All Issues

Volume 27, 2022

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

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.

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

Select all articles


Galerkin spectral method for elliptic optimal control problem with $L^2$-norm control constraint
Zhen-Zhen Tao and Bing Sun
2022, 27(8) : 4121-4141 doi: 10.3934/dcdsb.2021220 +[Abstract](886) +[HTML](362) +[PDF](681.8KB)
Continuous dependence of the Cauchy problem for the inhomogeneous nonlinear Schrödinger equation in $H^{s} (\mathbb R^{n})$
JinMyong An, JinMyong Kim and KyuSong Chae
2022, 27(8) : 4143-4172 doi: 10.3934/dcdsb.2021221 +[Abstract](715) +[HTML](318) +[PDF](523.17KB)
Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system
Juntang Ding and Chenyu Dong
2022, 27(8) : 4173-4183 doi: 10.3934/dcdsb.2021222 +[Abstract](741) +[HTML](285) +[PDF](293.19KB)
Asymptotic behavior of supercritical wave equations driven by colored noise on unbounded domains
Bixiang Wang
2022, 27(8) : 4185-4229 doi: 10.3934/dcdsb.2021223 +[Abstract](873) +[HTML](321) +[PDF](492.01KB)
Stochastic fractional integro-differential equations with weakly singular kernels: Well-posedness and Euler–Maruyama approximation
Xinjie Dai, Aiguo Xiao and Weiping Bu
2022, 27(8) : 4231-4253 doi: 10.3934/dcdsb.2021225 +[Abstract](1027) +[HTML](438) +[PDF](387.92KB)
Boundary layer solutions to singularly perturbed quasilinear systems
Valentin Butuzov, Nikolay Nefedov, Oleh Omel'chenko and Lutz Recke
2022, 27(8) : 4255-4283 doi: 10.3934/dcdsb.2021226 +[Abstract](872) +[HTML](335) +[PDF](468.81KB)
Asymptotic (statistical) periodicity in two-dimensional maps
Fumihiko Nakamura and Michael C. Mackey
2022, 27(8) : 4285-4303 doi: 10.3934/dcdsb.2021227 +[Abstract](702) +[HTML](279) +[PDF](1997.83KB)
Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4
Jaume Llibre and Yuzhou Tian
2022, 27(8) : 4305-4316 doi: 10.3934/dcdsb.2021228 +[Abstract](744) +[HTML](348) +[PDF](335.02KB)
Global weak solutions to the generalized mCH equation via characteristics
Fanqin Zeng, Yu Gao and Xiaoping Xue
2022, 27(8) : 4317-4329 doi: 10.3934/dcdsb.2021229 +[Abstract](795) +[HTML](324) +[PDF](322.57KB)
Exponential stability of axially moving Kirchhoff-beam systems with nonlinear boundary damping and disturbance
Yi Cheng, Zhihui Dong and Donal O' Regan
2022, 27(8) : 4331-4346 doi: 10.3934/dcdsb.2021230 +[Abstract](741) +[HTML](337) +[PDF](346.2KB)
Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system
Zhendong Fang and Hao Wang
2022, 27(8) : 4347-4386 doi: 10.3934/dcdsb.2021231 +[Abstract](727) +[HTML](276) +[PDF](539.49KB)
High order one-step methods for backward stochastic differential equations via Itô-Taylor expansion
Quan Zhou and Yabing Sun
2022, 27(8) : 4387-4413 doi: 10.3934/dcdsb.2021233 +[Abstract](837) +[HTML](281) +[PDF](2068.33KB)
Vortex Condensation in General U(1)×U(1) Abelian Chern-Simons Model on a flat torus
Hsin-Yuan Huang
2022, 27(8) : 4415-4428 doi: 10.3934/dcdsb.2021234 +[Abstract](671) +[HTML](256) +[PDF](393.12KB)
A mathematical model for biodiversity diluting transmission of zika virus through competition mechanics
Zongmin Yue and Fauzi Mohamed Yusof
2022, 27(8) : 4429-4453 doi: 10.3934/dcdsb.2021235 +[Abstract](794) +[HTML](310) +[PDF](849.46KB)
Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions
Yu Guo, Xiao-Bao Shu and Qianbao Yin
2022, 27(8) : 4455-4471 doi: 10.3934/dcdsb.2021236 +[Abstract](832) +[HTML](275) +[PDF](367.1KB)
Dynamics and pattern formation in a cross-diffusion model with stage structure for predators
Hongfei Xu, Jinfeng Wang and Xuelian Xu
2022, 27(8) : 4473-4489 doi: 10.3934/dcdsb.2021237 +[Abstract](829) +[HTML](275) +[PDF](704.79KB)
Modeling the effect of activation of CD4$^+$ T cells on HIV dynamics
Linghui Yu, Zhipeng Qiu and Ting Guo
2022, 27(8) : 4491-4513 doi: 10.3934/dcdsb.2021238 +[Abstract](738) +[HTML](300) +[PDF](1839.03KB)
Threshold dynamics of a West Nile virus model with impulsive culling and incubation period
Yaxin Han and Zhenguo Bai
2022, 27(8) : 4515-4529 doi: 10.3934/dcdsb.2021239 +[Abstract](751) +[HTML](340) +[PDF](1919.8KB)
Large time behavior in a predator-prey system with pursuit-evasion interaction
Dayong Qi and Yuanyuan Ke
2022, 27(8) : 4531-4549 doi: 10.3934/dcdsb.2021240 +[Abstract](688) +[HTML](265) +[PDF](365.97KB)
Bistable and oscillatory dynamics of Nicholson's blowflies equation with Allee effect
Xiaoyuan Chang and Junping Shi
2022, 27(8) : 4551-4572 doi: 10.3934/dcdsb.2021242 +[Abstract](724) +[HTML](242) +[PDF](1561.92KB)
Integrability and bifurcation of a three-dimensional circuit differential system
Brigita Ferčec, Valery G. Romanovski, Yilei Tang and Ling Zhang
2022, 27(8) : 4573-4588 doi: 10.3934/dcdsb.2021243 +[Abstract](690) +[HTML](211) +[PDF](2197.71KB)
Crop - Weed interactive dynamics in the presence of herbicides: Mathematical modeling and analysis
Abhinav Tandon
2022, 27(8) : 4589-4618 doi: 10.3934/dcdsb.2021244 +[Abstract](681) +[HTML](259) +[PDF](1125.75KB)
Maximum principle for the optimal harvesting problem of a size-stage-structured population model
Miaomiao Chen and Rong Yuan
2022, 27(8) : 4619-4648 doi: 10.3934/dcdsb.2021245 +[Abstract](680) +[HTML](249) +[PDF](1155.47KB)
Second-order stabilized semi-implicit energy stable schemes for bubble assemblies in binary and ternary systems
Hyunjung Choi and Yanxiang Zhao
2022, 27(8) : 4649-4683 doi: 10.3934/dcdsb.2021246 +[Abstract](623) +[HTML](331) +[PDF](1196.77KB)
