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DCDS-B Flyer: showing all essential information of the journal.
Centered around dynamics, Discrete and Continuous Dynamical Systems - Series B (DCDS-B) is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing high quality research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.


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Semigroup property of fractional differential operators and its applications
Nguyen Dinh Cong
2023, 28(1) : 1-19 doi: 10.3934/dcdsb.2022064 +[Abstract](339) +[HTML](106) +[PDF](430.12KB)
Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations
Zehan Lin, Chongbin Xu, Caidi Zhao and Chujin Li
2023, 28(1) : 20-49 doi: 10.3934/dcdsb.2022065 +[Abstract](360) +[HTML](186) +[PDF](630.74KB)
A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems
Jiantao Jiang, Jing An and Jianwei Zhou
2023, 28(1) : 50-69 doi: 10.3934/dcdsb.2022066 +[Abstract](865) +[HTML](220) +[PDF](1268.27KB)
Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models
Huizi Yang, Zhanwen Yang and Shengqiang Liu
2023, 28(1) : 70-92 doi: 10.3934/dcdsb.2022067 +[Abstract](346) +[HTML](173) +[PDF](1846.29KB)
Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations
Bashar Khorbatly
2023, 28(1) : 93-133 doi: 10.3934/dcdsb.2022068 +[Abstract](336) +[HTML](98) +[PDF](776.95KB)
Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China
Yantao Luo, Zhidong Teng and Xiao-Qiang Zhao
2023, 28(1) : 134-169 doi: 10.3934/dcdsb.2022069 +[Abstract](698) +[HTML](122) +[PDF](1202.44KB)
Positive periodic solutions for systems of impulsive delay differential equations
Teresa Faria and Rubén Figueroa
2023, 28(1) : 170-196 doi: 10.3934/dcdsb.2022070 +[Abstract](302) +[HTML](114) +[PDF](612.64KB)
Global boundedness in a quasilinear two-species attraction-repulsion chemotaxis system with two chemicals
Miaoqing Tian, Shujuan Wang and Xia Xiao
2023, 28(1) : 197-208 doi: 10.3934/dcdsb.2022071 +[Abstract](380) +[HTML](108) +[PDF](456.75KB)
A Markovian switching diffusion for an SIS model incorporating Lévy processes
A. Settati, A. Lahrouz, Mohamed El Fatini, A. El Haitami, M. El Jarroudi and M. Erriani
2023, 28(1) : 209-229 doi: 10.3934/dcdsb.2022072 +[Abstract](602) +[HTML](241) +[PDF](589.71KB)
Using normal forms to study Oterma's transition in the Planar RTBP
Gladston Duarte and Àngel Jorba
2023, 28(1) : 230-244 doi: 10.3934/dcdsb.2022073 +[Abstract](330) +[HTML](251) +[PDF](695.57KB)
On the convergence of the Crank-Nicolson method for the logarithmic Schrödinger equation
Panagiotis Paraschis and Georgios E. Zouraris
2023, 28(1) : 245-261 doi: 10.3934/dcdsb.2022074 +[Abstract](409) +[HTML](138) +[PDF](620.56KB)
Finite-time blow-up in a quasilinear degenerate parabolic–elliptic chemotaxis system with logistic source and nonlinear production
Yuya Tanaka and Tomomi Yokota
2023, 28(1) : 262-286 doi: 10.3934/dcdsb.2022075 +[Abstract](337) +[HTML](144) +[PDF](542.44KB)
Nonlocal dispersal equations in domains becoming unbounded
Jian-Wen Sun
2023, 28(1) : 287-293 doi: 10.3934/dcdsb.2022076 +[Abstract](271) +[HTML](93) +[PDF](309.07KB)
Stationary distribution, extinction, density function and periodicity of an n-species competition system with infinite distributed delays and nonlinear perturbations
Baoquan Zhou and Yucong Dai
2023, 28(1) : 294-346 doi: 10.3934/dcdsb.2022078 +[Abstract](362) +[HTML](226) +[PDF](1341.36KB)
