ISSN:
 1531-3492

eISSN:
 1553-524X

All Issues

Volume 26, 2021

Volume 25, 2020

Volume 24, 2019

Volume 23, 2018

Volume 22, 2017

Volume 21, 2016

Volume 20, 2015

Volume 19, 2014

Volume 18, 2013

Volume 17, 2012

Volume 16, 2011

Volume 15, 2011

Volume 14, 2010

Volume 13, 2010

Volume 12, 2009

Volume 11, 2009

Volume 10, 2008

Volume 9, 2008

Volume 8, 2007

Volume 7, 2007

Volume 6, 2006

Volume 5, 2005

Volume 4, 2004

Volume 3, 2003

Volume 2, 2002

Volume 1, 2001

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.

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

Select all articles

Export/Reference:

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
Susmita Sadhu
2020doi: 10.3934/dcdsb.2020342 +[Abstract](508) +[HTML](143) +[PDF](3254.65KB)
Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors
Adam Glick and Antonio Mastroberardino
2020doi: 10.3934/dcdsb.2020343 +[Abstract](379) +[HTML](189) +[PDF](1029.42KB)
Codimension one and two bifurcations in Cattaneo-Christov heat flux model
Zhouchao Wei, Wei Zhang, Irene Moroz and Nikolay V. Kuznetsov
2020doi: 10.3934/dcdsb.2020344 +[Abstract](357) +[HTML](165) +[PDF](795.37KB)
Singular support of the global attractor for a damped BBM equation
Jianhua Huang, Yanbin Tang and Ming Wang
2020doi: 10.3934/dcdsb.2020345 +[Abstract](340) +[HTML](150) +[PDF](354.48KB)
Qualitative analysis of a generalized Nosé-Hoover oscillator
Qianqian Han and Xiao-Song Yang
2020doi: 10.3934/dcdsb.2020346 +[Abstract](262) +[HTML](131) +[PDF](349.78KB)
Optimal control strategies for an online game addiction model with low and high risk exposure
Youming Guo and Tingting Li
2020doi: 10.3934/dcdsb.2020347 +[Abstract](377) +[HTML](141) +[PDF](729.29KB)
Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
Zhilei Liang and Jiangyu Shuai
2020doi: 10.3934/dcdsb.2020348 +[Abstract](320) +[HTML](122) +[PDF](450.33KB)
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan and Ji Li
2020doi: 10.3934/dcdsb.2020349 +[Abstract](341) +[HTML](122) +[PDF](728.38KB)
Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
2020doi: 10.3934/dcdsb.2020352 +[Abstract](359) +[HTML](128) +[PDF](468.15KB)
Norm inflation for the Boussinesq system
Zongyuan Li and Weinan Wang
2020doi: 10.3934/dcdsb.2020353 +[Abstract](358) +[HTML](112) +[PDF](323.04KB)
On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type
Nguyen Huy Tuan
2020doi: 10.3934/dcdsb.2020354 +[Abstract](359) +[HTML](110) +[PDF](674.04KB)
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Abdollah Borhanifar, Maria Alessandra Ragusa and Sohrab Valizadeh
2020doi: 10.3934/dcdsb.2020355 +[Abstract](286) +[HTML](104) +[PDF](365.54KB)
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility
Nalin Fonseka, Jerome Goddard II, Ratnasingham Shivaji and Byungjae Son
2020doi: 10.3934/dcdsb.2020356 +[Abstract](244) +[HTML](142) +[PDF](817.57KB)
The spatially heterogeneous diffusive rabies model and its shadow system
Yuxin Zhang
2020doi: 10.3934/dcdsb.2020357 +[Abstract](306) +[HTML](115) +[PDF](518.52KB)
The effect of surface pattern property on the advancing motion of three-dimensional droplets