The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier
Huijing Sun and Hongjun Cao
2022, 27(8) : 4685-4701 doi: 10.3934/dcdsb.2021247 +[Abstract](631) +[HTML](228) +[PDF](1923.31KB)
Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays
Yongkun Li and Bing Li
2021doi: 10.3934/dcdsb.2021248 +[Abstract](594) +[HTML](244) +[PDF](389.36KB)
Weak convergence of delay SDEs with applications to Carathéodory approximation
Ta Cong Son, Nguyen Tien Dung, Nguyen Van Tan, Tran Manh Cuong, Hoang Thi Phuong Thao and Pham Dinh Tung
2021doi: 10.3934/dcdsb.2021249 +[Abstract](599) +[HTML](255) +[PDF](414.87KB)
Reaction-advection-diffusion competition models under lethal boundary conditions
Kwangjoong Kim, Wonhyung Choi and Inkyung Ahn
2021doi: 10.3934/dcdsb.2021250 +[Abstract](516) +[HTML](312) +[PDF](716.79KB)
Trajectory statistical solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines
Bo You
2021doi: 10.3934/dcdsb.2021251 +[Abstract](442) +[HTML](245) +[PDF](379.7KB)
Dynamics of a Leslie-Gower predator-prey system with hunting cooperation and prey harvesting
Yong Yao and Lingling Liu
2021doi: 10.3934/dcdsb.2021252 +[Abstract](590) +[HTML](287) +[PDF](955.38KB)
The existence of time-dependent attractor for wave equation with fractional damping and lower regular forcing term
Xudong Luo and Qiaozhen Ma
2021doi: 10.3934/dcdsb.2021253 +[Abstract](618) +[HTML](249) +[PDF](405.57KB)
Fractional $ 1 $-Laplacian evolution equations to remove multiplicative noise
Tianling Gao, Qiang Liu and Zhiguang Zhang
2021doi: 10.3934/dcdsb.2021254 +[Abstract](503) +[HTML](228) +[PDF](1169.26KB)
Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction
Chao Liu and Bin Liu
2021doi: 10.3934/dcdsb.2021255 +[Abstract](524) +[HTML](222) +[PDF](631.67KB)
More traveling waves in the Holling-Tanner model with weak diffusion
Vahagn Manukian and Stephen Schecter
2021doi: 10.3934/dcdsb.2021256 +[Abstract](440) +[HTML](211) +[PDF](1008.91KB)
Global existence of weak solutions to inhomogeneous Doi-Onsager equations
Wenji Chen and Jianfeng Zhou
2021doi: 10.3934/dcdsb.2021257 +[Abstract](466) +[HTML](234) +[PDF](438.33KB)
Robust uniform persistence for structured models of delay differential equations
Paul L. Salceanu
2021doi: 10.3934/dcdsb.2021258 +[Abstract](480) +[HTML](248) +[PDF](307.19KB)
Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation
Wei-Kang Xun, Shou-Fu Tian and Tian-Tian Zhang
2021doi: 10.3934/dcdsb.2021259 +[Abstract](613) +[HTML](218) +[PDF](1296.51KB)
Threshold dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey system
Baifeng Zhang, Guohong Zhang and Xiaoli Wang
2021doi: 10.3934/dcdsb.2021260 +[Abstract](565) +[HTML](192) +[PDF](1143.84KB)
Attractors for a class of perturbed nonclassical diffusion equations with memory
Jianbo Yuan, Shixuan Zhang, Yongqin Xie and Jiangwei Zhang
2021doi: 10.3934/dcdsb.2021261 +[Abstract](502) +[HTML](222) +[PDF](339.7KB)
Threshold of a stochastic SIQS epidemic model with isolation
Nguyen Thanh Dieu, Vu Hai Sam and Nguyen Huu Du
2021doi: 10.3934/dcdsb.2021262 +[Abstract](595) +[HTML](242) +[PDF](2981.65KB)
Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo
Zhouchao Wei, Fanrui Wang, Huijuan Li and Wei Zhang
2021doi: 10.3934/dcdsb.2021263 +[Abstract](581) +[HTML](235) +[PDF](1885.69KB)
Bifurcation of the critical crossing cycle in a planar piecewise smooth system with two zones
Fang Wu, Lihong Huang and Jiafu Wang
2021doi: 10.3934/dcdsb.2021264 +[Abstract](551) +[HTML](262) +[PDF](3595.26KB)
The minimal wave speed of the Lotka-Volterra competition model with seasonal succession
Wentao Meng, Yuanxi Yue and Manjun Ma
2021doi: 10.3934/dcdsb.2021265 +[Abstract](492) +[HTML](288) +[PDF](407.6KB)
Recent developments on spatial propagation for diffusion equations in shifting environments
Jia-Bing Wang, Wan-Tong Li, Fang-Di Dong and Shao-Xia Qiao
2021doi: 10.3934/dcdsb.2021266 +[Abstract](682) +[HTML](337) +[PDF](416.61KB)
Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on $ \mathbb{R}^n $
Pengyu Chen, Bixiang Wang and Xuping Zhang
2021doi: 10.3934/dcdsb.2021267 +[Abstract](474) +[HTML](265) +[PDF](501.83KB)
Analysis of a model of the Calvin cycle with diffusion of ATP
Burcu Gürbüz and Alan D. Rendall
2021doi: 10.3934/dcdsb.2021268 +[Abstract](529) +[HTML](219) +[PDF](429.63KB)
Erratum: Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
Mingxin Wang
2021doi: 10.3934/dcdsb.2021269 +[Abstract](938) +[HTML](182) +[PDF](236.16KB)
On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations
Yat Tin Chow and Ali Pakzad
2021doi: 10.3934/dcdsb.2021270 +[Abstract](454) +[HTML](173) +[PDF](502.1KB)
Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise
Yiju Chen and Xiaohu Wang
2021doi: 10.3934/dcdsb.2021271 +[Abstract](441) +[HTML](192) +[PDF](521.83KB)
Existence and approximation of attractors for nonlinear coupled lattice wave equations
Lianbing She, Mirelson M. Freitas, Mauricio S. Vinhote and Renhai Wang
2021doi: 10.3934/dcdsb.2021272 +[Abstract](482) +[HTML](215) +[PDF](573.07KB)
Global generalized solutions to the forager-exploiter model with logistic growth
Qian Zhao and Bin Liu
2021doi: 10.3934/dcdsb.2021273 +[Abstract](483) +[HTML](256) +[PDF](511.22KB)
Stability and applications of multi-order fractional systems
Javier Gallegos
2021doi: 10.3934/dcdsb.2021274 +[Abstract](491) +[HTML](231) +[PDF](192.15KB)
Tempered fractional order compartment models and applications in biology
Yejuan Wang, Lijuan Zhang and Yuan Yuan
2021doi: 10.3934/dcdsb.2021275 +[Abstract](441) +[HTML](233) +[PDF](1110.64KB)
Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems
Radosław Czaja
2021doi: 10.3934/dcdsb.2021276 +[Abstract](467) +[HTML](178) +[PDF](471.02KB)
Dynamic transitions for the S-K-T competition system
Ruikuan Liu and Dongpei Zhang
2021doi: 10.3934/dcdsb.2021277 +[Abstract](491) +[HTML](188) +[PDF](413.58KB)
A delayed dynamical model for COVID-19 therapy with defective interfering particles and artificial antibodies
Yanfei Zhao and Yepeng Xing
2021doi: 10.3934/dcdsb.2021278 +[Abstract](519) +[HTML](191) +[PDF](752.91KB)
Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system
Peng Chen, Linfeng Mei and Xianhua Tang
2021doi: 10.3934/dcdsb.2021279 +[Abstract](442) +[HTML](175) +[PDF](389.93KB)
Exponential decay for quasilinear parabolic equations in any dimension
Jian-Wen Sun and Seonghak Kim
2021doi: 10.3934/dcdsb.2021280 +[Abstract](512) +[HTML](180) +[PDF](259.38KB)
Stabilizing multiple equilibria and cycles with noisy prediction-based control
Elena Braverman and Alexandra Rodkina
2021doi: 10.3934/dcdsb.2021281 +[Abstract](414) +[HTML](225) +[PDF](911.95KB)
On weak martingale solutions to a stochastic Allen-Cahn-Navier-Stokes model with inertial effects
T. Tachim Medjo
2021doi: 10.3934/dcdsb.2021282 +[Abstract](495) +[HTML](192) +[PDF](486.48KB)
Exponential stability for a piezoelectric beam with a magnetic effect and past history
Manoel J. Dos Santos, João C. P. Fortes and Marcos L. Cardoso
2021doi: 10.3934/dcdsb.2021283 +[Abstract](540) +[HTML](210) +[PDF](283.37KB)
Dynamics for the 3D incompressible Navier-Stokes equations with double time delays and damping
Wei Shi, Xiaona Cui, Xuezhi Li and Xin-Guang Yang
2021doi: 10.3934/dcdsb.2021284 +[Abstract](434) +[HTML](189) +[PDF](474.63KB)
Phenomenologies of intermittent Hall MHD turbulence
Mimi Dai
2021doi: 10.3934/dcdsb.2021285 +[Abstract](384) +[HTML](166) +[PDF](396.38KB)
Stability of positive steady-state solutions to a time-delayed system with some applications
Shihe Xu, Fangwei Zhang and Meng Bai
2021doi: 10.3934/dcdsb.2021286 +[Abstract](371) +[HTML](161) +[PDF](326.74KB)
Dynamics of a delayed Lotka-Volterra model with two predators competing for one prey
Minzhen Xu and Shangjiang Guo
2021doi: 10.3934/dcdsb.2021287 +[Abstract](556) +[HTML](213) +[PDF](572.04KB)
Limiting dynamics for stochastic nonclassical diffusion equations
Peng Gao
2021doi: 10.3934/dcdsb.2021288 +[Abstract](387) +[HTML](162) +[PDF](525.22KB)
The existence and properties of the solution of a class of nonlinear differential equations with switching at variable times
Huanting Li, Yunfei Peng and Kuilin Wu
2021doi: 10.3934/dcdsb.2021289 +[Abstract](410) +[HTML](189) +[PDF](435.59KB)
Asymptotic $ H^2$ regularity of a stochastic reaction-diffusion equation
Hongyong Cui and Yangrong Li
2021doi: 10.3934/dcdsb.2021290 +[Abstract](349) +[HTML](174) +[PDF](520.33KB)
Boundedness of the complex Chen system
Xu Zhang and Guanrong Chen
2021doi: 10.3934/dcdsb.2021291 +[Abstract](395) +[HTML](172) +[PDF](441.23KB)
Bifurcation and control of a predator-prey system with unfixed functional responses
Lizhi Fei and Xingwu Chen
2021doi: 10.3934/dcdsb.2021292 +[Abstract](577) +[HTML](234) +[PDF](9351.96KB)
Dynamics of stochastic retarded Benjamin-Bona-Mahony equations on unbounded channels
Qiangheng Zhang
2021doi: 10.3934/dcdsb.2021293 +[Abstract](356) +[HTML](169) +[PDF](507.25KB)
Modeling the second outbreak of COVID-19 with isolation and contact tracing
Haitao Song, Fang Liu, Feng Li, Xiaochun Cao, Hao Wang, Zhongwei Jia, Huaiping Zhu, Michael Y. Li, Wei Lin, Hong Yang, Jianghong Hu and Zhen Jin
2021doi: 10.3934/dcdsb.2021294 +[Abstract](575) +[HTML](352) +[PDF](1213.83KB)
Propagation of stochastic travelling waves of cooperative systems with noise
Hao Wen, Jianhua Huang and Yuhong Li
2021doi: 10.3934/dcdsb.2021295 +[Abstract](466) +[HTML](171) +[PDF](368.62KB)
Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum
Xin Zhong
2021doi: 10.3934/dcdsb.2021296 +[Abstract](383) +[HTML](150) +[PDF](471.46KB)
Orbital dynamics on invariant sets of contact Hamiltonian systems
Qihuai Liu and Pedro J. Torres
2021doi: 10.3934/dcdsb.2021297 +[Abstract](417) +[HTML](173) +[PDF](849.24KB)
A predator-prey model with cooperative hunting in the predator and group defense in the prey
Yanfei Du, Ben Niu and Junjie Wei
2021doi: 10.3934/dcdsb.2021298 +[Abstract](518) +[HTML](174) +[PDF](1926.45KB)
The cyclicity of a class of quadratic reversible centers defining elliptic curves
Guilin Ji and Changjian Liu
2021doi: 10.3934/dcdsb.2021299 +[Abstract](488) +[HTML](154) +[PDF](899.42KB)
Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart
Vincent Duchêne and Christian Klein
2021doi: 10.3934/dcdsb.2021300 +[Abstract](421) +[HTML](152) +[PDF](5085.69KB)
Stability analysis of stochastic delay differential equations with Markovian switching driven by Lévy noise
Yanqiang Chang and Huabin Chen
2021doi: 10.3934/dcdsb.2021301 +[Abstract](500) +[HTML](154) +[PDF](419.31KB)
Global dynamics of a Huanglongbing model with a periodic latent period
Yan Hong, Xiuxiang Liu and Xiao Yu
2021doi: 10.3934/dcdsb.2021302 +[Abstract](435) +[HTML](155) +[PDF](771.02KB)
Continuity of random attractors on a topological space and fractional delayed FitzHugh-Nagumo equations with WZ-noise
Yangrong Li, Shuang Yang and Guangqing Long
2021doi: 10.3934/dcdsb.2021303 +[Abstract](341) +[HTML](165) +[PDF](447.73KB)
Blowup results for the fractional Schrödinger equation without gauge invariance
Qihong Shi, Congming Peng and Qingxuan Wang
