All Issues

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, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.

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

Select all articles


Preface: Population dynamics in epidemiology and ecology
Luca Gerardo-Giorda, Pierre Magal, Shigui Ruan, Ousmane Seydi and Glenn Webb
2020, 25(6) : ⅰ-ⅱ doi: 10.3934/dcdsb.2020125 +[Abstract](533) +[HTML](162) +[PDF](81.19KB)
Poxvirus, red and grey squirrel dynamics: Is the recovery of a common predator affecting system equilibria? Insights from a predator-prey ecoepidemic model
Elena Travaglia, Valentina La Morgia and Ezio Venturino
2020, 25(6) : 2023-2040 doi: 10.3934/dcdsb.2019200 +[Abstract](913) +[HTML](438) +[PDF](1200.63KB)
Takens–Bogdanov singularity for age structured models
Zhihua Liu and Rong Yuan
2020, 25(6) : 2041-2056 doi: 10.3934/dcdsb.2019201 +[Abstract](657) +[HTML](299) +[PDF](339.74KB)
A two-group age of infection epidemic model with periodic behavioral changes
Mamadou L. Diagne, Ousmane Seydi and Aissata A. B. Sy
2020, 25(6) : 2057-2092 doi: 10.3934/dcdsb.2019202 +[Abstract](727) +[HTML](293) +[PDF](446.64KB)
The operating diagram for a model of competition in a chemostat with an external lethal inhibitor
Bachir Bar and Tewfik Sari
2020, 25(6) : 2093-2120 doi: 10.3934/dcdsb.2019203 +[Abstract](824) +[HTML](318) +[PDF](1387.82KB)
A discrete model of competing species sharing a parasite
Rafael Bravo De La Parra and Luis Sanz
2020, 25(6) : 2121-2142 doi: 10.3934/dcdsb.2019204 +[Abstract](562) +[HTML](264) +[PDF](481.86KB)
Spreading speeds of rabies with territorial and diffusing rabid foxes
Khalaf M. Alanazi, Zdzislaw Jackiewicz and Horst R. Thieme
2020, 25(6) : 2143-2183 doi: 10.3934/dcdsb.2019222 +[Abstract](683) +[HTML](298) +[PDF](867.7KB)
Spatial spread of epidemic diseases in geographical settings: Seasonal influenza epidemics in Puerto Rico
Pierre Magal, Glenn F. Webb and Yixiang Wu
2020, 25(6) : 2185-2202 doi: 10.3934/dcdsb.2019223 +[Abstract](787) +[HTML](336) +[PDF](3955.21KB)
Density dependent replicator-mutator models in directed evolution
Matthieu Alfaro and Mario Veruete
2020, 25(6) : 2203-2221 doi: 10.3934/dcdsb.2019224 +[Abstract](510) +[HTML](253) +[PDF](725.64KB)
Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system
Jean-Baptiste Burie, Ramsès Djidjou-Demasse and Arnaud Ducrot
2020, 25(6) : 2223-2243 doi: 10.3934/dcdsb.2019225 +[Abstract](559) +[HTML](263) +[PDF](471.51KB)
Global dynamics of an age-structured model with relapse
Mohammed Nor Frioui, Tarik Mohammed Touaoula and Bedreddine Ainseba
2020, 25(6) : 2245-2270 doi: 10.3934/dcdsb.2019226 +[Abstract](718) +[HTML](305) +[PDF](697.6KB)
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions
Zhihua Liu and Pierre Magal
2020, 25(6) : 2271-2292 doi: 10.3934/dcdsb.2019227 +[Abstract](631) +[HTML](260) +[PDF](396.46KB)
Optimal intervention strategies of a SI-HIV models with differential infectivity and time delays
Mboya Ba, P. Tchinda Mouofo, Mountaga Lam and Jean-Jules Tewa
2020, 25(6) : 2293-2306 doi: 10.3934/dcdsb.2020035 +[Abstract](180) +[HTML](96) +[PDF](594.36KB)
Dynamics of a metapopulation epidemic model with localized culling
Luca Bolzoni, Rossella Della Marca, Maria Groppi and Alessandra Gragnani
2020, 25(6) : 2307-2330 doi: 10.3934/dcdsb.2020036 +[Abstract](178) +[HTML](120) +[PDF](408.14KB)