Hua Zhong, Xiaolin Fan and Shuyu Sun
2020doi: 10.3934/dcdsb.2020366 +[Abstract](297) +[HTML](125) +[PDF](3771.13KB)
Strong convergence rates for markovian representations of fractional processes
Philipp Harms
2020doi: 10.3934/dcdsb.2020367 +[Abstract](251) +[HTML](112) +[PDF](4157.51KB)
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
Huanhuan Tian and Maoan Han
2020doi: 10.3934/dcdsb.2020368 +[Abstract](331) +[HTML](107) +[PDF](1088.96KB)
Mathematical analysis of a three-tiered food-web in the chemostat
Sarra Nouaoura, Radhouane Fekih-Salem, Nahla Abdellatif and Tewfik Sari
2020doi: 10.3934/dcdsb.2020369 +[Abstract](340) +[HTML](115) +[PDF](1143.99KB)
Stable transition layers in an unbalanced bistable equation
Maicon Sônego
2020doi: 10.3934/dcdsb.2020370 +[Abstract](310) +[HTML](103) +[PDF](367.05KB)
Permanence, extinction and periodic solution of a stochastic single-species model with Lévy noises
Jiangtao Yang
2020doi: 10.3934/dcdsb.2020371 +[Abstract](357) +[HTML](102) +[PDF](607.06KB)
Parameter identification on Abelian integrals to achieve Chebyshev property
Xianbo Sun, Zhanbo Chen and Pei Yu
2020doi: 10.3934/dcdsb.2020375 +[Abstract](196) +[HTML](94) +[PDF](598.4KB)
Dynamics of non-autonomous fractional reaction-diffusion equations on $ \mathbb{R}^{N} $ driven by multiplicative noise
Kaixuan Zhu, Ji Li, Yongqin Xie and Mingji Zhang
2020doi: 10.3934/dcdsb.2020376 +[Abstract](368) +[HTML](178) +[PDF](593.12KB)
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
Tong Tang and Jianzhu Sun
2020doi: 10.3934/dcdsb.2020377 +[Abstract](226) +[HTML](93) +[PDF](367.76KB)
System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2020doi: 10.3934/dcdsb.2020378 +[Abstract](226) +[HTML](92) +[PDF](9135.26KB)
Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
2020doi: 10.3934/dcdsb.2021001 +[Abstract](214) +[HTML](93) +[PDF](302.95KB)
Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces
Xing Wu and Keqin Su
2020doi: 10.3934/dcdsb.2021002 +[Abstract](206) +[HTML](85) +[PDF](323.06KB)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Kevin Li
2020doi: 10.3934/dcdsb.2021003 +[Abstract](179) +[HTML](93) +[PDF](616.18KB)
On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease
Nabahats Dib-Baghdadli, Rabah Labbas, Tewfik Mahdjoub and Ahmed Medeghri
2020doi: 10.3934/dcdsb.2021004 +[Abstract](402) +[HTML](100) +[PDF](431.96KB)
Water taxes and fines imposed on legal and illegal firms exploiting groudwater
Marta Biancardi, Lucia Maddalena and Giovanni Villani
2020doi: 10.3934/dcdsb.2021008 +[Abstract](181) +[HTML](95) +[PDF](1340.6KB)
Existence of periodic wave trains for an age-structured model with diffusion
Zhihua Liu, Yayun Wu and Xiangming Zhang
2020doi: 10.3934/dcdsb.2021009 +[Abstract](236) +[HTML](95) +[PDF](683.26KB)
Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
Xin Zhao, Tao Feng, Liang Wang and Zhipeng Qiu
2020doi: 10.3934/dcdsb.2021010 +[Abstract](269) +[HTML](108) +[PDF](943.99KB)
Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity
Hui Zhao, Zhengrong Liu and Yiren Chen
2020doi: 10.3934/dcdsb.2021011 +[Abstract](206) +[HTML](97) +[PDF](408.14KB)
Stochastic and deterministic SIS patch model