2021doi: 10.3934/dcdsb.2021304 +[Abstract](373) +[HTML](155) +[PDF](373.42KB)
On the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky Equation
David Massatt
2022doi: 10.3934/dcdsb.2021305 +[Abstract](351) +[HTML](153) +[PDF](312.48KB)
Boundedness in a two species attraction-repulsion chemotaxis system with two chemicals
Aichao Liu, Binxiang Dai and Yuming Chen
2022doi: 10.3934/dcdsb.2021306 +[Abstract](389) +[HTML](298) +[PDF](421.65KB)
On weak (measure-valued)-strong uniqueness for compressible MHD system with non-monotone pressure law
Yu Liu and Ting Zhang
2022doi: 10.3934/dcdsb.2021307 +[Abstract](379) +[HTML](139) +[PDF](394.35KB)
Emergent behaviors of discrete Lohe aggregation flows
Hyungjun Choi, Seung-Yeal Ha and Hansol Park
2022doi: 10.3934/dcdsb.2021308 +[Abstract](398) +[HTML](141) +[PDF](518.84KB)
Exponential ergodicity for regime-switching diffusion processes in total variation norm
Jun Li and Fubao Xi
2022doi: 10.3934/dcdsb.2021309 +[Abstract](329) +[HTML](219) +[PDF](373.01KB)
Multi-valued random dynamics of stochastic wave equations with infinite delays
Jingyu Wang, Yejuan Wang and Tomás Caraballo
2022doi: 10.3934/dcdsb.2021310 +[Abstract](332) +[HTML](186) +[PDF](405.77KB)
Statistical solution and Liouville type theorem for coupled Schrödinger-Boussinesq equations on infinite lattices
Congcong Li, Chunqiu Li and Jintao Wang
2022doi: 10.3934/dcdsb.2021311 +[Abstract](330) +[HTML](135) +[PDF](353.75KB)
Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes
Jianing Chen and Mingji Zhang
2022doi: 10.3934/dcdsb.2021312 +[Abstract](337) +[HTML](176) +[PDF](566.41KB)
Strong pullback attractors for a nonclassical diffusion equation
Xiaolei Dong and Yuming Qin
2022doi: 10.3934/dcdsb.2021313 +[Abstract](425) +[HTML](187) +[PDF](459.77KB)
The study on cyclicity of a class of cubic systems
Yuanyuan Chen and Jiang Yu
2022doi: 10.3934/dcdsb.2021314 +[Abstract](308) +[HTML](145) +[PDF](1287.46KB)
New insights to the Hide-Skeldon-Acheson dynamo
Ximing Li
2022doi: 10.3934/dcdsb.2021315 +[Abstract](370) +[HTML](144) +[PDF](4801.63KB)
A cross-infection model with diffusion and incubation period
Danfeng Pang, Yanni Xiao and Xiao-Qiang Zhao
2022doi: 10.3934/dcdsb.2021316 +[Abstract](505) +[HTML](132) +[PDF](891.74KB)
Existence of ground states for Schrödinger-Poisson system with nonperiodic potentials
Rong Cheng and Jun Wang
2022doi: 10.3934/dcdsb.2021317 +[Abstract](335) +[HTML](119) +[PDF](457.68KB)
Random exponential attractor for stochastic non-autonomous suspension bridge equation with additive white noise
Ling Xu, Jianhua Huang and Qiaozhen Ma
2022doi: 10.3934/dcdsb.2021318 +[Abstract](342) +[HTML](171) +[PDF](508.41KB)
Chaotic threshold of a class of hybrid piecewise-smooth system by an impulsive effect via Melnikov-type function
Hang Zheng and Yonghui Xia
2022doi: 10.3934/dcdsb.2021319 +[Abstract](367) +[HTML](189) +[PDF](2359.49KB)
Modelling conflicting individual preference: Target sequences and graph realization
Raneem Aizouk and Mark Broom
2022doi: 10.3934/dcdsb.2022001 +[Abstract](671) +[HTML](141) +[PDF](712.16KB)
A Gauss-Seidel projection method with the minimal number of updates for the stray field in micromagnetics simulations
Panchi Li, Zetao Ma, Rui Du and Jingrun Chen
2022doi: 10.3934/dcdsb.2022002 +[Abstract](356) +[HTML](137) +[PDF](20355.76KB)
Finite difference methods for the one-dimensional Chern-Simons gauged models
Jeongho Kim and Bora Moon
2022doi: 10.3934/dcdsb.2022003 +[Abstract](355) +[HTML](142) +[PDF](719.79KB)
On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations
Xiaocai Wang, Xiaofei Cao and Xuqing Liu
2022doi: 10.3934/dcdsb.2022004 +[Abstract](334) +[HTML](114) +[PDF](423.03KB)
Asymptotic and finite-time cluster synchronization of neural networks via two different controllers
Juan Cao, Fengli Ren and Dacheng Zhou
2022doi: 10.3934/dcdsb.2022005 +[Abstract](330) +[HTML](122) +[PDF](345.64KB)
Attractors of the Klein-Gordon-Schrödinger lattice systems with almost periodic nonlinear part
Ahmed Y. Abdallah, Taqwa M. Al-Khader and Heba N. Abu-Shaab
2022doi: 10.3934/dcdsb.2022006 +[Abstract](342) +[HTML](125) +[PDF](427.71KB)
Asymptotic interplay of states and adaptive coupling gains in the Lohe Hermitian sphere model
Junhyeok Byeon, Seung-Yeal Ha and Hansol Park
2022doi: 10.3934/dcdsb.2022007 +[Abstract](320) +[HTML](126) +[PDF](498.02KB)
Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping
Qiwei Wu
2022doi: 10.3934/dcdsb.2022008 +[Abstract](300) +[HTML](107) +[PDF](333.94KB)
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
Michael Winkler
2022doi: 10.3934/dcdsb.2022009 +[Abstract](387) +[HTML](120) +[PDF](436.25KB)
Metric entropy for set-valued maps
Kendry J. Vivas and Víctor F. Sirvent
2022doi: 10.3934/dcdsb.2022010 +[Abstract](375) +[HTML](127) +[PDF](325.72KB)
Minimal surface generating flow for space curves of non-vanishing torsion
Jiří Minarčík and Michal Beneš
2022doi: 10.3934/dcdsb.2022011 +[Abstract](410) +[HTML](137) +[PDF](433.16KB)
Constant vorticity atmospheric Ekman flows in the $ f- $plane approximation
Jinrong Wang, Michal Fečkan and Yi Guan
2022doi: 10.3934/dcdsb.2022012 +[Abstract](311) +[HTML](153) +[PDF](323.02KB)
Studies on reversal permanent charges and reversal potentials via classical Poisson-Nernst-Planck systems with boundary layers
Lijun Zhang, Xiangshuo Liu and Chaohong Pan
2022doi: 10.3934/dcdsb.2022013 +[Abstract](323) +[HTML](174) +[PDF](398.09KB)
A reaction-diffusion-advection SIS epidemic model with linear external source and open advective environments