New well-posedness results for stochastic delay Rayleigh-Stokes equations
Nguyen Huy Tuan, Nguyen Duc Phuong and Tran Ngoc Thach
2023, 28(1) : 347-358 doi: 10.3934/dcdsb.2022079 +[Abstract](358) +[HTML](111) +[PDF](419.5KB)
Space-time spectral methods for a fourth-order parabolic optimal control problem in three control constraint cases
Zhen-Zhen Tao and Bing Sun
2023, 28(1) : 359-384 doi: 10.3934/dcdsb.2022080 +[Abstract](435) +[HTML](212) +[PDF](572.35KB)
Upper semi-continuity of non-autonomous fractional stochastic $ p $-Laplacian equation driven by additive noise on $ \mathbb{R}^n $
Xiaohui Zhang and Xuping Zhang
2023, 28(1) : 385-407 doi: 10.3934/dcdsb.2022081 +[Abstract](452) +[HTML](94) +[PDF](497.07KB)
Hopf bifurcation for a predator-prey model with age structure and ratio-dependent response function incorporating a prey refuge
Tongtong Chen and Jixun Chu
2023, 28(1) : 408-425 doi: 10.3934/dcdsb.2022082 +[Abstract](311) +[HTML](82) +[PDF](1277.97KB)
Structure of non-autonomous attractors for a class of diffusively coupled ODE
Alexandre N. Carvalho, Luciano R. N. Rocha, José A. Langa and Rafael Obaya
2023, 28(1) : 426-448 doi: 10.3934/dcdsb.2022083 +[Abstract](385) +[HTML](116) +[PDF](1379.96KB)
A non-intrusive model order reduction approach for parameterized time-domain Maxwell's equations
Kun Li, Ting-Zhu Huang, Liang Li, Ying Zhao and Stéphane Lanteri
2023, 28(1) : 449-473 doi: 10.3934/dcdsb.2022084 +[Abstract](276) +[HTML](162) +[PDF](6122.1KB)
Free boundary problems for the local-nonlocal diffusive model with different moving parameters
Heting Zhang, Lei Li and Mingxin Wang
2023, 28(1) : 474-498 doi: 10.3934/dcdsb.2022085 +[Abstract](391) +[HTML](82) +[PDF](506.54KB)
Smoluchowski–Kramers approximation with state dependent damping and highly random oscillation
Yan Lv and Wei Wang
2023, 28(1) : 499-515 doi: 10.3934/dcdsb.2022086 +[Abstract](262) +[HTML](220) +[PDF](370.5KB)
Asymptotically autonomous dynamics for non-autonomous stochastic $ g $-Navier-Stokes equation with additive noise
Fuzhi Li and Dongmei Xu
2023, 28(1) : 516-537 doi: 10.3934/dcdsb.2022087 +[Abstract](267) +[HTML](205) +[PDF](514.71KB)
On the fractional chemotaxis Navier-Stokes system in the critical spaces
Joelma Azevedo, Claudio Cuevas, Jarbas Dantas and Clessius Silva
2023, 28(1) : 538-559 doi: 10.3934/dcdsb.2022088 +[Abstract](336) +[HTML](85) +[PDF](542.14KB)
Nonlocal biharmonic evolution equations with Dirichlet and Navier boundary conditions
Kehan Shi and Ying Wen
2023, 28(1) : 560-579 doi: 10.3934/dcdsb.2022089 +[Abstract](282) +[HTML](87) +[PDF](421.89KB)
On the asymptotic stability of a Bresse system with two fractional damping terms: Theoretical and numerical analysis
Toufik Bentrcia and Abdelaziz Mennouni
2023, 28(1) : 580-622 doi: 10.3934/dcdsb.2022090 +[Abstract](563) +[HTML](225) +[PDF](2570.01KB)
Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow
Shu Wang and Yixuan Zhao
2023, 28(1) : 623-647 doi: 10.3934/dcdsb.2022091 +[Abstract](265) +[HTML](230) +[PDF](516.29KB)
Boundary preserving explicit scheme for the Aït-Sahalia mode
Nikolaos Halidias and Ioannis S. Stamatiou
2023, 28(1) : 648-664 doi: 10.3934/dcdsb.2022092 +[Abstract](301) +[HTML](85) +[PDF](1086.71KB)
Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on $ \mathbb{R}^n $
Jianing Chen and Bixiang Wang