Ténan Yeo
2020doi: 10.3934/dcdsb.2021012 +[Abstract](207) +[HTML](85) +[PDF](359.76KB)
Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays
Xianyong Chen and Weihua Jiang
2020doi: 10.3934/dcdsb.2021013 +[Abstract](198) +[HTML](83) +[PDF](1242.73KB)
The global attractor for the wave equation with nonlocal strong damping
Biyue Chen, Chunxiang Zhao and Chengkui Zhong
2021doi: 10.3934/dcdsb.2021015 +[Abstract](211) +[HTML](67) +[PDF](388.22KB)
Complex dynamics of a SIRS epidemic model with the influence of hospital bed number
Yancong Xu, Lijun Wei, Xiaoyu Jiang and Zirui Zhu
2021doi: 10.3934/dcdsb.2021016 +[Abstract](205) +[HTML](73) +[PDF](1166.08KB)
Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion
Mohammad Ghani, Jingyu Li and Kaijun Zhang
2021doi: 10.3934/dcdsb.2021017 +[Abstract](403) +[HTML](107) +[PDF](299.6KB)
Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
Yanan Li, Zhijian Yang and Na Feng
2021doi: 10.3934/dcdsb.2021018 +[Abstract](181) +[HTML](67) +[PDF](365.82KB)
Weak time discretization for slow-fast stochastic reaction-diffusion equations
Chungang Shi, Wei Wang and Dafeng Chen
2021doi: 10.3934/dcdsb.2021019 +[Abstract](195) +[HTML](83) +[PDF](368.41KB)
Limiting behavior of unstable manifolds for spdes in varying phase spaces
Lin Shi, Dingshi Li and Kening Lu
2021doi: 10.3934/dcdsb.2021020 +[Abstract](159) +[HTML](87) +[PDF](474.46KB)
Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
2021doi: 10.3934/dcdsb.2021021 +[Abstract](178) +[HTML](82) +[PDF](328.82KB)
Uniform stabilization of 1-D Schrödinger equation with internal difference-type control
Xiaorui Wang, Genqi Xu and Hao Chen
2021doi: 10.3934/dcdsb.2021022 +[Abstract](212) +[HTML](76) +[PDF](520.74KB)
Global attractors of two layer baroclinic quasi-geostrophic model
Yanhong Zhang
2021doi: 10.3934/dcdsb.2021023 +[Abstract](154) +[HTML](71) +[PDF](330.84KB)
On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions
Fang Li and Bo You
2021doi: 10.3934/dcdsb.2021024 +[Abstract](159) +[HTML](75) +[PDF](374.69KB)
The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
2021doi: 10.3934/dcdsb.2021025 +[Abstract](241) +[HTML](76) +[PDF](408.67KB)
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
Mengyu Cheng and Zhenxin Liu
2021doi: 10.3934/dcdsb.2021026 +[Abstract](170) +[HTML](62) +[PDF](475.09KB)
Dynamics of a vector-host model under switching environments
Harrison Watts, Arti Mishra, Dang H. Nguyen and Tran D. Tuong
2021doi: 10.3934/dcdsb.2021029 +[Abstract](160) +[HTML](68) +[PDF](632.32KB)
Initial value problem for fractional Volterra integro-differential equations with Caputo derivative
Huy Tuan Nguyen, Huu Can Nguyen, Renhai Wang and Yong Zhou
2021doi: 10.3934/dcdsb.2021030 +[Abstract](129) +[HTML](61) +[PDF](1356.88KB)
First Return Time to the contact hyperplane for $ N $-degree-of-freedom vibro-impact systems
Huong Le Thi, Stéphane Junca and Mathias Legrand
2021doi: 10.3934/dcdsb.2021031 +[Abstract](112) +[HTML](62) +[PDF](1480.08KB)
Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in $ \mathbb{R}^2 $
Brahim Alouini
2021doi: 10.3934/dcdsb.2021032 +[Abstract](82) +[HTML](58) +[PDF](571.06KB)