Xu Rao, Guohong Zhang and Xiaoli Wang
2022doi: 10.3934/dcdsb.2022014 +[Abstract](377) +[HTML](178) +[PDF](459.72KB)
On dynamics and stationary pattern formations of a diffusive predator-prey system with hunting cooperation
Kimun Ryu and Wonlyul Ko
2022doi: 10.3934/dcdsb.2022015 +[Abstract](308) +[HTML](135) +[PDF](450.04KB)
Pitfalls in applying optimal control to dynamical systems: An overview and editorial perspective
Urszula Ledzewicz and Heinz Schättler
2022doi: 10.3934/dcdsb.2022016 +[Abstract](366) +[HTML](112) +[PDF](281.34KB)
The role of vigilance on a discrete-time predator-prey model
Ziyad AlSharawi, Nikhil Pal and Joydev Chattopadhyay
2022doi: 10.3934/dcdsb.2022017 +[Abstract](432) +[HTML](112) +[PDF](1966.13KB)
Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple Allee effect
Liang Zhao and Jianhe Shen
2022doi: 10.3934/dcdsb.2022018 +[Abstract](400) +[HTML](106) +[PDF](1940.9KB)
Global well-posedness of the three-dimensional viscous primitive equations with bounded delays
Zhenduo Fan, Wenjun Liu and Shengqian Chen
2022doi: 10.3934/dcdsb.2022019 +[Abstract](239) +[HTML](104) +[PDF](379.11KB)
On the quasineutral limit for the compressible Euler-Poisson equations
Jianwei Yang, Dongling Li and Xiao Yang
2022doi: 10.3934/dcdsb.2022020 +[Abstract](261) +[HTML](134) +[PDF](281.72KB)
An efficient finite element method and error analysis for fourth order problems in a spherical domain
Na Peng, Jiayu Han and Jing An
2022doi: 10.3934/dcdsb.2022021 +[Abstract](326) +[HTML](95) +[PDF](1194.95KB)
Local and parallel finite element algorithms for the incompressible Navier-Stokes equations with damping
Eid Wassim and Yueqiang Shang
2022doi: 10.3934/dcdsb.2022022 +[Abstract](302) +[HTML](149) +[PDF](2398.19KB)
Stochastic persistence in degenerate stochastic Lotka-Volterra food chains
Michel Benaïm, Antoine Bourquin and Dang H. Nguyen
2022doi: 10.3934/dcdsb.2022023 +[Abstract](246) +[HTML](97) +[PDF](454.55KB)
On the solutions for a Benney-Lin type equation
Giuseppe Maria Coclite and Lorenzo di Ruvo
2022doi: 10.3934/dcdsb.2022024 +[Abstract](404) +[HTML](147) +[PDF](332.55KB)
Stability and Hopf bifurcation in a prey-predator model with memory-based diffusion
Shu Li, Zhenzhen Li and Binxiang Dai
2022doi: 10.3934/dcdsb.2022025 +[Abstract](407) +[HTML](118) +[PDF](641.45KB)
The effect of irreversible drug abuse in a dynamic model
Malek Pourhosseini and Reza Memarbashi
2022doi: 10.3934/dcdsb.2022026 +[Abstract](268) +[HTML](132) +[PDF](471.91KB)
Existence of complete Lyapunov functions with prescribed orbital derivative
Peter Giesl, Sigurdur Freyr Hafstein and Stefan Suhr
2022doi: 10.3934/dcdsb.2022027 +[Abstract](342) +[HTML](95) +[PDF](1114.28KB)
Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on $ \mathbb{R}^3 $
Hong Lu, Ji Li and Mingji Zhang
2022doi: 10.3934/dcdsb.2022028 +[Abstract](259) +[HTML](128) +[PDF](443.46KB)
Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination
Hiroshi Ito, Michael Malisoff and Frédéric Mazenc
2022doi: 10.3934/dcdsb.2022029 +[Abstract](334) +[HTML](128) +[PDF](784.4KB)
Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes
Mingji Zhang
2022doi: 10.3934/dcdsb.2022030 +[Abstract](265) +[HTML](94) +[PDF](504.09KB)
Global generalized solutions to a three species predator-prey model with prey-taxis
Xin Wang, Ruijing Li and Yu Shi
2022doi: 10.3934/dcdsb.2022031 +[Abstract](273) +[HTML](134) +[PDF](435.24KB)
On the stabilization of a flexible structure via a nonlinear delayed boundary control
Boumediène Chentouf and Baowei Feng
2022doi: 10.3934/dcdsb.2022032 +[Abstract](252) +[HTML](148) +[PDF](348.57KB)
Complex dynamic behaviors of a tumor-immune system with two delays in tumor actions
Jianquan Li, Xiangxiang Ma, Yuming Chen and Dian Zhang
2022doi: 10.3934/dcdsb.2022033 +[Abstract](384) +[HTML](98) +[PDF](3243.58KB)
Stability of rarefaction wave for viscous vasculogenesis model
Qingqing Liu and Xiaoli Wu
2022doi: 10.3934/dcdsb.2022034 +[Abstract](203) +[HTML](132) +[PDF](422.05KB)
Stability analysis of time-varying delay neural network for convex quadratic programming with equality constraints and inequality constraints
Ling Zhang and Xiaoqi Sun
2022doi: 10.3934/dcdsb.2022035 +[Abstract](290) +[HTML](95) +[PDF](417.97KB)
Approaching constant steady states in a Keller-Segel-Stokes system with subquadratic logistic growth
Yu Tian
2022doi: 10.3934/dcdsb.2022036 +[Abstract](236) +[HTML](81) +[PDF](497.42KB)
Chaotic motion and control of the driven-damped Double Sine-Gordon equation
Hang Zheng, Yonghui Xia and Manuel Pinto
2022doi: 10.3934/dcdsb.2022037 +[Abstract](260) +[HTML](140) +[PDF](1249.27KB)
A spatially and size-structured population model with unbounded birth process
Abed Boulouz
2022doi: 10.3934/dcdsb.2022038 +[Abstract](209) +[HTML](87) +[PDF](310.08KB)
On the Cauchy problem for a nonlocal nonlinear Schrödinger equation
Hongwei Wang and Amin Esfahani
2022doi: 10.3934/dcdsb.2022039 +[Abstract](238) +[HTML](92) +[PDF](566.96KB)
Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force
Yunfei Su, Lei Yao and Mengmeng Zhu
2022doi: 10.3934/dcdsb.2022040 +[Abstract](249) +[HTML](80) +[PDF](424.17KB)
On a quasilinear fully parabolic attraction or repulsion chemotaxis system with nonlinear signal production
Runlin Hu and Pan Zheng
2022doi: 10.3934/dcdsb.2022041 +[Abstract](265) +[HTML](91) +[PDF](377.71KB)
Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop
Antony R. Humphries, Bernd Krauskopf, Stefan Ruschel and Jan Sieber