2023, 28(1) : 665-689 doi: 10.3934/dcdsb.2022093 +[Abstract](281) +[HTML](76) +[PDF](615.26KB)
Bifurcation and overexploitation in Rosenzweig-MacArthur model
Xiaoqing Lin, Yancong Xu, Daozhou Gao and Guihong Fan
2023, 28(1) : 690-706 doi: 10.3934/dcdsb.2022094 +[Abstract](270) +[HTML](74) +[PDF](1327.48KB)
Quantify uncertainty by estimating the probability density function of the output of interest using MLMC based Bayes method
Meixin Xiong, Liuhong Chen and Ju Ming
2023, 28(1) : 707-721 doi: 10.3934/dcdsb.2022095 +[Abstract](225) +[HTML](84) +[PDF](797.7KB)
Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case
Guangyu Xu
2023, 28(1) : 722-747 doi: 10.3934/dcdsb.2022096 +[Abstract](304) +[HTML](67) +[PDF](627.44KB)
Permutation binary neural networks: Analysis of periodic orbits and its applications
Hotaka Udagawa, Taiji Okano and Toshimichi Saito
2023, 28(1) : 748-764 doi: 10.3934/dcdsb.2022097 +[Abstract](509) +[HTML](118) +[PDF](3477.34KB)
Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation
Chuchu Chen, Jialin Hong and Yulan Lu
2023, 28(1) : 765-807 doi: 10.3934/dcdsb.2022098 +[Abstract](238) +[HTML](72) +[PDF](799.55KB)
Delay-dependent flocking dynamics of a two-group coupling system
Maoli Chen, Yicheng Liu and Xiao Wang
2023, 28(1) : 808-832 doi: 10.3934/dcdsb.2022099 +[Abstract](221) +[HTML](196) +[PDF](2094.67KB)
Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models
Kamruzzaman Khan, Timothy M. Schaerf and Yihong Du
2022doi: 10.3934/dcdsb.2022077 +[Abstract](283) +[HTML](218) +[PDF](14578.12KB)
Model of vehicle interactions with autonomous cars and its properties
Michael Herty, Gabriella Puppo and Giuseppe Visconti
2022doi: 10.3934/dcdsb.2022100 +[Abstract](163) +[HTML](68) +[PDF](415.02KB)
Periodic waves for the cubic-quintic nonlinear Schrodinger equation: Existence and orbital stability
Giovana Alves and Fábio Natali
2022doi: 10.3934/dcdsb.2022101 +[Abstract](199) +[HTML](73) +[PDF](388.93KB)
Global well-posedness to the nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum
Xin Zhong
2022doi: 10.3934/dcdsb.2022102 +[Abstract](327) +[HTML](73) +[PDF](453.5KB)
Global attractor for a partly dissipative reaction-diffusion system with discontinuous nonlinearity
Jia-Cheng Zhao and Zhong-Xin Ma
2022doi: 10.3934/dcdsb.2022103 +[Abstract](185) +[HTML](82) +[PDF](475.68KB)
Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition
Yuan-Yuan Zhou
2022doi: 10.3934/dcdsb.2022104 +[Abstract](156) +[HTML](69) +[PDF](298.75KB)
Stability in the energy space of the sum of $ N $ solitary waves for an equation modelling shallow water waves of moderate amplitude
Xingxing Liu
2022doi: 10.3934/dcdsb.2022105 +[Abstract](187) +[HTML](60) +[PDF](337.72KB)
Time reversal of surface plasmons
Olivier Pinaud
2022doi: 10.3934/dcdsb.2022106 +[Abstract](155) +[HTML](66) +[PDF](1288.54KB)
Asymptotic behavior of solutions to coupled semilinear parabolic equations with general degenerate diffusion coefficients
Xinxin Jing, Yuanyuan Nie and Chunpeng Wang
2022doi: 10.3934/dcdsb.2022107 +[Abstract](231) +[HTML](194) +[PDF](354.62KB)
Spreading speed in a non-monotonic Ricker competitive integrodifference system
Guo Lin and Yahui Wang
2022doi: 10.3934/dcdsb.2022108 +[Abstract](204) +[HTML](74) +[PDF](1090.39KB)
Double phase obstacle problems with multivalued convection and mixed boundary value conditions
Shengda Zeng, Vicenţiu D. Rădulescu and Patrick Winkert