An adaptative model for a multistage structured population under fluctuating environment
B. Ainseba and S. M. Bouguima
2020, 25(6) : 2331-2349 doi: 10.3934/dcdsb.2020037 +[Abstract](156) +[HTML](93) +[PDF](385.14KB)
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](134) +[HTML](50) +[PDF](1528.58KB)
On the 1D modeling of fluid flowing through a Junction
Rinaldo M. Colombo and Mauro Garavello
2019doi: 10.3934/dcdsb.2019149 +[Abstract](778) +[HTML](428) +[PDF](537.93KB)
Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
Yoshikazu Giga, Hiroyoshi Mitake and Hung V. Tran
2019doi: 10.3934/dcdsb.2019228 +[Abstract](843) +[HTML](280) +[PDF](337.84KB)
Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation
Xingwang Yu and Sanling Yuan
2019doi: 10.3934/dcdsb.2020014 +[Abstract](339) +[HTML](185) +[PDF](863.01KB)
Complicated dynamics of tumor-immune system interaction model with distributed time delay
Min Yu, Gang Huang, Yueping Dong and Yasuhiro Takeuchi
2019doi: 10.3934/dcdsb.2020015 +[Abstract](349) +[HTML](161) +[PDF](549.97KB)
Stability of stochastic heroin model with two distributed delays
Miljana Jovanović and Vuk Vujović
2019doi: 10.3934/dcdsb.2020016 +[Abstract](400) +[HTML](161) +[PDF](3374.07KB)
Dynamical analysis of a diffusive SIRS model with general incidence rate
Yu Yang, Lan Zou, Tonghua Zhang and Yancong Xu
2019doi: 10.3934/dcdsb.2020017 +[Abstract](385) +[HTML](168) +[PDF](532.03KB)
Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply
Junde Wu and Shihe Xu
2019doi: 10.3934/dcdsb.2020018 +[Abstract](276) +[HTML](143) +[PDF](245.08KB)
Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise
Renhai Wang and Bixiang Wang
2019doi: 10.3934/dcdsb.2020019 +[Abstract](297) +[HTML](150) +[PDF](488.53KB)
Long term behavior of random Navier-Stokes equations driven by colored noise
Anhui Gu, Boling Guo and Bixiang Wang
2019doi: 10.3934/dcdsb.2020020 +[Abstract](356) +[HTML](137) +[PDF](447.25KB)
Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation
Zhi-Xue Zhao, Mapundi K. Banda and Bao-Zhu Guo
2020doi: 10.3934/dcdsb.2020021 +[Abstract](171) +[HTML](90) +[PDF](455.19KB)
Dynamics of positive steady-state solutions of a nonlocal dispersal logistic model with nonlocal terms
Li Ma and Youquan Luo
2020doi: 10.3934/dcdsb.2020022 +[Abstract](178) +[HTML](89) +[PDF](415.75KB)
Point vortices for inviscid generalized surface quasi-geostrophic models
Carina Geldhauser and Marco Romito
2020doi: 10.3934/dcdsb.2020023 +[Abstract](143) +[HTML](95) +[PDF](557.18KB)
On the stability and transition of the Cahn-Hilliard/Allen-Cahn system
Quan Wang and Dongming Yan
2020doi: 10.3934/dcdsb.2020024 +[Abstract](149) +[HTML](89) +[PDF](334.49KB)
The asymptotic behaviour of the $ p(x) $-Laplacian Steklov eigenvalue problem
Lujuan Yu
2020doi: 10.3934/dcdsb.2020025 +[Abstract](140) +[HTML](90) +[PDF](399.29KB)
Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy
Wenjie Li, Lihong Huang and Jinchen Ji
2020doi: 10.3934/dcdsb.2020026 +[Abstract](180) +[HTML](91) +[PDF](615.1KB)
The existence and exponential behavior of solutions to time fractional stochastic delay evolution inclusions with nonlinear multiplicative noise and fractional noise
Yajing Li and Yejuan Wang
2020doi: 10.3934/dcdsb.2020027 +[Abstract](161) +[HTML](92) +[PDF](507.99KB)
Probabilistic continuity of a pullback random attractor in time-sample