2022doi: 10.3934/dcdsb.2022042 +[Abstract](246) +[HTML](110) +[PDF](1711.02KB)
The existence of $ \omega $-limit set for a modified Nosé-Hoover oscillator
Qianqian Han, Bo Deng and Xiao-Song Yang
2022doi: 10.3934/dcdsb.2022043 +[Abstract](269) +[HTML](116) +[PDF](1859.61KB)
On the global existence to Hall-MHD system
Lvqiao Liu
2022doi: 10.3934/dcdsb.2022044 +[Abstract](242) +[HTML](118) +[PDF](353.86KB)
Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems
Kai Lu and Wenjing Xu
2022doi: 10.3934/dcdsb.2022045 +[Abstract](308) +[HTML](108) +[PDF](4158.46KB)
Attractor of the Kirchhoff type plate equation with memory and nonlinear damping on the whole time-dependent space
Tingting Liu, Qiaozhen Ma and Ling Xu
2022doi: 10.3934/dcdsb.2022046 +[Abstract](223) +[HTML](79) +[PDF](480.03KB)
Synchronization of dynamical systems on Riemannian manifolds by an extended PID-type control theory: Numerical evaluation
Simone Fiori, Italo Cervigni, Mattia Ippoliti and Claudio Menotta
2022doi: 10.3934/dcdsb.2022047 +[Abstract](249) +[HTML](160) +[PDF](20221.54KB)
Mathematical analysis of a triple age dependent epidemiological model with including a protection strategy
Fatima Zohra Hathout, Tarik Mohammed Touaoula and Salih Djilali
2022doi: 10.3934/dcdsb.2022048 +[Abstract](248) +[HTML](83) +[PDF](1383.72KB)
Mortality can produce limit cycles in density-dependent models with a predator-prey relationship
Tahani Mtar, Radhouane Fekih-Salem and Tewfik Sari
2022doi: 10.3934/dcdsb.2022049 +[Abstract](256) +[HTML](81) +[PDF](1769.09KB)
Factorization method for inverse time-harmonic elastic scattering with a single plane wave
Guanqiu Ma and Guanghui Hu
2022doi: 10.3934/dcdsb.2022050 +[Abstract](188) +[HTML](106) +[PDF](468.47KB)
Existence of compact $ \varphi $-attracting sets and estimate of their attractive velocity for infinite-dimensional dynamical systems
Chunyan Zhao, Chengkui Zhong and Xiangming Zhu
2022doi: 10.3934/dcdsb.2022051 +[Abstract](208) +[HTML](69) +[PDF](441.72KB)
A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations
Yuling Guo and Zhongqing Wang
2022doi: 10.3934/dcdsb.2022052 +[Abstract](244) +[HTML](101) +[PDF](509.68KB)
Inheritance of $ {\mathscr F}- $chaos and $ {\mathscr F}- $sensitivities under an iteration for non-autonomous discrete systems
JinHyon Kim, HyonHui Ju and WiJong An
2022doi: 10.3934/dcdsb.2022053 +[Abstract](190) +[HTML](66) +[PDF](370.94KB)
Limiting behavior of invariant measures of highly nonlinear stochastic retarded lattice systems
Yusen Lin and Dingshi Li
2022doi: 10.3934/dcdsb.2022054 +[Abstract](164) +[HTML](73) +[PDF](431.13KB)
A note on differentiability of the conjugacy in a delayed version of Hartman-Grobman Theorem
Adrian Gomez, Dante Carrasco and Heli Elorreaga
2022doi: 10.3934/dcdsb.2022055 +[Abstract](209) +[HTML](92) +[PDF](361.38KB)
Phase portraits of the Selkov model in the Poincaré disc
Jaume Llibre and Arefeh Nabavi
2022doi: 10.3934/dcdsb.2022056 +[Abstract](173) +[HTML](84) +[PDF](639.26KB)
Smoothing effect and well-posedness for 2D Boussinesq equations in critical Sobolev space
Aiting Le and Chenyin Qian
2022doi: 10.3934/dcdsb.2022057 +[Abstract](208) +[HTML](113) +[PDF](492.02KB)
Lyapunov exponents for random maps
Fumihiko Nakamura, Yushi Nakano and Hisayoshi Toyokawa
2022doi: 10.3934/dcdsb.2022058 +[Abstract](222) +[HTML](77) +[PDF](1562.46KB)
The isothermal limit for the compressible Euler equations with damping
Quentin Chauleur
2022doi: 10.3934/dcdsb.2022059 +[Abstract](176) +[HTML](67) +[PDF](423.84KB)
Dynamics of a free boundary problem modelling species invasion with impulsive harvesting
Yue Meng, Jing Ge and Zhigui Lin
2022doi: 10.3934/dcdsb.2022060 +[Abstract](211) +[HTML](111) +[PDF](742.86KB)
Global solvability to the 3D incompressible magneto-micropolar system with vacuum
Yang Liu, Nan Zhou and Renying Guo
2022doi: 10.3934/dcdsb.2022061 +[Abstract](210) +[HTML](75) +[PDF](408.76KB)
Global asymptotic stability of constant equilibrium in a nonlocal diffusion competition model with free boundaries
Weiyi Zhang and Ling Zhou
2022doi: 10.3934/dcdsb.2022062 +[Abstract](161) +[HTML](77) +[PDF](489.11KB)
Cross-diffusion effects on stationary pattern formation in the FitzHugh-Nagumo model
Gaetana Gambino, Valeria Giunta, Maria Carmela Lombardo and Gianfranco Rubino
2022doi: 10.3934/dcdsb.2022063 +[Abstract](292) +[HTML](206) +[PDF](3424.65KB)
Semigroup property of fractional differential operators and its applications
Nguyen Dinh Cong
2022doi: 10.3934/dcdsb.2022064 +[Abstract](160) +[HTML](56) +[PDF](339.91KB)
Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations
Zehan Lin, Chongbin Xu, Caidi Zhao and Chujin Li
2022doi: 10.3934/dcdsb.2022065 +[Abstract](196) +[HTML](68) +[PDF](488.95KB)
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
2022doi: 10.3934/dcdsb.2022066 +[Abstract](512) +[HTML](149) +[PDF](1150.24KB)
Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models
Huizi Yang, Zhanwen Yang and Shengqiang Liu
2022doi: 10.3934/dcdsb.2022067 +[Abstract](184) +[HTML](109) +[PDF](1633.38KB)
Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations
Bashar Khorbatly
2022doi: 10.3934/dcdsb.2022068 +[Abstract](191) +[HTML](55) +[PDF](612.13KB)
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
2022doi: 10.3934/dcdsb.2022069 +[Abstract](398) +[HTML](69) +[PDF](931.86KB)
Positive periodic solutions for systems of impulsive delay differential equations
Teresa Faria and Rubén Figueroa
2022doi: 10.3934/dcdsb.2022070 +[Abstract](176) +[HTML](67) +[PDF](465.95KB)