2022doi: 10.3934/dcdsb.2022109 +[Abstract](225) +[HTML](68) +[PDF](536.79KB)
Modelling Trypanosoma cruzi-Trypanosoma rangeli co-infection and pathogenic effect on Chagas disease spread
Xiaotian Wu, Daozhou Gao, Zilong Song and Jianhong Wu
2022doi: 10.3934/dcdsb.2022110 +[Abstract](174) +[HTML](102) +[PDF](553.18KB)
Global existence and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with inverse-square potential
Jinmyong An, Roesong Jang and Jinmyong Kim
2022doi: 10.3934/dcdsb.2022111 +[Abstract](187) +[HTML](72) +[PDF](407.82KB)
Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well
Jin-Cai Kang, Xiao-Qi Liu and Chun-Lei Tang
2022doi: 10.3934/dcdsb.2022112 +[Abstract](375) +[HTML](58) +[PDF](428.91KB)
Wong-Zakai approximations of stochastic lattice systems driven by long-range interactions and multiplicative white noises
Yiju Chen, Xiaohu Wang and Kenan Wu
2022doi: 10.3934/dcdsb.2022113 +[Abstract](271) +[HTML](72) +[PDF](372.49KB)
Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations
Yu Ichida
2022doi: 10.3934/dcdsb.2022114 +[Abstract](176) +[HTML](71) +[PDF](347.88KB)
Global attractor for the periodic generalized Korteweg-De Vries equation through smoothing
Ryan McConnell
2022doi: 10.3934/dcdsb.2022115 +[Abstract](189) +[HTML](90) +[PDF](447.06KB)
Spatial dynamics of an epidemic model in time almost periodic and space periodic media
Ming-Zhen Xin and Bin-Guo Wang
2022doi: 10.3934/dcdsb.2022116 +[Abstract](357) +[HTML](74) +[PDF](914.22KB)
Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations
Nancy Khalil, David Iron and Theodore Kolokolnikov
2022doi: 10.3934/dcdsb.2022117 +[Abstract](219) +[HTML](95) +[PDF](642.62KB)
Global boundedness and asymptotic behavior of solutions for a quasilinear chemotaxis model of multiple sclerosis with nonlinear signal secretion
Lu Xu, Chunlai Mu and Qiao Xin
2022doi: 10.3934/dcdsb.2022118 +[Abstract](176) +[HTML](74) +[PDF](458.1KB)
On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations
Guangying Lv, Hongjun Gao, Jinlong Wei and Jiang-Lun Wu
2022doi: 10.3934/dcdsb.2022119 +[Abstract](195) +[HTML](81) +[PDF](433.28KB)
Confining integro-differential equations originating from evolutionary biology: Ground states and long time dynamics
Matthieu Alfaro, Pierre Gabriel and Otared Kavian
2022doi: 10.3934/dcdsb.2022120 +[Abstract](131) +[HTML](59) +[PDF](468.98KB)
Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation
Wenji Zhang
2022doi: 10.3934/dcdsb.2022121 +[Abstract](161) +[HTML](60) +[PDF](366.92KB)
Geometric singular perturbation of a nonlocal partially degenerate model for Aedes aegypti
Kai Wang, Hongyong Zhao and Hao Wang
2022doi: 10.3934/dcdsb.2022122 +[Abstract](395) +[HTML](117) +[PDF](2996.81KB)
Periodic solutions in distribution of stochastic lattice differential equations
Xinping Zhou, Yong Li and Xiaomeng Jiang
2022doi: 10.3934/dcdsb.2022123 +[Abstract](180) +[HTML](64) +[PDF](348.66KB)
Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem
Baiju Zhang and Zhimin Zhang
2022doi: 10.3934/dcdsb.2022124 +[Abstract](161) +[HTML](76) +[PDF](542.58KB)
Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential
Leijin Cao
2022doi: 10.3934/dcdsb.2022125 +[Abstract](205) +[HTML](58) +[PDF](420.68KB)
An adaptive finite element method for the elastic transmission eigenvalue problem
Xuqing Zhang, Jiayu Han and Yidu Yang
