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

DCDS-B is edited by a global community of leading scientists to guarantee its high standards and a close link to the scientific and engineering communities. A unique feature of this journal is its streamlined review process and rapid publication. Authors are kept informed at all times throughout the process through the rapid, direct and personal communication between the authors and editors.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 12 issues a year, monthly.
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A note on the stochastic Ericksen-Leslie equations for nematic liquid crystals
Zdzisław Brzeźniak, Erika Hausenblas and Paul André Razafimandimby
2019, 24(11) : 5785-5802 doi: 10.3934/dcdsb.2019106 +[Abstract](279) +[HTML](155) +[PDF](535.33KB)
Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms
Fanchao Kong and Juan J. Nieto
2019, 24(11) : 5803-5830 doi: 10.3934/dcdsb.2019107 +[Abstract](244) +[HTML](180) +[PDF](1530.12KB)
Strong convergence of neutral stochastic functional differential equations with two time-scales
Junhao Hu and Chenggui Yuan
2019, 24(11) : 5831-5848 doi: 10.3934/dcdsb.2019108 +[Abstract](331) +[HTML](141) +[PDF](418.66KB)
Modelling the effects of contaminated environments in mainland China on seasonal HFMD infections and the potential benefit of a pulse vaccination strategy
Jinyan Wang, Yanni Xiao and Robert A. Cheke
2019, 24(11) : 5849-5870 doi: 10.3934/dcdsb.2019109 +[Abstract](288) +[HTML](169) +[PDF](802.81KB)
Quasi sure exponential stabilization of nonlinear systems via intermittent $ G $-Brownian motion
Yong Ren and Wensheng Yin
2019, 24(11) : 5871-5883 doi: 10.3934/dcdsb.2019110 +[Abstract](252) +[HTML](137) +[PDF](420.4KB)
On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium
Shimin Li and Jaume Llibre
2019, 24(11) : 5885-5901 doi: 10.3934/dcdsb.2019111 +[Abstract](323) +[HTML](229) +[PDF](626.94KB)
Analysis of minimizers of the Lawrence-Doniach energy for superconductors in applied fields
Patricia Bauman and Guanying Peng
2019, 24(11) : 5903-5926 doi: 10.3934/dcdsb.2019112 +[Abstract](247) +[HTML](135) +[PDF](490.9KB)
Almost periodic solutions and stable solutions for stochastic differential equations
Yong Li, Zhenxin Liu and Wenhe Wang
2019, 24(11) : 5927-5944 doi: 10.3934/dcdsb.2019113 +[Abstract](296) +[HTML](138) +[PDF](420.42KB)
Asymptotic behavior of an SIR reaction-diffusion model with a linear source
Keng Deng
2019, 24(11) : 5945-5957 doi: 10.3934/dcdsb.2019114 +[Abstract](320) +[HTML](148) +[PDF](375.49KB)
Upper semicontinuity of random attractors for the stochastic non-autonomous suspension bridge equation with memory
Ling Xu, Jianhua Huang and Qiaozhen Ma
2019, 24(11) : 5959-5979 doi: 10.3934/dcdsb.2019115 +[Abstract](287) +[HTML](135) +[PDF](524.07KB)
Stable solution induced by domain geometry in the heat equation with nonlinear boundary conditions on surfaces of revolution
Maicon Sônego
2019, 24(11) : 5981-5988 doi: 10.3934/dcdsb.2019116 +[Abstract](321) +[HTML](131) +[PDF](305.4KB)
Dynamic transitions and stability for the acetabularia whorl formation
Yiqiu Mao, Dongming Yan and ChunHsien Lu
2019, 24(11) : 5989-6004 doi: 10.3934/dcdsb.2019117 +[Abstract](237) +[HTML](138) +[PDF](2244.68KB)
Bautin bifurcation in delayed reaction-diffusion systems with application to the segel-jackson model
Yuxiao Guo and Ben Niu
2019, 24(11) : 6005-6024 doi: 10.3934/dcdsb.2019118 +[Abstract](279) +[HTML](157) +[PDF](810.75KB)
Applying battelli-fečkan's method to transversal heteroclinic bifurcation in piecewise smooth systems
Yurong Li and Zhengdong Du
2019, 24(11) : 6025-6052 doi: 10.3934/dcdsb.2019119 +[Abstract](315) +[HTML](143) +[PDF](617.63KB)
Coexisting hidden attractors in a 5D segmented disc dynamo with three types of equilibria
Jianghong Bao, Dandan Chen, Yongjian Liu and Hongbo Deng
2019, 24(11) : 6053-6069 doi: 10.3934/dcdsb.2019130 +[Abstract](129) +[HTML](56) +[PDF](5087.54KB)
Ground state solutions of fractional Schrödinger equations with potentials and weak monotonicity condition on the nonlinear term