Shulin Wang and Yangrong Li
2020doi: 10.3934/dcdsb.2020028 +[Abstract](164) +[HTML](90) +[PDF](402.12KB)
Global solutions and random dynamical systems for rough evolution equations
Robert Hesse and Alexandra Neamţu
2020doi: 10.3934/dcdsb.2020029 +[Abstract](207) +[HTML](106) +[PDF](446.94KB)
No-oscillation theorem for the transient dynamics of the linear signal transduction pathway and beyond
Tiejun Li, Tongkai Li and Shaoying Lu
2020doi: 10.3934/dcdsb.2020030 +[Abstract](122) +[HTML](91) +[PDF](412.57KB)
Interior structural bifurcation of 2D symmetric incompressible flows
Deniz Bozkurt, Ali Deliceoğlu and Taylan Şengül
2020doi: 10.3934/dcdsb.2020032 +[Abstract](126) +[HTML](87) +[PDF](953.4KB)
Random attractors for stochastic time-dependent damped wave equation with critical exponents
Qingquan Chang, Dandan Li and Chunyou Sun
2020doi: 10.3934/dcdsb.2020033 +[Abstract](144) +[HTML](82) +[PDF](504.99KB)
Global smooth solution for the Sipn-Polarized transport equation with Landau-Lifshitz-Bloch equation
Boling Guo and Fangfang Li
2020doi: 10.3934/dcdsb.2020034 +[Abstract](143) +[HTML](92) +[PDF](284.21KB)
Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth
Sun-Sig Byun, Yumi Cho and Shuang Liang
2020doi: 10.3934/dcdsb.2020038 +[Abstract](157) +[HTML](98) +[PDF](355.23KB)
Hexagonal spike clusters for some PDE's in 2D
Theodore Kolokolnikov and Juncheng Wei
2020doi: 10.3934/dcdsb.2020039 +[Abstract](116) +[HTML](93) +[PDF](675.69KB)
Recent developments on a singular predator-prey model
Yu-Shuo Chen, Jong-Shenq Guo and Masahiko Shimojo
2020doi: 10.3934/dcdsb.2020040 +[Abstract](181) +[HTML](85) +[PDF](321.36KB)
Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response
Xin Jiang, Zhikun She and Shigui Ruan
2020doi: 10.3934/dcdsb.2020041 +[Abstract](188) +[HTML](105) +[PDF](1154.07KB)
Spatial pattern formation in activator-inhibitor models with nonlocal dispersal
Shanshan Chen, Junping Shi and Guohong Zhang
2020doi: 10.3934/dcdsb.2020042 +[Abstract](173) +[HTML](96) +[PDF](701.25KB)
On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime
Katharina Schratz and Xiaofei Zhao
2020doi: 10.3934/dcdsb.2020043 +[Abstract](186) +[HTML](108) +[PDF](723.98KB)
Bistable dynamics and Hopf bifurcation in a refined model of early stage HIV infection
Stephen Pankavich, Nathan Neri and Deborah Shutt
2020doi: 10.3934/dcdsb.2020044 +[Abstract](138) +[HTML](101) +[PDF](1454.39KB)
Pattern formation in a predator-mediated coexistence model with prey-taxis
Evan C. Haskell and Jonathan Bell
2020doi: 10.3934/dcdsb.2020045 +[Abstract](247) +[HTML](120) +[PDF](1377.49KB)
Discontinuous galerkin method for the helmholtz transmission problem in two-level homogeneous media
Qingjie Hu, Zhihao Ge and Yinnian He
2020doi: 10.3934/dcdsb.2020046 +[Abstract](142) +[HTML](89) +[PDF](1670.62KB)
Global existence and convergence rates of solutions for the compressible Euler equations with damping
Ruiying Wei, Yin Li and Zheng-an Yao
2020doi: 10.3934/dcdsb.2020047 +[Abstract](143) +[HTML](86) +[PDF](358.3KB)
Spectral theory and time asymptotics of size-structured two-phase population models
Mustapha Mokhtar-Kharroubi and Quentin Richard
2020doi: 10.3934/dcdsb.2020048 +[Abstract](182) +[HTML](92) +[PDF](402.83KB)
Periodic traveling wave solutions of periodic integrodifference systems
Guo Lin and Shuxia Pan