2022doi: 10.3934/dcdsb.2022126 +[Abstract](144) +[HTML](186) +[PDF](774.83KB)
Studying the fear effect in a predator-prey system with apparent competition
Xiaoying Wang and Alexander Smit
2022doi: 10.3934/dcdsb.2022127 +[Abstract](150) +[HTML](129) +[PDF](5523.75KB)
Diffusive size-structured population model with time-varying diffusion rate
Manoj Kumar and Syed Abbas
2022doi: 10.3934/dcdsb.2022128 +[Abstract](222) +[HTML](64) +[PDF](4042.77KB)
The threshold value of the number of hospital beds in a SEIHR epidemic model
Yuanyuan Yu, Hui Wan and Huaiping Zhu
2022doi: 10.3934/dcdsb.2022129 +[Abstract](195) +[HTML](151) +[PDF](1681.45KB)
Characterizing the existence of positive periodic solutions in the weighted periodic-parabolic degenerate logistic equation
David Aleja, Inmaculada Antón and Julián López-Gómez
2022doi: 10.3934/dcdsb.2022130 +[Abstract](142) +[HTML](55) +[PDF](273.21KB)
Disease transmission dynamics of an epidemiological predator-prey system in open advective environments
Shuai Li, Sanling Yuan and Hao Wang
2022doi: 10.3934/dcdsb.2022131 +[Abstract](244) +[HTML](243) +[PDF](790.51KB)
Limit cycles in a switching Liénard system
Xiangyu Wang and Laigang Guo
2022doi: 10.3934/dcdsb.2022132 +[Abstract](132) +[HTML](63) +[PDF](336.76KB)
A note on the control and stabilization of a higher-order water wave model
George Bautista and Ademir Pazoto
2022doi: 10.3934/dcdsb.2022133 +[Abstract](151) +[HTML](61) +[PDF](375.36KB)
The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field
Weifeng Jiang, Tingting Chen, Tong Li and Zhen Wang
2022doi: 10.3934/dcdsb.2022134 +[Abstract](188) +[HTML](172) +[PDF](403.51KB)
Input-to-state stable synchronization for delayed Lurie systems via sampled-data control
Ling He, Wenhuang Wu, Jianping Zhou and Guangshun Yao
2022doi: 10.3934/dcdsb.2022135 +[Abstract](197) +[HTML](64) +[PDF](1515.31KB)
Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction
Yoshihisa Morita, Ken-Ichi Nakamura and Toshiko Ogiwara
2022doi: 10.3934/dcdsb.2022136 +[Abstract](173) +[HTML](67) +[PDF](557.81KB)
Conditions for $L^2$-dissipativity of an explicit symmetric finite-difference scheme for linearized 2d and 3d gas dynamics equations with a regularization
Alexander Zlotnik
2022doi: 10.3934/dcdsb.2022137 +[Abstract](110) +[HTML](50) +[PDF](395.99KB)
Threshold dynamics and finite-time stability of reaction-diffusion vegetation-water systems in arid area with time-varying delay
Zixiao Xiong, Xining Li and Qimin Zhang
2022doi: 10.3934/dcdsb.2022138 +[Abstract](112) +[HTML](69) +[PDF](1447.53KB)
Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries
Peicheng Zhu, Lei Yu and Yang Xiang
2022doi: 10.3934/dcdsb.2022139 +[Abstract](109) +[HTML](97) +[PDF](459.02KB)
Destabilising nonnormal stochastic differential equations
Raffaele D'Ambrosio, Nicola Guglielmi and Carmela Scalone
2022doi: 10.3934/dcdsb.2022140 +[Abstract](99) +[HTML](51) +[PDF](301.49KB)
Stability and Hopf bifurcation in an age-structured SIR epidemic model with relapse
Dandan Sun, Yingke Li, Zhidong Teng and Tailei Zhang
2022doi: 10.3934/dcdsb.2022141 +[Abstract](154) +[HTML](171) +[PDF](1228.92KB)
Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains
Min Liang and Yaobin Ou
2022doi: 10.3934/dcdsb.2022142 +[Abstract](172) +[HTML](58) +[PDF](339.27KB)
Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems
Yida Ding, Abhishek Deshpande and Gheorghe Craciun