Global boundedness in a quasilinear two-species attraction-repulsion chemotaxis system with two chemicals
Miaoqing Tian, Shujuan Wang and Xia Xiao
2022doi: 10.3934/dcdsb.2022071 +[Abstract](242) +[HTML](64) +[PDF](363.49KB)
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
2022doi: 10.3934/dcdsb.2022072 +[Abstract](328) +[HTML](100) +[PDF](472.46KB)
Using normal forms to study Oterma's transition in the Planar RTBP
Gladston Duarte and Àngel Jorba
2022doi: 10.3934/dcdsb.2022073 +[Abstract](174) +[HTML](107) +[PDF](612.48KB)
On the convergence of the Crank-Nicolson method for the logarithmic Schrödinger equation
Panagiotis Paraschis and Georgios E. Zouraris
2022doi: 10.3934/dcdsb.2022074 +[Abstract](209) +[HTML](68) +[PDF](499.01KB)
Finite-time blow-up in a quasilinear degenerate parabolic–elliptic chemotaxis system with logistic source and nonlinear production
Yuya Tanaka and Tomomi Yokota
2022doi: 10.3934/dcdsb.2022075 +[Abstract](165) +[HTML](85) +[PDF](414.15KB)
Nonlocal dispersal equations in domains becoming unbounded
Jian-Wen Sun
2022doi: 10.3934/dcdsb.2022076 +[Abstract](149) +[HTML](51) +[PDF](242.55KB)
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](161) +[HTML](128) +[PDF](14578.12KB)
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
2022doi: 10.3934/dcdsb.2022078 +[Abstract](205) +[HTML](90) +[PDF](1097.85KB)
New well-posedness results for stochastic delay Rayleigh-Stokes equations
Nguyen Huy Tuan, Nguyen Duc Phuong and Tran Ngoc Thach
2022doi: 10.3934/dcdsb.2022079 +[Abstract](172) +[HTML](63) +[PDF](335.5KB)
Space-time spectral methods for a fourth-order parabolic optimal control problem in three control constraint cases
Zhen-Zhen Tao and Bing Sun
2022doi: 10.3934/dcdsb.2022080 +[Abstract](239) +[HTML](83) +[PDF](445.16KB)
Upper semi-continuity of non-autonomous fractional stochastic $ p $-Laplacian equation driven by additive noise on $ \mathbb{R}^n $
Xiaohui Zhang and Xuping Zhang
2022doi: 10.3934/dcdsb.2022081 +[Abstract](213) +[HTML](47) +[PDF](497.05KB)
Hopf bifurcation for a predator-prey model with age structure and ratio-dependent response function incorporating a prey refuge
Tongtong Chen and Jixun Chu
2022doi: 10.3934/dcdsb.2022082 +[Abstract](133) +[HTML](35) +[PDF](1163.59KB)
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
2022doi: 10.3934/dcdsb.2022083 +[Abstract](186) +[HTML](47) +[PDF](1272.06KB)
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
2022doi: 10.3934/dcdsb.2022084 +[Abstract](131) +[HTML](90) +[PDF](5957.41KB)
Free boundary problems for the local-nonlocal diffusive model with different moving parameters
Heting Zhang, Lei Li and Mingxin Wang
2022doi: 10.3934/dcdsb.2022085 +[Abstract](159) +[HTML](33) +[PDF](386.51KB)
Smoluchowski–Kramers approximation with state dependent damping and highly random oscillation
Yan Lv and Wei Wang
2022doi: 10.3934/dcdsb.2022086 +[Abstract](128) +[HTML](81) +[PDF](306.25KB)
Asymptotically autonomous dynamics for non-autonomous stochastic $ g $-Navier-Stokes equation with additive noise
Fuzhi Li and Dongmei Xu
2022doi: 10.3934/dcdsb.2022087 +[Abstract](124) +[HTML](72) +[PDF](397.13KB)
On the fractional chemotaxis Navier-Stokes system in the critical spaces
Joelma Azevedo, Claudio Cuevas, Jarbas Dantas and Clessius Silva
2022doi: 10.3934/dcdsb.2022088 +[Abstract](171) +[HTML](41) +[PDF](424.3KB)
Nonlocal biharmonic evolution equations with Dirichlet and Navier boundary conditions
Kehan Shi and Ying Wen
2022doi: 10.3934/dcdsb.2022089 +[Abstract](160) +[HTML](36) +[PDF](328.47KB)
On the asymptotic stability of a Bresse system with two fractional damping terms: Theoretical and numerical analysis
Toufik Bentrcia and Abdelaziz Mennouni
2022doi: 10.3934/dcdsb.2022090 +[Abstract](272) +[HTML](90) +[PDF](2442.94KB)
Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow
Shu Wang and Yixuan Zhao
2022doi: 10.3934/dcdsb.2022091 +[Abstract](124) +[HTML](79) +[PDF](417.51KB)
Boundary preserving explicit scheme for the Aït-Sahalia mode
Nikolaos Halidias and Ioannis S. Stamatiou
2022doi: 10.3934/dcdsb.2022092 +[Abstract](137) +[HTML](34) +[PDF](974.41KB)
Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on $ \mathbb{R}^n $
Jianing Chen and Bixiang Wang
2022doi: 10.3934/dcdsb.2022093 +[Abstract](137) +[HTML](34) +[PDF](469.18KB)
Bifurcation and overexploitation in Rosenzweig-MacArthur model
Xiaoqing Lin, Yancong Xu, Daozhou Gao and Guihong Fan
2022doi: 10.3934/dcdsb.2022094 +[Abstract](88) +[HTML](24) +[PDF](1225.75KB)
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
2022doi: 10.3934/dcdsb.2022095 +[Abstract](88) +[HTML](31) +[PDF](681.45KB)
Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case
Guangyu Xu
2022doi: 10.3934/dcdsb.2022096 +[Abstract](83) +[HTML](26) +[PDF](462.27KB)
Permutation binary neural networks: Analysis of periodic orbits and its applications
Hotaka Udagawa, Taiji Okano and Toshimichi Saito
2022doi: 10.3934/dcdsb.2022097 +[Abstract](186) +[HTML](38) +[PDF](3401.0KB)
Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation
Chuchu Chen, Jialin Hong and Yulan Lu
2022doi: 10.3934/dcdsb.2022098 +[Abstract](78) +[HTML](23) +[PDF](780.14KB)
Delay-dependent flocking dynamics of a two-group coupling system
Maoli Chen, Yicheng Liu and Xiao Wang
2022doi: 10.3934/dcdsb.2022099 +[Abstract](88) +[HTML](57) +[PDF](1956.34KB)
Model of vehicle interactions with autonomous cars and its properties
Michael Herty, Gabriella Puppo and Giuseppe Visconti
