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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.


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Existence of a global attractor for fractional differential hemivariational inequalities
Yirong Jiang, Nanjing Huang and Zhouchao Wei
2020, 25(4) : 1193-1212 doi: 10.3934/dcdsb.2019216 +[Abstract](517) +[HTML](269) +[PDF](415.14KB)
Instability of the standing waves for a Benney-Roskes/Zakharov-Rubenchik system and blow-up for the Zakharov equations
José R. Quintero and Juan C. Cordero
2020, 25(4) : 1213-1240 doi: 10.3934/dcdsb.2019217 +[Abstract](412) +[HTML](186) +[PDF](436.7KB)
Attractors for first order lattice systems with almost periodic nonlinear part
Ahmed Y. Abdallah
2020, 25(4) : 1241-1255 doi: 10.3934/dcdsb.2019218 +[Abstract](417) +[HTML](166) +[PDF](405.64KB)
A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model
Ting-Hao Hsu and Gail S. K. Wolkowicz
2020, 25(4) : 1257-1277 doi: 10.3934/dcdsb.2019219 +[Abstract](581) +[HTML](226) +[PDF](952.88KB)
On regularity of stochastic convolutions of functional linear differential equations with memory
Kai Liu
2020, 25(4) : 1279-1298 doi: 10.3934/dcdsb.2019220 +[Abstract](353) +[HTML](155) +[PDF](382.96KB)
Existence of pullback attractors for the non-autonomous suspension bridge equation with time delay
Suping Wang and Qiaozhen Ma
2020, 25(4) : 1299-1316 doi: 10.3934/dcdsb.2019221 +[Abstract](430) +[HTML](177) +[PDF](352.5KB)
A global well-posedness and asymptotic dynamics of the kinetic Winfree equation
Seung-Yeal Ha, Jinyeong Park and Xiongtao Zhang
2020, 25(4) : 1317-1344 doi: 10.3934/dcdsb.2019229 +[Abstract](172) +[HTML](71) +[PDF](423.36KB)
Global weak solution and smooth solution of the periodic initial value problem for the generalized Landau-Lifshitz-Bloch equation in high dimensions
Jing Li, Boling Guo, Lan Zeng and Yitong Pei
2020, 25(4) : 1345-1360 doi: 10.3934/dcdsb.2019230 +[Abstract](191) +[HTML](72) +[PDF](330.84KB)
Ergodicity of non-autonomous discrete systems with non-uniform expansion
Pablo G. Barrientos and Abbas Fakhari
2020, 25(4) : 1361-1382 doi: 10.3934/dcdsb.2019231 +[Abstract](208) +[HTML](90) +[PDF](583.68KB)
Periodic solutions of differential-algebraic equations
Yingjie Bi, Siyu Liu and Yong Li
2020, 25(4) : 1383-1395 doi: 10.3934/dcdsb.2019232 +[Abstract](205) +[HTML](67) +[PDF](2241.96KB)
Bautin bifurcation in a minimal model of immunoediting
Joaquín Delgado, Eymard Hernández–López and Lucía Ivonne Hernández–Martínez
2020, 25(4) : 1397-1414 doi: 10.3934/dcdsb.2019233 +[Abstract](160) +[HTML](68) +[PDF](1176.89KB)
Dynamics of charged elastic bodies under diffusion at large strains
Tomáš Roubíček and Giuseppe Tomassetti
2020, 25(4) : 1415-1437 doi: 10.3934/dcdsb.2019234 +[Abstract](147) +[HTML](76) +[PDF](474.81KB)
Periodicity and stabilization control of the delayed Filippov system with perturbation
Zuowei Cai, Jianhua Huang, Liu Yang and Lihong Huang
2020, 25(4) : 1439-1467 doi: 10.3934/dcdsb.2019235 +[Abstract](316) +[HTML](66) +[PDF](694.29KB)
Traveling waves for a nonlocal dispersal vaccination model with general incidence
Jinling Zhou, Yu Yang and Cheng-Hsiung Hsu
2020, 25(4) : 1469-1495 doi: 10.3934/dcdsb.2019236 +[Abstract](178) +[HTML](67) +[PDF](432.69KB)
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](177) +[HTML](70) +[PDF](4277.85KB)
Critical and super-critical abstract parabolic equations
Tomasz Dlotko, Tongtong Liang and Yejuan Wang
2020, 25(4) : 1517-1541 doi: 10.3934/dcdsb.2019238 +[Abstract](197) +[HTML](79) +[PDF](412.26KB)
Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations
Shan Li, Shi-Mi Yan and Zhong-Qing Wang
2020, 25(4) : 1543-1563 doi: 10.3934/dcdsb.2019239 +[Abstract](169) +[HTML](68) +[PDF](429.1KB)
Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations
Min Yang and Guanggan Chen
2020, 25(4) : 1565-1581 doi: 10.3934/dcdsb.2019240 +[Abstract](161) +[HTML](63) +[PDF](349.13KB)