2022doi: 10.3934/dcdsb.2022143 +[Abstract](102) +[HTML](50) +[PDF](841.5KB)
Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation
Oskar A. Sultanov
2022doi: 10.3934/dcdsb.2022144 +[Abstract](117) +[HTML](54) +[PDF](47182.0KB)
Travelling wave of stochastic Lotka-Volterra competitive system
Hao Wen, Jianhua Huang and Liang Zhang
2022doi: 10.3934/dcdsb.2022145 +[Abstract](115) +[HTML](57) +[PDF](336.38KB)
Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity
Chen Li, Jiang Liu and Zengji Du
2022doi: 10.3934/dcdsb.2022146 +[Abstract](152) +[HTML](59) +[PDF](327.6KB)
Stability analysis of some neutral delay-differential equations with a frequency-domain approach
Franco S. Gentile, Griselda R. Itovich and Jorge L. Moiola
2022doi: 10.3934/dcdsb.2022147 +[Abstract](139) +[HTML](54) +[PDF](1949.07KB)
Bistable traveling waves in a delayed competitive system
Shuxia Pan and Shengnan Hao
2022doi: 10.3934/dcdsb.2022148 +[Abstract](169) +[HTML](52) +[PDF](1049.97KB)
A three-dimensional angiogenesis model with time-delay
Xiaohong Zhang, Bei Hu and Zhengce Zhang
2022doi: 10.3934/dcdsb.2022149 +[Abstract](150) +[HTML](75) +[PDF](510.13KB)
Asymptotic behavior of solutions for hyperbolic equations with time-dependent memory kernels
Xinyu Mei and Kaixuan Zhu
2022doi: 10.3934/dcdsb.2022150 +[Abstract](139) +[HTML](56) +[PDF](476.34KB)
Uniform in time $ L^\infty $-estimates for an attraction-repulsion chemotaxis model with double saturation
Silvia Frassu, Rafael Rodríguez Galván and Giuseppe Viglialoro
2022doi: 10.3934/dcdsb.2022151 +[Abstract](87) +[HTML](83) +[PDF](2697.84KB)
Effect of diffusion on a consumer-resource system with source-sink patches
Fei Yu, Weiting Song and Yuanshi Wang
2022doi: 10.3934/dcdsb.2022152 +[Abstract](96) +[HTML](102) +[PDF](533.68KB)
Bifurcation analysis of a predator-prey model with strong Allee effect and Beddington-DeAngelis functional response
Biruk Tafesse Mulugeta, Liping Yu, Qigang Yuan and Jingli Ren
2022doi: 10.3934/dcdsb.2022153 +[Abstract](197) +[HTML](113) +[PDF](24741.67KB)
A tumor growth model with autophagy: The reaction-(cross-)diffusion system and its free boundary limit
Xu'an Dou, Jian-Guo Liu and Zhennan Zhou
2022doi: 10.3934/dcdsb.2022154 +[Abstract](223) +[HTML](48) +[PDF](1092.49KB)
Global Dynamics of the model of tumor-immune interaction
Zecen He and Yulin Zhao
2022doi: 10.3934/dcdsb.2022155 +[Abstract](625) +[HTML](72) +[PDF](22742.53KB)
Spreading speed for an epidemic system modelling plant disease with adaptation
Arnaud Ducrot, David Manceau and Ahmadou Sylla
2022doi: 10.3934/dcdsb.2022156 +[Abstract](206) +[HTML](45) +[PDF](415.34KB)
Global attractors for a class of degenerate parabolic equations with memory
Shan Ma and Bo You
2022doi: 10.3934/dcdsb.2022157 +[Abstract](75) +[HTML](37) +[PDF](400.24KB)
Lagrangian approach to global well-posedness of viscous incompressible MHD equations
Caifeng Liu
2022doi: 10.3934/dcdsb.2022158 +[Abstract](102) +[HTML](40) +[PDF](550.09KB)
Dynamics of West Nile virus driven by seasonal fluctuations in a spatially variable habitat
Jing Ge, Zhigui Lin, Abdelrazig K. Tarboush and Huaiping Zhu
2022doi: 10.3934/dcdsb.2022159 +[Abstract](92) +[HTML](50) +[PDF](534.07KB)
Stability of the chemostat system including a linear coupling between species
Térence Bayen, Henri Cazenave-Lacroutz and Jérôme Coville
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