Chao Ji
2019, 24(11) : 6071-6089 doi: 10.3934/dcdsb.2019131 +[Abstract](354) +[HTML](154) +[PDF](453.84KB)
A Max-Cut approximation using a graph based MBO scheme
Blaine Keetch and Yves Van Gennip
2019, 24(11) : 6091-6139 doi: 10.3934/dcdsb.2019132 +[Abstract](107) +[HTML](85) +[PDF](1758.89KB)
Global weak solution to the quantum Navier-Stokes-Landau-Lifshitz equations with density-dependent viscosity
Guangwu Wang and Boling Guo
2019, 24(11) : 6141-6166 doi: 10.3934/dcdsb.2019133 +[Abstract](122) +[HTML](94) +[PDF](502.3KB)
Linearized stability for abstract functional differential equations subject to state-dependent delays with applications
Jitai Liang, Ben Niu and Junjie Wei
2019, 24(11) : 6167-6188 doi: 10.3934/dcdsb.2019134 +[Abstract](134) +[HTML](55) +[PDF](516.55KB)
An interface-free multi-scale multi-order model for traffic flow
Emiliano Cristiani and Elisa Iacomini
2019, 24(11) : 6189-6207 doi: 10.3934/dcdsb.2019135 +[Abstract](128) +[HTML](58) +[PDF](4090.54KB)
Portfolio optimization and model predictive control: A kinetic approach
Torsten Trimborn, Lorenzo Pareschi and Martin Frank
2019, 24(11) : 6209-6238 doi: 10.3934/dcdsb.2019136 +[Abstract](124) +[HTML](66) +[PDF](1462.32KB)
Analysis of a reaction diffusion model for a reservoir supported spread of infectious disease
W. E. Fitzgibbon and J. J. Morgan
2019, 24(11) : 6239-6259 doi: 10.3934/dcdsb.2019137 +[Abstract](111) +[HTML](51) +[PDF](427.85KB)
Dynamics of a chemostat system with two patches
Shikun Wang
2019, 24(11) : 6261-6278 doi: 10.3934/dcdsb.2019138 +[Abstract](99) +[HTML](83) +[PDF](255.99KB)
Bifurcation analysis of a mosquito population model for proportional releasing sterile mosquitoes
Liming Cai, Jicai Huang, Xinyu Song and Yuyue Zhang
2019, 24(11) : 6279-6295 doi: 10.3934/dcdsb.2019139 +[Abstract](145) +[HTML](62) +[PDF](1692.5KB)
Effects of migration on vector-borne diseases with forward and backward stage progression
Derdei Mahamat Bichara
2019, 24(11) : 6297-6323 doi: 10.3934/dcdsb.2019140 +[Abstract](157) +[HTML](85) +[PDF](957.72KB)
Efficient numerical schemes for two-dimensional Ginzburg-Landau equation in superconductivity
Linghua Kong, Liqun Kuang and Tingchun Wang
2019doi: 10.3934/dcdsb.2019141 +[Abstract](110) +[HTML](64) +[PDF](1784.28KB)
On the $ L^p $ regularity of solutions to the generalized Hunter-Saxton system
Jaeho Choi, Nitin Krishna, Nicole Magill and Alejandro Sarria
2019doi: 10.3934/dcdsb.2019142 +[Abstract](109) +[HTML](55) +[PDF](436.91KB)
Dynamics of a stochastic hepatitis C virus system with host immunity
Tao Feng, Zhipeng Qiu and Xinzhu Meng
2019doi: 10.3934/dcdsb.2019143 +[Abstract](106) +[HTML](98) +[PDF](616.89KB)
A hybrid method for stiff reaction–diffusion equations
Yuchi Qiu, Weitao Chen and Qing Nie
2019doi: 10.3934/dcdsb.2019144 +[Abstract](109) +[HTML](101) +[PDF](686.76KB)
Global bounded and unbounded solutions to a chemotaxis system with indirect signal production
Philippe Laurençot
2019doi: 10.3934/dcdsb.2019145 +[Abstract](108) +[HTML](56) +[PDF](500.0KB)
Second-order linear structure-preserving modified finite volume schemes for the regularized long wave equation
Qi Hong, Jialing Wang and Yuezheng Gong
2019doi: 10.3934/dcdsb.2019146 +[Abstract](130) +[HTML](65) +[PDF](756.0KB)
Traveling waves in a chemotaxis model with logistic growth
Tong Li and Jeungeun Park
2019doi: 10.3934/dcdsb.2019147 +[Abstract](121) +[HTML](77) +[PDF](492.11KB)
Non-oscillation principle for eventually competitive and cooperative systems
Lin Niu and Yi Wang
2019doi: 10.3934/dcdsb.2019148 +[Abstract](104) +[HTML](53) +[PDF](414.81KB)
On the 1D modeling of fluid flowing through a Junction
Rinaldo M. Colombo and Mauro Garavello
2019doi: 10.3934/dcdsb.2019149 +[Abstract](106) +[HTML](71) +[PDF](537.93KB)
Centers of discontinuous piecewise smooth quasi–homogeneous polynomial differential systems
Hebai Chen, Jaume Llibre and Yilei Tang
2019doi: 10.3934/dcdsb.2019150 +[Abstract](151) +[HTML](63) +[PDF](443.78KB)