Approximate dynamics of a class of stochastic wave equations with white noise
Guanggan Chen, Qin Li and Yunyun Wei
2021doi: 10.3934/dcdsb.2021033 +[Abstract](92) +[HTML](52) +[PDF](515.85KB)
Modeling, approximation, and time optimal temperature control for binder removal from ceramics
Carmen Chicone, Stephen J. Lombardo and David G. Retzloff
2021doi: 10.3934/dcdsb.2021034 +[Abstract](116) +[HTML](57) +[PDF](1153.52KB)
Monotonic and nonmonotonic immune responses in viral infection systems
Shaoli Wang, Huixia Li and Fei Xu
2021doi: 10.3934/dcdsb.2021035 +[Abstract](132) +[HTML](57) +[PDF](2713.27KB)
Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
2021doi: 10.3934/dcdsb.2021036 +[Abstract](112) +[HTML](58) +[PDF](390.11KB)
Analysis of an age-structured model for HIV-TB co-infection
Zhong-Kai Guo, Hai-Feng Huo and Hong Xiang
2021doi: 10.3934/dcdsb.2021037 +[Abstract](157) +[HTML](62) +[PDF](607.46KB)
The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays
Yiwen Tao and Jingli Ren
2021doi: 10.3934/dcdsb.2021038 +[Abstract](128) +[HTML](63) +[PDF](310.78KB)
Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
2021doi: 10.3934/dcdsb.2021039 +[Abstract](152) +[HTML](85) +[PDF](422.07KB)
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva and Helder Vilarinho
2021doi: 10.3934/dcdsb.2021040 +[Abstract](118) +[HTML](62) +[PDF](342.26KB)
Survival analysis for tumor growth model with stochastic perturbation
Dongxi Li, Ni Zhang, Ming Yan and Yanya Xing
2021doi: 10.3934/dcdsb.2021041 +[Abstract](111) +[HTML](76) +[PDF](425.53KB)
Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $
Shijin Ding, Bingyuan Huang and Xiaoyan Hou
2021doi: 10.3934/dcdsb.2021042 +[Abstract](126) +[HTML](64) +[PDF](533.92KB)
Behavior of solution of stochastic difference equation with continuous time under additive fading noise
Leonid Shaikhet
2021doi: 10.3934/dcdsb.2021043 +[Abstract](97) +[HTML](55) +[PDF](125.57KB)
Global boundedness for a $ \mathit{\boldsymbol{N}} $-dimensional two species cancer invasion haptotaxis model with tissue remodeling
Feng Dai and Bin Liu
2021doi: 10.3934/dcdsb.2021044 +[Abstract](107) +[HTML](71) +[PDF](487.19KB)
Global existence in a chemotaxis system with singular sensitivity and signal production
Guoqiang Ren and Heping Ma
2021doi: 10.3934/dcdsb.2021045 +[Abstract](111) +[HTML](68) +[PDF](381.09KB)
On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
Xu Pan and Liangchen Wang
2021doi: 10.3934/dcdsb.2021047 +[Abstract](126) +[HTML](94) +[PDF](452.45KB)
Persistence of mosquito vector and dengue: Impact of seasonal and diurnal temperature variations
Naveen K. Vaidya and Feng-Bin Wang
2021doi: 10.3934/dcdsb.2021048 +[Abstract](160) +[HTML](62) +[PDF](692.85KB)
Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
Zecen He, Haihua Liang and Xiang Zhang
2021doi: 10.3934/dcdsb.2021049 +[Abstract](105) +[HTML](58) +[PDF](1038.75KB)
Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains
Xiaobin Yao
2021doi: 10.3934/dcdsb.2021050 +[Abstract](56) +[HTML](27) +[PDF](461.18KB)
Existence of global weak solutions of $ p $-Navier-Stokes equations
Jian-Guo Liu and Zhaoyun Zhang