G-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients
Mahmoud Abouagwa and Ji Li
2020, 25(4) : 1583-1606 doi: 10.3934/dcdsb.2019241 +[Abstract](212) +[HTML](100) +[PDF](401.21KB)
Investigating the effects of intervention strategies in a spatio-temporal anthrax model
Buddhi Pantha, Judy Day and Suzanne Lenhart
2020, 25(4) : 1607-1622 doi: 10.3934/dcdsb.2019242 +[Abstract](261) +[HTML](89) +[PDF](1484.08KB)
On the 1D modeling of fluid flowing through a Junction
Rinaldo M. Colombo and Mauro Garavello
2019doi: 10.3934/dcdsb.2019149 +[Abstract](504) +[HTML](303) +[PDF](537.93KB)
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
2019doi: 10.3934/dcdsb.2019200 +[Abstract](523) +[HTML](261) +[PDF](1246.27KB)
Takens–Bogdanov singularity for age structured models
Zhihua Liu and Rong Yuan
2019doi: 10.3934/dcdsb.2019201 +[Abstract](328) +[HTML](180) +[PDF](370.84KB)
A two-group age of infection epidemic model with periodic behavioral changes
Mamadou L. Diagne, Ousmane Seydi and Aissata A. B. Sy
2019doi: 10.3934/dcdsb.2019202 +[Abstract](376) +[HTML](162) +[PDF](552.81KB)
The operating diagram for a model of competition in a chemostat with an external lethal inhibitor
Bachir Bar and Tewfik Sari
2019doi: 10.3934/dcdsb.2019203 +[Abstract](482) +[HTML](203) +[PDF](1495.79KB)
A discrete model of competing species sharing a parasite
Rafael Bravo De La Parra and Luis Sanz
2019doi: 10.3934/dcdsb.2019204 +[Abstract](371) +[HTML](165) +[PDF](560.87KB)
Spreading speeds of rabies with territorial and diffusing rabid foxes
Khalaf M. Alanazi, Zdzislaw Jackiewicz and Horst R. Thieme
2019doi: 10.3934/dcdsb.2019222 +[Abstract](418) +[HTML](197) +[PDF](843.94KB)
Spatial spread of epidemic diseases in geographical settings: Seasonal influenza epidemics in Puerto Rico
Pierre Magal, Glenn F. Webb and Yixiang Wu
2019doi: 10.3934/dcdsb.2019223 +[Abstract](430) +[HTML](202) +[PDF](3937.7KB)
Density dependent replicator-mutator models in directed evolution
Matthieu Alfaro and Mario Veruete
2019doi: 10.3934/dcdsb.2019224 +[Abstract](313) +[HTML](158) +[PDF](709.37KB)
Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system
Jean-Baptiste Burie, Ramsès Djidjou-Demasse and Arnaud Ducrot
2019doi: 10.3934/dcdsb.2019225 +[Abstract](367) +[HTML](179) +[PDF](448.18KB)
Global dynamics of an age-structured model with relapse
Mohammed Nor Frioui, Tarik Mohammed Touaoula and Bedreddine Ainseba
2019doi: 10.3934/dcdsb.2019226 +[Abstract](496) +[HTML](213) +[PDF](686.84KB)
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions
Zhihua Liu and Pierre Magal
2019doi: 10.3934/dcdsb.2019227 +[Abstract](384) +[HTML](172) +[PDF](372.62KB)
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](652) +[HTML](188) +[PDF](337.84KB)
Persistence properties for the generalized Camassa-Holm equation
Yongsheng Mi, Boling Guo and Chunlai Mu
2019doi: 10.3934/dcdsb.2019243 +[Abstract](148) +[HTML](62) +[PDF](345.59KB)
Stability and bifurcation analysis of Filippov food chain system with food chain control strategy
Soliman A. A. Hamdallah and Sanyi Tang
2019doi: 10.3934/dcdsb.2019244 +[Abstract](197) +[HTML](109) +[PDF](968.83KB)
A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure
Siyu Liu, Haomin Huang and Mingxin Wang
2019doi: 10.3934/dcdsb.2019245 +[Abstract](146) +[HTML](71) +[PDF](439.65KB)
A nonlinear Stefan problem with variable exponent and different moving parameters
Huiling Li, Xiaoliu Wang and Xueyan Lu
2019doi: 10.3934/dcdsb.2019246 +[Abstract](131) +[HTML](56) +[PDF](564.91KB)
Influence of feedback controls on the global stability of a stochastic predator-prey model with Holling type Ⅱ response and infinite delays
Kexin Wang
2019doi: 10.3934/dcdsb.2019247 +[Abstract](149) +[HTML](65) +[PDF](791.94KB)
The effect of noise intensity on parabolic equations
Guangying Lv, Hongjun Gao, Jinlong Wei and Jiang-Lun Wu
2019doi: 10.3934/dcdsb.2019248 +[Abstract](174) +[HTML](73) +[PDF](399.96KB)
A gradient-type algorithm for constrained optimization with application to microstructure optimization