Multi-scale modeling of processes in porous media - coupling reaction-diffusion processes in the solid and the fluid phase and on the separating interfaces
Markus Gahn
2019doi: 10.3934/dcdsb.2019151 +[Abstract](109) +[HTML](64) +[PDF](456.03KB)
Stability in measure for uncertain heat equations
Xiangfeng Yang
2019doi: 10.3934/dcdsb.2019152 +[Abstract](101) +[HTML](53) +[PDF](295.12KB)
Cyclicity of $ (1,3) $-switching FF type equilibria
Xingwu Chen, Jaume Llibre and Weinian Zhang
2019doi: 10.3934/dcdsb.2019153 +[Abstract](142) +[HTML](63) +[PDF](351.81KB)
Nonlinear decomposition principle and fundamental matrix solutions for dynamic compartmental systems
Huseyin Coskun
2019doi: 10.3934/dcdsb.2019155 +[Abstract](781) +[HTML](162) +[PDF](988.93KB)
Coinfection in a stochastic model for bacteriophage systems
Xavier Bardina, Sílvia Cuadrado and Carles Rovira
2019doi: 10.3934/dcdsb.2019158 +[Abstract](144) +[HTML](72) +[PDF](298.2KB)
On the dynamics of a durable commodity market
Jose S. Cánovas and María Muñoz-Guillermo
2019doi: 10.3934/dcdsb.2019159 +[Abstract](127) +[HTML](66) +[PDF](559.84KB)
Continuity for the rotation-two-component Camassa-Holm system
Chenghua Wang, Rong Zeng, Shouming Zhou, Bin Wang and Chunlai Mu
2019doi: 10.3934/dcdsb.2019160 +[Abstract](141) +[HTML](66) +[PDF](399.87KB)
GRE methods for nonlinear model of evolution equation and limited ressource environment
Philippe Michel and Bhargav Kumar Kakumani
2019doi: 10.3934/dcdsb.2019161 +[Abstract](134) +[HTML](61) +[PDF](399.84KB)
Boundary perturbations and steady states of structured populations
Àngel Calsina and József Z. Farkas
2019doi: 10.3934/dcdsb.2019162 +[Abstract](125) +[HTML](55) +[PDF](403.26KB)
Trait selection and rare mutations: The case of large diffusivities
Idriss Mazari
2019doi: 10.3934/dcdsb.2019163 +[Abstract](133) +[HTML](99) +[PDF](406.58KB)
Remark on exponential decay-in-time of global strong solutions to 3D inhomogeneous incompressible micropolar equations
Zhuan Ye
2019doi: 10.3934/dcdsb.2019164 +[Abstract](141) +[HTML](53) +[PDF](318.71KB)
Semidefinite approximations of invariant measures for polynomial systems
Victor Magron, Marcelo Forets and Didier Henrion
2019doi: 10.3934/dcdsb.2019165 +[Abstract](140) +[HTML](62) +[PDF](890.09KB)
Remarks on basic reproduction ratios for periodic abstract functional differential equations
Tianhui Yang and Lei Zhang
2019doi: 10.3934/dcdsb.2019166 +[Abstract](150) +[HTML](83) +[PDF](333.06KB)
Bifurcation analysis of an enzyme-catalyzed reaction system with branched sink
Juan Su, Bing Xu and Lan Zou
2019doi: 10.3934/dcdsb.2019167 +[Abstract](134) +[HTML](64) +[PDF](7537.49KB)
Flocking of Cucker-Smale model with intrinsic dynamics
Lining Ru and Xiaoping Xue
2019doi: 10.3934/dcdsb.2019168 +[Abstract](149) +[HTML](79) +[PDF](475.1KB)
On global existence and blow-up for damped stochastic nonlinear Schrödinger equation
Jianbo Cui, Jialin Hong and Liying Sun
2019doi: 10.3934/dcdsb.2019169 +[Abstract](143) +[HTML](49) +[PDF](396.35KB)
Singular perturbations and scaling
Christian Lax and Sebastian Walcher
2019doi: 10.3934/dcdsb.2019170 +[Abstract](130) +[HTML](58) +[PDF](399.1KB)
Quasi-periodic solutions for a class of beam equation system
Yanling Shi and Junxiang Xu
2019doi: 10.3934/dcdsb.2019171 +[Abstract](142) +[HTML](72) +[PDF](446.77KB)
Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping
Fang Li and Bo You
2019doi: 10.3934/dcdsb.2019172 +[Abstract](142) +[HTML](62) +[PDF](398.7KB)
Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment
Chengxia Lei, Jie Xiong and Xinhui Zhou
2019doi: 10.3934/dcdsb.2019173 +[Abstract](139) +[HTML](91) +[PDF](332.95KB)
Detailed analytic study of the compact pairwise model for SIS epidemic propagation on networks
Noémi Nagy and Péter L. Simon
2019doi: 10.3934/dcdsb.2019174 +[Abstract](123) +[HTML](60) +[PDF](410.32KB)
Stochastic partial differential equation models for spatially dependent predator-prey equations
Nhu N. Nguyen and George Yin
2019doi: 10.3934/dcdsb.2019175 +[Abstract](145) +[HTML](107) +[PDF](402.03KB)
Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries
Shuang Liu and Xinfeng Liu
2019doi: 10.3934/dcdsb.2019176 +[Abstract](159) +[HTML](82) +[PDF](433.75KB)
Some remarks on the Robust Stackelberg controllability for the heat equation with controls on the boundary
Víctor Hernández-Santamaría and Liliana Peralta
2019doi: 10.3934/dcdsb.2019177 +[Abstract](134) +[HTML](82) +[PDF](479.46KB)
Boundedness and stabilization in a two-species chemotaxis system with two chemicals
Liangchen Wang, Jing Zhang, Chunlai Mu and Xuegang Hu
2019doi: 10.3934/dcdsb.2019178 +[Abstract](148) +[HTML](79) +[PDF](475.99KB)
Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness
Zhiming Liu and Zhijian Yang
2019doi: 10.3934/dcdsb.2019179 +[Abstract](142) +[HTML](68) +[PDF](330.34KB)
Analytical formula and dynamic profile of mRNA distribution
Feng Jiao, Jian Ren and Jianshe Yu
2019doi: 10.3934/dcdsb.2019180 +[Abstract](131) +[HTML](86) +[PDF](1443.27KB)
Analysis of time-domain Maxwell's equations in biperiodic structures
Gang Bao, Bin Hu, Peijun Li and Jue Wang
2019doi: 10.3934/dcdsb.2019181 +[Abstract](141) +[HTML](69) +[PDF](422.06KB)
Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay
Ya Wang, Fuke Wu, Xuerong Mao and Enwen Zhu
2019doi: 10.3934/dcdsb.2019182 +[Abstract](132) +[HTML](75) +[PDF](309.89KB)
Pullback exponential attractors for differential equations with variable delays
Mohamed Ali Hammami, Lassaad Mchiria, Sana Netchaoui and Stefanie Sonner
2019doi: 10.3934/dcdsb.2019183 +[Abstract](169) +[HTML](72) +[PDF](349.5KB)
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](2963) +[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](2649) +[PDF](139.6KB) Cited By(92)
Analysis of upscaling absolute permeability
X.H. Wu, Y. Efendiev and Thomas Y. Hou
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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](2376) +[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](2938) +[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](2277) +[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](2830) +[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
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2008, 10(1) : 221-238 doi: 10.3934/dcdsb.2008.10.221 +[Abstract](2076) +[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
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Infinite propagation speed for a two component Camassa-Holm equation
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Positive solutions to the unstirred chemostat model with Crowley-Martin functional response
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Fractional Navier-Stokes equations
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2018, 23(8) : 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](4478) +[HTML](1086) +[PDF](566.06KB) PDF Downloads(306)
The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients
Wei Mao, Liangjian Hu, Surong You and Xuerong Mao
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Global existence and stability in a two-species chemotaxis system
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Spreading speed and traveling waves for a non-local delayed reaction-diffusion system without quasi-monotonicity
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Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping
Fang Li, Bo You and Yao Xu
2018, 23(10) : 4267-4284 doi: 10.3934/dcdsb.2018137 +[Abstract](2263) +[HTML](523) +[PDF](488.66KB) PDF Downloads(234)
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](3852) +[HTML](788) +[PDF](2371.8KB) PDF Downloads(226)
On a free boundary problem for a nonlocal reaction-diffusion model
Jia-Feng Cao, Wan-Tong Li and Meng Zhao
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Stability analysis of a chemotherapy model with delays
Ismail Abdulrashid, Abdallah A. M. Alsammani and Xiaoying Han
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Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
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2018  Impact Factor: 1.008




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