2020doi: 10.3934/dcdsb.2020049 +[Abstract](165) +[HTML](93) +[PDF](358.59KB)
The limits of solutions of a linear delay integral equation
Kazuki Himoto and Hideaki Matsunaga
2020doi: 10.3934/dcdsb.2020050 +[Abstract](154) +[HTML](86) +[PDF](305.32KB)
Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality
Jian Zu, Miaolei Li, Yuexi Gu and Shuting Fu
2020doi: 10.3934/dcdsb.2020051 +[Abstract](189) +[HTML](96) +[PDF](8594.71KB)
Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders
Young Hee Geum and Young Ik Kim
2020doi: 10.3934/dcdsb.2020052 +[Abstract](150) +[HTML](97) +[PDF](1917.64KB)
On a non-linear size-structured population model
Yunfei Lv, Yongzhen Pei and Rong Yuan
2020doi: 10.3934/dcdsb.2020053 +[Abstract](136) +[HTML](89) +[PDF](156.1KB)
Attractors for a class of delayed reaction-diffusion equations with dynamic boundary conditions
Jihoon Lee and Vu Manh Toi
2020doi: 10.3934/dcdsb.2020054 +[Abstract](157) +[HTML](104) +[PDF](337.01KB)
Random exponential attractor for stochastic discrete long wave-short wave resonance equation with multiplicative white noise
Xingni Tan, Fuqi Yin and Guihong Fan
2020doi: 10.3934/dcdsb.2020055 +[Abstract](216) +[HTML](96) +[PDF](196.15KB)
Global attraction in a system of delay differential equations via compact and convex sets
Sebastián Buedo-Fernández
2020doi: 10.3934/dcdsb.2020056 +[Abstract](150) +[HTML](82) +[PDF](320.17KB)
Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation
Bo You and Chunxiang Zhao
2020doi: 10.3934/dcdsb.2020057 +[Abstract](121) +[HTML](89) +[PDF](394.42KB)
Exit problem for Ornstein-Uhlenbeck processes: A random walk approach
Samuel Herrmann and Nicolas Massin
2020doi: 10.3934/dcdsb.2020058 +[Abstract](144) +[HTML](97) +[PDF](517.98KB)
Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay
Wei Mao, Liangjian Hu and Xuerong Mao
2020doi: 10.3934/dcdsb.2020059 +[Abstract](178) +[HTML](91) +[PDF](306.39KB)
Random attractor for stochastic Hindmarsh-Rose equations with multiplicative noise
Chi Phan
2020doi: 10.3934/dcdsb.2020060 +[Abstract](160) +[HTML](92) +[PDF](455.69KB)
On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures
Zhiyuan Wen and Meirong Zhang
2020doi: 10.3934/dcdsb.2020061 +[Abstract](142) +[HTML](98) +[PDF](359.35KB)
Null controllability for distributed systems with time-varying constraint and applications to parabolic-like equations
Larbi Berrahmoune
2020doi: 10.3934/dcdsb.2020062 +[Abstract](225) +[HTML](127) +[PDF](470.22KB)
Geometric method for global stability of discrete population models
Zhanyuan Hou
2020doi: 10.3934/dcdsb.2020063 +[Abstract](218) +[HTML](116) +[PDF](773.42KB)
Global existence and asymptotic behavior of solutions to a chemotaxis system with chemicals and prey-predator terms
Mihaela Negreanu
2020doi: 10.3934/dcdsb.2020064 +[Abstract](238) +[HTML](151) +[PDF](340.04KB)
Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations
Hong Lu, Ji Li and Mingji Zhang
2020doi: 10.3934/dcdsb.2020065 +[Abstract](233) +[HTML](112) +[PDF](373.98KB)
Dynamical behavior of a rotavirus disease model with two strains and homotypic protection
Kun Lu, Wendi Wang and Jianquan Li
2020doi: 10.3934/dcdsb.2020066 +[Abstract](165) +[HTML](113) +[PDF](444.87KB)
Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations
Manil T. Mohan
2020doi: 10.3934/dcdsb.2020067 +[Abstract](256) +[HTML](135) +[PDF](579.11KB)