2022doi: 10.3934/dcdsb.2022100 +[Abstract](67) +[HTML](20) +[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](93) +[HTML](24) +[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](99) +[HTML](19) +[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](94) +[HTML](37) +[PDF](475.68KB)
Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition
Yuan-Yuan Zhou
2022doi: 10.3934/dcdsb.2022104 +[Abstract](61) +[HTML](15) +[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](90) +[HTML](20) +[PDF](337.72KB)
Time reversal of surface plasmons
Olivier Pinaud
2022doi: 10.3934/dcdsb.2022106 +[Abstract](55) +[HTML](16) +[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](113) +[HTML](53) +[PDF](354.62KB)
Spreading speed in a non-monotonic Ricker competitive integrodifference system
Guo Lin and Yahui Wang
2022doi: 10.3934/dcdsb.2022108 +[Abstract](91) +[HTML](19) +[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](101) +[HTML](22) +[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](68) +[HTML](35) +[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](79) +[HTML](17) +[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](93) +[HTML](19) +[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](86) +[HTML](20) +[PDF](372.49KB)
Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations
Yu Ichida
2022doi: 10.3934/dcdsb.2022114 +[Abstract](89) +[HTML](20) +[PDF](347.88KB)
Global attractor for the periodic generalized Korteweg-De Vries equation through smoothing
Ryan McConnell
2022doi: 10.3934/dcdsb.2022115 +[Abstract](75) +[HTML](36) +[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](112) +[HTML](25) +[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](71) +[HTML](22) +[PDF](642.2KB)
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](68) +[HTML](20) +[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](65) +[HTML](21) +[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](42) +[HTML](11) +[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](46) +[HTML](9) +[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](81) +[HTML](32) +[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](50) +[HTML](12) +[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](51) +[HTML](16) +[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](8) +[HTML](4) +[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](14) +[HTML](6) +[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](7) +[HTML](6) +[PDF](5523.75KB)
Diffusive size-structured population model with time-varying diffusion rate
Manoj Kumar and Syed Abbas
2022doi: 10.3934/dcdsb.2022128 +[Abstract](11) +[HTML](4) +[PDF](4042.77KB)
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](6627) +[PDF](239.9KB) Cited By(136)
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](6483) +[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](4986) +[PDF](226.2KB) Cited By(106)
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](7465) +[PDF](596.7KB) Cited By(79)
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](5860) +[PDF](264.3KB) Cited By(79)
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](5610) +[PDF](197.7KB) Cited By(75)
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](4931) +[PDF](2040.6KB) Cited By(68)
A hierarchy of cancer models and their mathematical challenges
Avner Friedman
2004, 4(1) : 147-159 doi: 10.3934/dcdsb.2004.4.147 +[Abstract](4427) +[PDF](135.6KB) Cited By(62)
Chemotaxis can prevent thresholds on population density
Johannes Lankeit
2015, 20(5) : 1499-1527 doi: 10.3934/dcdsb.2015.20.1499 +[Abstract](4042) +[PDF](526.1KB) 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](4022) +[PDF](506.3KB) Cited By(60)
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](3734) +[PDF](334.6KB) PDF Downloads(3060)
A review of dynamic Stackelberg game models
Tao Li and Suresh P. Sethi
2017, 22(1) : 125-159 doi: 10.3934/dcdsb.2017007 +[Abstract](8705) +[HTML](366) +[PDF](615.0KB) PDF Downloads(2469)
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](5249) +[PDF](1144.1KB) PDF Downloads(2196)
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](3787) +[HTML](507) +[PDF](450.24KB) PDF Downloads(1738)
The basic reproduction number of discrete SIR and SEIS models with periodic parameters
Hui Cao and Yicang Zhou
2013, 18(1) : 37-56 doi: 10.3934/dcdsb.2013.18.37 +[Abstract](5596) +[PDF](436.9KB) PDF Downloads(1161)
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](2953) +[HTML](203) +[PDF](1528.58KB) PDF Downloads(972)
Review on computational methods for Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2015, 20(8) : 2291-2331 doi: 10.3934/dcdsb.2015.20.2291 +[Abstract](7940) +[PDF](948.3KB) PDF Downloads(933)
Well-posedness results for fractional semi-linear wave equations
Jean-Daniel Djida, Arran Fernandez and Iván Area
2020, 25(2) : 569-597 doi: 10.3934/dcdsb.2019255 +[Abstract](3132) +[HTML](321) +[PDF](518.41KB) PDF Downloads(805)
Existence and approximation of strong solutions of SDEs with fractional diffusion coefficients
Hao Yang, Fuke Wu and Peter E. Kloeden
2019, 24(10) : 5553-5567 doi: 10.3934/dcdsb.2019071 +[Abstract](3059) +[HTML](375) +[PDF](421.98KB) PDF Downloads(803)
The structure of $ \omega $-limit sets of asymptotically non-autonomous discrete dynamical systems
Emma D'Aniello and Saber Elaydi
2020, 25(3) : 903-915 doi: 10.3934/dcdsb.2019195 +[Abstract](2880) +[HTML](301) +[PDF](750.7KB) PDF Downloads(792)

2021 Impact Factor: 1.497
5 Year Impact Factor: 1.527
2021 CiteScore: 2.3




Special Issues

Email Alert

[Back to Top]