2021doi: 10.3934/dcdsb.2021051 +[Abstract](104) +[HTML](50) +[PDF](381.15KB)
Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry
Kunquan Li and Yaobin Ou
2021doi: 10.3934/dcdsb.2021052 +[Abstract](173) +[HTML](56) +[PDF](516.33KB)
Dynamics of Timoshenko system with time-varying weight and time-varying delay
Carlos Nonato, Manoel Jeremias dos Santos and Carlos Raposo
2021doi: 10.3934/dcdsb.2021053 +[Abstract](93) +[HTML](35) +[PDF](382.21KB)
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
2021doi: 10.3934/dcdsb.2021054 +[Abstract](54) +[HTML](26) +[PDF](1427.46KB)
Stabilization by intermittent control for hybrid stochastic differential delay equations
Wei Mao, Yanan Jiang, Liangjian Hu and Xuerong Mao
2021doi: 10.3934/dcdsb.2021055 +[Abstract](77) +[HTML](32) +[PDF](365.0KB)
Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
Dandan Li
2021doi: 10.3934/dcdsb.2021056 +[Abstract](64) +[HTML](29) +[PDF](349.5KB)
A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains
Siqing Li and Zhonghua Qiao
2021doi: 10.3934/dcdsb.2021057 +[Abstract](79) +[HTML](39) +[PDF](2343.16KB)
Stability analysis and optimal control of production-limiting disease in farm with two vaccines
Yue Liu and Wing-Cheong Lo
2021doi: 10.3934/dcdsb.2021058 +[Abstract](77) +[HTML](67) +[PDF](726.46KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2021doi: 10.3934/dcdsb.2021059 +[Abstract](69) +[HTML](78) +[PDF](503.55KB)
Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays
Kuo-Shou Chiu
2021doi: 10.3934/dcdsb.2021060 +[Abstract](58) +[HTML](37) +[PDF](2647.31KB)
Bifurcation analysis in a delayed toxic-phytoplankton and zooplankton ecosystem with Monod-Haldane functional response
Zhichao Jiang, Zexian Zhang and Maoyan Jie
2021doi: 10.3934/dcdsb.2021061 +[Abstract](59) +[HTML](26) +[PDF](2829.38KB)
Evaluating vaccination effectiveness of group-specific fractional-dose strategies
Zhimin Chen, Kaihui Liu and Xiuxiang Liu
2021doi: 10.3934/dcdsb.2021062 +[Abstract](88) +[HTML](40) +[PDF](721.28KB)
Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
Lu Zhang, Aihong Zou, Tao Yan and Ji Shu
2021doi: 10.3934/dcdsb.2021063 +[Abstract](57) +[HTML](24) +[PDF](428.83KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2021doi: 10.3934/dcdsb.2021064 +[Abstract](62) +[HTML](25) +[PDF](1421.34KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2021doi: 10.3934/dcdsb.2021065 +[Abstract](38) +[HTML](5) +[PDF](430.86KB)
Input-to-state stability of infinite-dimensional stochastic nonlinear systems
Pengfei Wang, Mengyi Zhang and Huan Su
2021doi: 10.3934/dcdsb.2021066 +[Abstract](35) +[HTML](14) +[PDF](309.12KB)
A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment
Bo Duan and Zhengce Zhang
2021doi: 10.3934/dcdsb.2021067 +[Abstract](50) +[HTML](7) +[PDF](372.72KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2021doi: 10.3934/dcdsb.2021068 +[Abstract](36) +[HTML](6) +[PDF](342.07KB)
Stability switching and its directions in cournot duopoly game with three delays
Akio Matsumot and Ferenc Szidarovszky
2021doi: 10.3934/dcdsb.2021069 +[Abstract](38) +[HTML](10) +[PDF](1661.63KB)