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
Ling Liu, Jiashan Zheng and Gui Bao
2020doi: 10.3934/dcdsb.2020068 +[Abstract](228) +[HTML](120) +[PDF](439.83KB)
Double zero singularity and spatiotemporal patterns in a diffusive predator-prey model with nonlocal prey competition
Xun Cao and Weihua Jiang
2020doi: 10.3934/dcdsb.2020069 +[Abstract](208) +[HTML](129) +[PDF](996.99KB)
Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China
Hongyong Zhao, Peng Wu and Shigui Ruan
2020doi: 10.3934/dcdsb.2020070 +[Abstract](246) +[HTML](127) +[PDF](2003.83KB)
Dynamics of a stage-structured population model with a state-dependent delay
Shangzhi Li and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020071 +[Abstract](233) +[HTML](130) +[PDF](452.52KB)
Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise
Hong Lu and Mingji Zhang
2020doi: 10.3934/dcdsb.2020072 +[Abstract](173) +[HTML](128) +[PDF](372.01KB)
Singular renormalization group approach to SIS problems
Ning Sun, Shaoyun Shi and Wenlei Li
2020doi: 10.3934/dcdsb.2020073 +[Abstract](206) +[HTML](112) +[PDF](369.46KB)
Assignability of dichotomy spectra for discrete time-varying linear control systems
Le Viet Cuong and Thai Son Doan
2020doi: 10.3934/dcdsb.2020074 +[Abstract](237) +[HTML](117) +[PDF](282.0KB)
Influence of mutations in phenotypically-structured populations in time periodic environment
Cécile Carrère and Grégoire Nadin
2020doi: 10.3934/dcdsb.2020075 +[Abstract](195) +[HTML](133) +[PDF](450.5KB)
Approximating exit times of continuous Markov processes
Thomas Kruse and Mikhail Urusov
2020doi: 10.3934/dcdsb.2020076 +[Abstract](220) +[HTML](125) +[PDF](378.22KB)
Stability of delay differential equations with fading stochastic perturbations of the type of white noise and poisson's jumps
Leonid Shaikhet
2020doi: 10.3934/dcdsb.2020077 +[Abstract](230) +[HTML](127) +[PDF](149.13KB)
Estimating the division rate from indirect measurements of single cells
Marie Doumic, Adélaïde Olivier and Lydia Robert
2020doi: 10.3934/dcdsb.2020078 +[Abstract](187) +[HTML](118) +[PDF](3310.79KB)
Generalized solutions to models of inviscid fluids
Dominic Breit, Eduard Feireisl and Martina Hofmanová
2020doi: 10.3934/dcdsb.2020079 +[Abstract](205) +[HTML](147) +[PDF](368.8KB)
Exact controllability of the linear Zakharov-Kuznetsov equation
Mo Chen and Lionel Rosier
2020doi: 10.3934/dcdsb.2020080 +[Abstract](224) +[HTML](130) +[PDF](419.27KB)
A spatially heterogeneous predator-prey model
Julián López-Gómez and Eduardo Muñoz-Hernández
2020doi: 10.3934/dcdsb.2020081 +[Abstract](286) +[HTML](143) +[PDF](470.11KB)
Asymptotic behavior of solutions of Aoki-Shida-Shigesada model in bounded domains
Ján Eliaš, Masayasu Mimura and Ryunosuke Mori
2020doi: 10.3934/dcdsb.2020082 +[Abstract](206) +[HTML](130) +[PDF](286.32KB)
On a singularly perturbed semi-linear problem with Robin boundary conditions
Qianqian Hou, Tai-Chia Lin and Zhi-An Wang
2020doi: 10.3934/dcdsb.2020083 +[Abstract](239) +[HTML](123) +[PDF](343.92KB)
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
Huijuan Song, Bei Hu and Zejia Wang
2020doi: 10.3934/dcdsb.2020084 +[Abstract](298) +[HTML](139) +[PDF](443.97KB)
A note on a neuron network model with diffusion
Philippe Michel and Suman Kumar Tumuluri
2020doi: 10.3934/dcdsb.2020085 +[Abstract](18) +[HTML](17) +[PDF](381.72KB)
