 10.3934/dcdsb.2020100 +[Abstract](313) +[HTML](142) +[PDF](562.32KB)
Positive periodic solution for generalized Basener-Ross model
Zhibo Cheng and Xiaoxiao Cui
2020doi: 10.3934/dcdsb.2020101 +[Abstract](212) +[HTML](124) +[PDF](409.43KB)
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
Genglin Li, Youshan Tao and Michael Winkler
2020doi: 10.3934/dcdsb.2020102 +[Abstract](230) +[HTML](139) +[PDF](400.37KB)
Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition
Jiayue Zheng and Shangbin Cui
2020doi: 10.3934/dcdsb.2020103 +[Abstract](231) +[HTML](143) +[PDF](456.92KB)
Modelling fungal competition for space:Towards prediction of community dynamics
Diogenis A. Kiziridis, Mike S. Fowler and Chenggui Yuan
2020doi: 10.3934/dcdsb.2020104 +[Abstract](250) +[HTML](172) +[PDF](3170.04KB)
Kink solitary solutions to a hepatitis C evolution model
Tadas Telksnys, Zenonas Navickas, Miguel A. F. Sanjuán, Romas Marcinkevicius and Minvydas Ragulskis
2020doi: 10.3934/dcdsb.2020106 +[Abstract](239) +[HTML](156) +[PDF](1404.42KB)
Mathematical analysis of an age structured heroin-cocaine epidemic model
Abdennasser Chekroun, Mohammed Nor Frioui, Toshikazu Kuniya and Tarik Mohammed Touaoula
2020doi: 10.3934/dcdsb.2020107 +[Abstract](288) +[HTML](144) +[PDF](637.63KB)
Spreading speeds for a class of non-local convolution differential equation
Zhaoquan Xu and Chufen Wu
2020doi: 10.3934/dcdsb.2020108 +[Abstract](246) +[HTML](133) +[PDF](344.19KB)
Almost sure exponential stabilization and suppression by periodically intermittent stochastic perturbation with jumps
Wensheng Yin and Jinde Cao
2020doi: 10.3934/dcdsb.2020109 +[Abstract](311) +[HTML](159) +[PDF](689.21KB)
A new blowup criterion for strong solutions of the compressible nematic liquid crystal flow
Sili Liu, Xinhua Zhao and Yingshan Chen
2020doi: 10.3934/dcdsb.2020110 +[Abstract](223) +[HTML](149) +[PDF](356.09KB)
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
2020doi: 10.3934/dcdsb.2020111 +[Abstract](242) +[HTML](148) +[PDF](665.07KB)
Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations
Vladimir Angulo-Castillo and Lucas C. F. Ferreira
2020doi: 10.3934/dcdsb.2020112 +[Abstract](224) +[HTML](144) +[PDF](402.31KB)
Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation
Yong-Guo Shi
2020doi: 10.3934/dcdsb.2020113 +[Abstract](213) +[HTML](143) +[PDF](320.55KB)
A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
Liangchen Wang and Chunlai Mu
2020doi: 10.3934/dcdsb.2020114 +[Abstract](238) +[HTML](156) +[PDF](418.89KB)
A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum
Xin Zhong
2020doi: 10.3934/dcdsb.2020115 +[Abstract](222) +[HTML](138) +[PDF](330.13KB)
Uniform attractors of stochastic two-compartment Gray-Scott system with multiplicative noise
Junwei Feng, Hui Liu and Jie Xin
2020doi: 10.3934/dcdsb.2020116 +[Abstract](227) +[HTML](131) +[PDF](391.38KB)
Bifurcation analysis and dynamic behavior to a predator-prey model with Beddington-DeAngelis functional response and protection zone
Xiao He and Sining Zheng
2020doi: 10.3934/dcdsb.2020117 +[Abstract](265) +[HTML](141) +[PDF](324.82KB)
A delayed differential equation model for mosquito population suppression with sterile mosquitoes
Yuanxian Hui, Genghong Lin, Jianshe Yu and Jia Li
2020doi: 10.3934/dcdsb.2020118 +[Abstract](337) +[HTML](173) +[PDF](563.25KB)
Effects of travel frequency on the persistence of mosquito-borne diseases
Xianyun Chen and Daozhou Gao
2020doi: 10.3934/dcdsb.2020119 +[Abstract](260) +[HTML](143) +[PDF](1161.82KB)
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation
Frederic Heihoff
2020doi: 10.3934/dcdsb.2020120 +[Abstract](442) +[HTML](143) +[PDF](416.62KB)
Free boundary problems with nonlocal and local diffusions Ⅱ: Spreading-vanishing and long-time behavior
Jianping Wang and Mingxin Wang
2020doi: 10.3934/dcdsb.2020121 +[Abstract](263) +[HTML](150) +[PDF](362.32KB)
Periodic solutions for SDEs through upper and lower solutions
Chunyan Ji, Xue Yang and Yong Li
2020doi: 10.3934/dcdsb.2020122 +[Abstract](258) +[HTML](139) +[PDF](397.99KB)
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