Public debt dynamics under ambiguity by means of iterated function systems on density functions
Davide La Torre, Simone Marsiglio, Franklin Mendivil and Fabio Privileggi
2021doi: 10.3934/dcdsb.2021070 +[Abstract](62) +[HTML](15) +[PDF](1846.22KB)
Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework
Wensheng Yin, Jinde Cao and Guoqiang Zheng
2021doi: 10.3934/dcdsb.2021072 +[Abstract](10) +[HTML](5) +[PDF](326.43KB)
A fast high order method for time fractional diffusion equation with non-smooth data
Haili Qiao and Aijie Cheng
2021doi: 10.3934/dcdsb.2021073 +[Abstract](10) +[HTML](9) +[PDF](621.8KB)
Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori
Bochao Chen and Yixian Gao
2021doi: 10.3934/dcdsb.2021075 +[Abstract](12) +[HTML](8) +[PDF](414.29KB)
Dynamics of consumer-resource systems with consumer's dispersal between patches
Kun Hu and Yuanshi Wang
2021doi: 10.3934/dcdsb.2021077 +[Abstract](6) +[HTML](9) +[PDF](787.78KB)
Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain
Guodong Wang and Bijun Zuo
2021doi: 10.3934/dcdsb.2021078 +[Abstract](9) +[HTML](14) +[PDF](454.26KB)
Normal deviation of synchronization of stochastic coupled systems
Jicheng Liu and Meiling Zhao
2021doi: 10.3934/dcdsb.2021079 +[Abstract](12) +[HTML](9) +[PDF](446.75KB)
Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two
Dingheng Pi
2021doi: 10.3934/dcdsb.2021080 +[Abstract](3) +[HTML](1) +[PDF](362.14KB)
Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control
Mohamed Ouzahra
2021doi: 10.3934/dcdsb.2021081 +[Abstract](3) +[HTML](1) +[PDF](318.79KB)
Discrete-time dynamics of structured populations via Feller kernels
Horst R. Thieme
2021doi: 10.3934/dcdsb.2021082 +[Abstract](3) +[HTML](1) +[PDF](378.4KB)
Positive solutions of singular multiparameter p-Laplacian elliptic systems
Meiqiang Feng and Yichen Zhang
2021doi: 10.3934/dcdsb.2021083 +[Abstract](3) +[HTML](1) +[PDF](385.49KB)
Mixed Hegselmann-Krause dynamics
Hsin-Lun Li
2021doi: 10.3934/dcdsb.2021084 +[Abstract](3) +[HTML](1) +[PDF](296.92KB)
Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
Weihua Jiang, Xun Cao and Chuncheng Wang
2021doi: 10.3934/dcdsb.2021085 +[Abstract](5) +[HTML](2) +[PDF](1831.55KB)
Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation
Jean-Frédéric Gerbeau and Benoit Perthame
2001, 1(1) : 89-102 doi: 10.3934/dcdsb.2001.1.89 +[Abstract](4780) +[PDF](239.9KB) Cited By(139)
Optimal control of treatments in a two-strain tuberculosis model
E. Jung, Suzanne Lenhart and Z. Feng
2002, 2(4) : 473-482 doi: 10.3934/dcdsb.2002.2.473 +[Abstract](4816) +[PDF](139.6KB) Cited By(118)
Analysis of upscaling absolute permeability
X.H. Wu, Y. Efendiev and Thomas Y. Hou
2002, 2(2) : 185-204 doi: 10.3934/dcdsb.2002.2.185 +[Abstract](3639) +[PDF](226.2KB) Cited By(109)
Optimal control of vector-borne diseases: Treatment and prevention
Kbenesh Blayneh, Yanzhao Cao and Hee-Dae Kwon
2009, 11(3) : 587-611 doi: 10.3934/dcdsb.2009.11.587 +[Abstract](5250) +[PDF](596.7KB) Cited By(78)
Dynamics of a HIV-1 Infection model with cell-mediated immune response and intracellular delay
Huiyan Zhu and Xingfu Zou
2009, 12(2) : 511-524 doi: 10.3934/dcdsb.2009.12.511 +[Abstract](4194) +[PDF](264.3KB) Cited By(78)