From approximate synchronization to identical synchronization in coupled systems
Chih-Wen Shih and Jui-Pin Tseng
2020doi: 10.3934/dcdsb.2020086 +[Abstract](25) +[HTML](19) +[PDF](965.84KB)
Local and global well-posedness in the energy space for the dissipative Zakharov-Kuznetsov equation in 3D
Mohamad Darwich
2020doi: 10.3934/dcdsb.2020087 +[Abstract](58) +[HTML](27) +[PDF](364.66KB)
Local orthogonal rectification: Deriving natural coordinates to study flows relative to manifolds
Benjamin Letson and Jonathan E. Rubin
2020doi: 10.3934/dcdsb.2020088 +[Abstract](17) +[HTML](14) +[PDF](1946.22KB)
A second order accuracy in time, Fourier pseudo-spectral numerical scheme for "Good" Boussinesq equation
Zeyu Xia and Xiaofeng Yang
2020doi: 10.3934/dcdsb.2020089 +[Abstract](21) +[HTML](11) +[PDF](418.68KB)
Analysis of nanofluid flow past a permeable stretching/shrinking sheet
Joseph E. Paullet and Joseph P. Previte
2020doi: 10.3934/dcdsb.2020090 +[Abstract](18) +[HTML](16) +[PDF](295.62KB)
Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case
Eva Stadler and Johannes Müller
2020doi: 10.3934/dcdsb.2020091 +[Abstract](21) +[HTML](13) +[PDF](636.62KB)
Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model
Georges Chamoun, Moustafa Ibrahim, Mazen Saad and Raafat Talhouk
2020doi: 10.3934/dcdsb.2020092 +[Abstract](32) +[HTML](23) +[PDF](5480.97KB)
Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment
Rong Zou and Shangjiang Guo
2020doi: 10.3934/dcdsb.2020093 +[Abstract](20) +[HTML](17) +[PDF](440.63KB)
A note on global stability in the periodic logistic map
Rafael Luís and Sandra Mendonça
2020doi: 10.3934/dcdsb.2020094 +[Abstract](14) +[HTML](13) +[PDF](3688.7KB)
Fractional approximations of abstract semilinear parabolic problems
Flank D. M. Bezerra, Alexandre N. Carvalho and Marcelo J. D. Nascimento
2020doi: 10.3934/dcdsb.2020095 +[Abstract](18) +[HTML](14) +[PDF](554.3KB)
Extension, embedding and global stability in two dimensional monotone maps
Ahmad Al-Salman, Ziyad AlSharawi and Sadok Kallel
2020doi: 10.3934/dcdsb.2020096 +[Abstract](16) +[HTML](12) +[PDF](510.18KB)
On global large energy solutions to the viscous shallow water equations
Xiaoping Zhai and Hailong Ye
2020doi: 10.3934/dcdsb.2020097 +[Abstract](15) +[HTML](11) +[PDF](443.79KB)
On the approaching time towards the attractor of differential equations perturbed by small noise
Isabell Vorkastner
2020doi: 10.3934/dcdsb.2020098 +[Abstract](19) +[HTML](12) +[PDF](782.69KB)
Global strong solution to the two dimensional nonhomogeneous incompressible heat conducting Navier-Stokes flows with vacuum
Yongfu Wang
2020doi: 10.3934/dcdsb.2020099 +[Abstract](22) +[HTML](12) +[PDF](377.04KB)
Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations
Dandan Ma, Ji Shu and Ling Qin
2020doi: 10.3934/dcdsb.2020100 +[Abstract](21) +[HTML](15) +[PDF](562.32KB)
Positive periodic solution for generalized Basener-Ross model
Zhibo Cheng and Xiaoxiao Cui
2020doi: 10.3934/dcdsb.2020101 +[Abstract](23) +[HTML](12) +[PDF](409.43KB)
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
Genglin Li, Youshan Tao and Michael Winkler
2020doi: 10.3934/dcdsb.2020102 +[Abstract](14) +[HTML](20) +[PDF](400.37KB)
Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition
Jiayue Zheng and Shangbin Cui
2020doi: 10.3934/dcdsb.2020103 +[Abstract](16) +[HTML](25) +[PDF](456.92KB)