2020doi: 10.3934/dcdsb.2020123 +[Abstract](282) +[HTML](133) +[PDF](2112.0KB)
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
2020doi: 10.3934/dcdsb.2020126 +[Abstract](185) +[HTML](117) +[PDF](529.69KB)
Small time asymptotics for SPDEs with locally monotone coefficients
Shihu Li, Wei Liu and Yingchao Xie
2020doi: 10.3934/dcdsb.2020127 +[Abstract](267) +[HTML](105) +[PDF](383.7KB)
A new weak solution to an optimal stopping problem
Cong Qin and Xinfu Chen
2020doi: 10.3934/dcdsb.2020128 +[Abstract](145) +[HTML](98) +[PDF](328.73KB)
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
2020doi: 10.3934/dcdsb.2020129 +[Abstract](202) +[HTML](100) +[PDF](331.53KB)
Using automatic differentiation to compute periodic orbits of delay differential equations
Joan Gimeno and Àngel Jorba
2020doi: 10.3934/dcdsb.2020130 +[Abstract](159) +[HTML](126) +[PDF](766.52KB)
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
2020doi: 10.3934/dcdsb.2020131 +[Abstract](243) +[HTML](123) +[PDF](5305.24KB)
Numerical investigation of ensemble methods with block iterative solvers for evolution problems
Lili Ju, Wei Leng, Zhu Wang and Shuai Yuan
2020doi: 10.3934/dcdsb.2020132 +[Abstract](203) +[HTML](107) +[PDF](7054.03KB)
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](248) +[HTML](119) +[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](182) +[HTML](98) +[PDF](374.33KB)
Classical Langevin dynamics derived from quantum mechanics
Håkon Hoel and Anders Szepessy
2020doi: 10.3934/dcdsb.2020135 +[Abstract](185) +[HTML](102) +[PDF](994.05KB)
Null controllability of one dimensional degenerate parabolic equations with first order terms
J. Carmelo Flores and Luz De Teresa
2020doi: 10.3934/dcdsb.2020136 +[Abstract](169) +[HTML](101) +[PDF](332.59KB)
Ergodic boundary and point control for linear stochastic PDEs driven by a cylindrical Lévy process
Karel Kadlec and Bohdan Maslowski
2020doi: 10.3934/dcdsb.2020137 +[Abstract](167) +[HTML](104) +[PDF](360.09KB)
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](223) +[HTML](153) +[PDF](1035.92KB)
Global optimization-based dimer method for finding saddle points
Bing Yu and Lei Zhang
2020doi: 10.3934/dcdsb.2020139 +[Abstract](211) +[HTML](137) +[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](200) +[HTML](102) +[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](198) +[HTML](121) +[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](173) +[HTML](74) +[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](138) +[HTML](83) +[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](139) +[HTML](78) +[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](126) +[HTML](82) +[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](131) +[HTML](81) +[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](145) +[HTML](73) +[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](208) +[HTML](90) +[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](312) +[HTML](81) +[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](139) +[HTML](70) +[PDF](372.15KB)
Time scale-induced asynchronous discrete dynamical systems
Stefan Siegmund and Petr Stehlík
2020doi: 10.3934/dcdsb.2020151 +[Abstract](148) +[HTML](86) +[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](169) +[HTML](88) +[PDF](450.22KB)
Boundary dynamics of the replicator equations for neutral models of cyclic dominance
Eric Foxall
2020doi: 10.3934/dcdsb.2020153 +[Abstract](122) +[HTML](79) +[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](148) +[HTML](87) +[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](236) +[HTML](101) +[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](208) +[HTML](91) +[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](152) +[HTML](79) +[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](124) +[HTML](89) +[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](213) +[HTML](77) +[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](146) +[HTML](83) +[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](141) +[HTML](81) +[PDF](443.0KB)
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
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