Fisher waves in an epidemic model
Xiao-Qiang Zhao and Wendi Wang
2004, 4(4) : 1117-1128 doi: 10.3934/dcdsb.2004.4.1117 +[Abstract](4139) +[PDF](197.7KB) Cited By(71)
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
Adam M. Oberman
2008, 10(1) : 221-238 doi: 10.3934/dcdsb.2008.10.221 +[Abstract](3492) +[PDF](2040.6KB) Cited By(69)
A hierarchy of cancer models and their mathematical challenges
Avner Friedman
2004, 4(1) : 147-159 doi: 10.3934/dcdsb.2004.4.147 +[Abstract](2956) +[PDF](135.6KB) Cited By(60)
The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor
Yihong Du and Zhigui Lin
2014, 19(10) : 3105-3132 doi: 10.3934/dcdsb.2014.19.3105 +[Abstract](2699) +[PDF](506.3KB) Cited By(60)
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: Numerical algorithms
Àlex Haro and Rafael de la Llave
2006, 6(6) : 1261-1300 doi: 10.3934/dcdsb.2006.6.1261 +[Abstract](2991) +[PDF](479.5KB) Cited By(57)
Asymptotic behaviour for a class of delayed cooperative models with patch structure
Teresa Faria
2013, 18(6) : 1567-1579 doi: 10.3934/dcdsb.2013.18.1567 +[Abstract](2564) +[PDF](334.6KB) PDF Downloads(2973)
Stochastic invariance for neutral functional differential equation with non-lipschitz coefficients
Chunhong Li and Jiaowan Luo
2019, 24(7) : 3299-3318 doi: 10.3934/dcdsb.2018321 +[Abstract](2622) +[HTML](501) +[PDF](450.24KB) PDF Downloads(1613)
A review of dynamic Stackelberg game models
Tao Li and Suresh P. Sethi
2017, 22(1) : 125-159 doi: 10.3934/dcdsb.2017007 +[Abstract](4360) +[HTML](291) +[PDF](615.0KB) PDF Downloads(1067)
On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0<\alpha<1}$
Francesco Mainardi
2014, 19(7) : 2267-2278 doi: 10.3934/dcdsb.2014.19.2267 +[Abstract](3507) +[PDF](1144.1KB) PDF Downloads(722)
Modeling of contact tracing in epidemic populations structured by disease age
Xi Huo
2015, 20(6) : 1685-1713 doi: 10.3934/dcdsb.2015.20.1685 +[Abstract](2552) +[PDF](968.5KB) PDF Downloads(577)
The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients
Wei Mao, Liangjian Hu, Surong You and Xuerong Mao
2019, 24(9) : 4937-4954 doi: 10.3934/dcdsb.2019039 +[Abstract](3195) +[HTML](686) +[PDF](433.24KB) PDF Downloads(525)
A stochastic SIRI epidemic model with Lévy noise
Badr-eddine Berrhazi, Mohamed El Fatini, Tomás Caraballo and Roger Pettersson
2018, 23(6) : 2415-2431 doi: 10.3934/dcdsb.2018057 +[Abstract](6892) +[HTML](952) +[PDF](2371.8KB) PDF Downloads(502)
Fractional Navier-Stokes equations
Jan W. Cholewa and Tomasz Dlotko
2018, 23(8) : 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](7647) +[HTML](1271) +[PDF](566.06KB) PDF Downloads(479)
An SICR rumor spreading model in heterogeneous networks
Jinxian Li, Ning Ren and Zhen Jin
2020, 25(4) : 1497-1515 doi: 10.3934/dcdsb.2019237 +[Abstract](1525) +[HTML](226) +[PDF](4277.85KB) PDF Downloads(462)
A multi-stage SIR model for rumor spreading
Sun-Ho Choi, Hyowon Seo and Minha Yoo
2020, 25(6) : 2351-2372 doi: 10.3934/dcdsb.2020124 +[Abstract](1179) +[HTML](184) +[PDF](1528.58KB) PDF Downloads(439)

2019  Impact Factor: 1.27

Editors

Referees

Librarians

Email Alert

[Back to Top]