Modelling fungal competition for space:Towards prediction of community dynamics
Diogenis A. Kiziridis, Mike S. Fowler and Chenggui Yuan
2020doi: 10.3934/dcdsb.2020104 +[Abstract](22) +[HTML](16) +[PDF](3170.04KB)
Kink solitary solutions to a hepatitis C evolution model
Tadas Telksnys, Zenonas Navickas, Miguel A. F. Sanjuán, Romas Marcinkevicius and Minvydas Ragulskis
2020doi: 10.3934/dcdsb.2020106 +[Abstract](72) +[HTML](32) +[PDF](1404.42KB)
Mathematical analysis of an age structured heroin-cocaine epidemic model
Abdennasser Chekroun, Mohammed Nor Frioui, Toshikazu Kuniya and Tarik Mohammed Touaoula
2020doi: 10.3934/dcdsb.2020107 +[Abstract](75) +[HTML](28) +[PDF](637.63KB)
Spreading speeds for a class of non-local convolution differential equation
Zhaoquan Xu and Chufen Wu
2020doi: 10.3934/dcdsb.2020108 +[Abstract](57) +[HTML](27) +[PDF](344.19KB)
Almost sure exponential stabilization and suppression by periodically intermittent stochastic perturbation with jumps
Wensheng Yin and Jinde Cao
2020doi: 10.3934/dcdsb.2020109 +[Abstract](128) +[HTML](47) +[PDF](689.21KB)
A new blowup criterion for strong solutions of the compressible nematic liquid crystal flow
Sili Liu, Xinhua Zhao and Yingshan Chen
2020doi: 10.3934/dcdsb.2020110 +[Abstract](43) +[HTML](30) +[PDF](356.09KB)
Consensus in discrete-time multi-agent systems with uncertain topologies and random delays governed by a Markov chain
Xi Zhu, Meixia Li and Chunfa Li
2020doi: 10.3934/dcdsb.2020111 +[Abstract](68) +[HTML](31) +[PDF](665.07KB)
Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations
Vladimir Angulo-Castillo and Lucas C. F. Ferreira
2020doi: 10.3934/dcdsb.2020112 +[Abstract](55) +[HTML](28) +[PDF](402.31KB)
Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation
Yong-Guo Shi
2020doi: 10.3934/dcdsb.2020113 +[Abstract](53) +[HTML](30) +[PDF](320.55KB)
A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
Liangchen Wang and Chunlai Mu
2020doi: 10.3934/dcdsb.2020114 +[Abstract](65) +[HTML](27) +[PDF](418.89KB)
A blow-up criterion of strong solutions to two-dimensional nonhomogeneous micropolar fluid equations with vacuum
Xin Zhong
2020doi: 10.3934/dcdsb.2020115 +[Abstract](56) +[HTML](28) +[PDF](330.13KB)
Uniform attractors of stochastic two-compartment Gray-Scott system with multiplicative noise
Junwei Feng, Hui Liu and Jie Xin
2020doi: 10.3934/dcdsb.2020116 +[Abstract](77) +[HTML](25) +[PDF](391.38KB)
Bifurcation analysis and dynamic behavior to a predator-prey model with Beddington-DeAngelis functional response and protection zone
Xiao He and Sining Zheng
2020doi: 10.3934/dcdsb.2020117 +[Abstract](68) +[HTML](31) +[PDF](324.82KB)
A delayed differential equation model for mosquito population suppression with sterile mosquitoes
Yuanxian Hui, Genghong Lin, Jianshe Yu and Jia Li
2020doi: 10.3934/dcdsb.2020118 +[Abstract](118) +[HTML](51) +[PDF](563.25KB)
Effects of travel frequency on the persistence of mosquito-borne diseases
Xianyun Chen and Daozhou Gao
2020doi: 10.3934/dcdsb.2020119 +[Abstract](79) +[HTML](32) +[PDF](1161.82KB)
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation
Frederic Heihoff
2020doi: 10.3934/dcdsb.2020120 +[Abstract](77) +[HTML](26) +[PDF](416.62KB)
Free boundary problems with nonlocal and local diffusions Ⅱ: Spreading-vanishing and long-time behavior
Jianping Wang and Mingxin Wang
2020doi: 10.3934/dcdsb.2020121 +[Abstract](76) +[HTML](34) +[PDF](362.32KB)
Periodic solutions for SDEs through upper and lower solutions
Chunyan Ji, Xue Yang and Yong Li
2020doi: 10.3934/dcdsb.2020122 +[Abstract](62) +[HTML](29) +[PDF](397.99KB)
Wolbachia infection dynamics in mosquito population with the CI effect suffering by uninfected ova produced by infected females
Hui Wan, Yunyan Cao and Ling Xue
2020doi: 10.3934/dcdsb.2020123 +[Abstract](84) +[HTML](30) +[PDF](2112.0KB)
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](3715) +[PDF](239.9KB) Cited By(102)
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](3476) +[PDF](139.6KB) Cited By(92)
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](2827) +[PDF](226.2KB) Cited By(71)
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](3180) +[PDF](197.7KB) Cited By(62)
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](3923) +[PDF](596.7KB) Cited By(59)
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](3095) +[PDF](264.3KB) Cited By(59)
Modelling and analysis of integrated pest management strategy
Sanyi Tang and Lansun Chen
2004, 4(3) : 759-768 doi: 10.3934/dcdsb.2004.4.759 +[Abstract](3782) +[PDF](161.3KB) Cited By(49)
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](2722) +[PDF](2040.6KB) Cited By(48)
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](2310) +[PDF](479.5KB) Cited By(46)
Infinite propagation speed for a two component Camassa-Holm equation
David Henry
2009, 12(3) : 597-606 doi: 10.3934/dcdsb.2009.12.597 +[Abstract](2848) +[PDF](181.0KB) Cited By(46)
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](1749) +[PDF](334.6KB) PDF Downloads(2930)
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](1872) +[HTML](424) +[PDF](450.24KB) PDF Downloads(1560)
Fractional Navier-Stokes equations
Jan W. Cholewa and Tomasz Dlotko
2018, 23(8) : 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](5893) +[HTML](1161) +[PDF](566.06KB) PDF Downloads(385)
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](2165) +[HTML](502) +[PDF](433.24KB) PDF Downloads(369)
Positive solutions to the unstirred chemostat model with Crowley-Martin functional response
Hai-Xia Li, Jian-Hua Wu, Yan-Ling Li and Chun-An Liu
2018, 23(8) : 2951-2966 doi: 10.3934/dcdsb.2017128 +[Abstract](7462) +[HTML](764) +[PDF](481.89KB) PDF Downloads(353)
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](5614) +[HTML](840) +[PDF](2371.8KB) PDF Downloads(325)
Global existence and stability in a two-species chemotaxis system
Huanhuan Qiu and Shangjiang Guo
2019, 24(4) : 1569-1587 doi: 10.3934/dcdsb.2018220 +[Abstract](3199) +[HTML](780) +[PDF](1079.83KB) PDF Downloads(316)
On a free boundary problem for a nonlocal reaction-diffusion model
Jia-Feng Cao, Wan-Tong Li and Meng Zhao
2018, 23(10) : 4117-4139 doi: 10.3934/dcdsb.2018128 +[Abstract](4114) +[HTML](601) +[PDF](474.87KB) PDF Downloads(293)
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](376) +[HTML](134) +[PDF](4277.85KB) PDF Downloads(290)
Preface: Population dynamics in epidemiology and ecology
Luca Gerardo-Giorda, Pierre Magal, Shigui Ruan, Ousmane Seydi and Glenn Webb
2020, 25(6) : ⅰ-ⅱ doi: 10.3934/dcdsb.2020125 +[Abstract](533) +[HTML](162) +[PDF](81.19KB) PDF Downloads(289)

2018  Impact Factor: 1.008




Email Alert

[Back to Top]