Cristian Barbarosie, Anca-Maria Toader and Sérgio Lopes
2019doi: 10.3934/dcdsb.2019249 +[Abstract](146) +[HTML](60) +[PDF](970.07KB)
Stability analysis of traveling wave solutions for lattice reaction-diffusion equations
Cheng-Hsiung Hsu and Jian-Jhong Lin
2019doi: 10.3934/dcdsb.2020001 +[Abstract](126) +[HTML](55) +[PDF](352.13KB)
The two-grid and multigrid discretizations of the $ C^0 $IPG method for biharmonic eigenvalue problem
Hao Li, Hai Bi and Yidu Yang
2019doi: 10.3934/dcdsb.2020002 +[Abstract](141) +[HTML](54) +[PDF](395.31KB)
Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system
Haijun Wang and Fumin Zhang
2019doi: 10.3934/dcdsb.2020003 +[Abstract](130) +[HTML](67) +[PDF](7311.06KB)
On the Abel differential equations of third kind
Regilene Oliveira and Cláudia Valls
2019doi: 10.3934/dcdsb.2020004 +[Abstract](119) +[HTML](57) +[PDF](473.8KB)
On the limit cycles of a class of discontinuous piecewise linear differential systems
Jaume Llibre and Lucyjane de A. S. Menezes
2019doi: 10.3934/dcdsb.2020005 +[Abstract](126) +[HTML](60) +[PDF](2270.79KB)
Traveling waves for a reaction-diffusion model with a cyclic structure
Tianran Zhang
2019doi: 10.3934/dcdsb.2020006 +[Abstract](133) +[HTML](57) +[PDF](300.98KB)
Transition between monostability and bistability of a genetic toggle switch in Escherichia coli
Jie Li and Weinian Zhang
2019doi: 10.3934/dcdsb.2020007 +[Abstract](113) +[HTML](51) +[PDF](809.83KB)
Methodology for the characterization of the electrical power demand curve, by means of fractal orbit diagrams on the complex plane of Mandelbrot set
Héctor A. Tabares-Ospina and Mauricio Osorio
2019doi: 10.3934/dcdsb.2020008 +[Abstract](128) +[HTML](52) +[PDF](724.25KB)
Dynamical analysis of chikungunya and dengue co-infection model
Salihu Sabiu Musa, Nafiu Hussaini, Shi Zhao and He Daihai
2019doi: 10.3934/dcdsb.2020009 +[Abstract](392) +[HTML](74) +[PDF](1123.1KB)
Asset price volatility and price extrema
Carey Caginalp and Gunduz Caginalp
2019doi: 10.3934/dcdsb.2020010 +[Abstract](109) +[HTML](51) +[PDF](401.85KB)
Traveling waves for nonlocal Lotka-Volterra competition systems
Bang-Sheng Han, Zhi-Cheng Wang and Zengji Du
2019doi: 10.3934/dcdsb.2020011 +[Abstract](153) +[HTML](71) +[PDF](1761.12KB)
On the threshold dynamics of the stochastic SIRS epidemic model using adequate stopping times
Adel Settati, Aadil Lahrouz, Mustapha El Jarroudi, Mohamed El Fatini and Kai Wang
2019doi: 10.3934/dcdsb.2020012 +[Abstract](144) +[HTML](56) +[PDF](2537.21KB)
Analysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environment
Siyao Zhu and Jinliang Wang
2019doi: 10.3934/dcdsb.2020013 +[Abstract](105) +[HTML](56) +[PDF](393.02KB)
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](157) +[HTML](80) +[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](143) +[HTML](65) +[PDF](549.97KB)
Stability of stochastic heroin model with two distributed delays
Miljana Jovanović and Vuk Vujović
2019doi: 10.3934/dcdsb.2020016 +[Abstract](166) +[HTML](68) +[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](172) +[HTML](64) +[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](109) +[HTML](59) +[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](113) +[HTML](55) +[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](148) +[HTML](56) +[PDF](447.25KB)
Null controllability for distributed systems with time-varying constraint and applications to parabolic-like equations
Larbi Berrahmoune
2020doi: 10.3934/dcdsb.2020062 +[Abstract](27) +[HTML](21) +[PDF](470.22KB)
Geometric method for global stability of discrete population models
Zhanyuan Hou
2020doi: 10.3934/dcdsb.2020063 +[Abstract](24) +[HTML](9) +[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](28) +[HTML](6) +[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](25) +[HTML](11) +[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](23) +[HTML](10) +[PDF](444.87KB)
Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations
Manil T. Mohan
2020doi: 10.3934/dcdsb.2020067 +[Abstract](25) +[HTML](9) +[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](22) +[HTML](11) +[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](23) +[HTML](10) +[PDF](996.99KB)
Dynamic analysis and optimal control of a three-age-classes HIV/AIDS epidemic model in China
Hongyong Zhao, Peng Wu and Shigui Ruan
2020doi: 10.3934/dcdsb.2020070 +[Abstract](28) +[HTML](12) +[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](25) +[HTML](10) +[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](23) +[HTML](10) +[PDF](372.01KB)
Singular renormalization group approach to SIS problems
Ning Sun, Shaoyun Shi and Wenlei Li
2020doi: 10.3934/dcdsb.2020073 +[Abstract](26) +[HTML](10) +[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](24) +[HTML](12) +[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](23) +[HTML](10) +[PDF](450.5KB)
Approximating exit times of continuous Markov processes
Thomas Kruse and Mikhail Urusov
2020doi: 10.3934/dcdsb.2020076 +[Abstract](26) +[HTML](13) +[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](26) +[HTML](12) +[PDF](147.51KB)
Estimating the division rate from indirect measurements of single cells
Marie Doumic, Adélaïde Olivier and Lydia Robert
2020doi: 10.3934/dcdsb.2020078 +[Abstract](24) +[HTML](14) +[PDF](3310.79KB)
Generalized solutions to models of inviscid fluids
Dominic Breit, Eduard Feireisl and Martina Hofmanová
2020doi: 10.3934/dcdsb.2020079 +[Abstract](25) +[HTML](40) +[PDF](368.8KB)
Exact controllability of the linear Zakharov-Kuznetsov equation
Mo Chen and Lionel Rosier
2020doi: 10.3934/dcdsb.2020080 +[Abstract](33) +[HTML](19) +[PDF](419.27KB)
A spatially heterogeneous predator-prey model
Julián López-Gómez and Eduardo Muñoz-Hernández
2020doi: 10.3934/dcdsb.2020081 +[Abstract](32) +[HTML](14) +[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](26) +[HTML](10) +[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](26) +[HTML](15) +[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](34) +[HTML](13) +[PDF](443.97KB)
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](3501) +[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](3242) +[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](2604) +[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](2936) +[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](3589) +[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](2803) +[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](3544) +[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](2519) +[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](2111) +[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](2583) +[PDF](181.0KB) Cited By(46)
Fractional Navier-Stokes equations
Jan W. Cholewa and Tomasz Dlotko
2018, 23(8) : 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](5436) +[HTML](1103) +[PDF](566.06KB) PDF Downloads(350)
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](1982) +[HTML](451) +[PDF](433.24KB) PDF Downloads(348)
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](7179) +[HTML](717) +[PDF](481.89KB) PDF Downloads(338)
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](2914) +[HTML](736) +[PDF](1079.83KB) PDF Downloads(282)
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](5243) +[HTML](802) +[PDF](2371.8KB) PDF Downloads(270)
Spreading speed and traveling waves for a non-local delayed reaction-diffusion system without quasi-monotonicity
Zhenguo Bai and Tingting Zhao
2018, 23(10) : 4063-4085 doi: 10.3934/dcdsb.2018126 +[Abstract](3731) +[HTML](624) +[PDF](519.85KB) PDF Downloads(263)
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](3438) +[HTML](531) +[PDF](488.66KB) PDF Downloads(257)
Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
Mingxin Wang
2019, 24(2) : 415-421 doi: 10.3934/dcdsb.2018179 +[Abstract](3451) +[HTML](403) +[PDF](328.44KB) PDF Downloads(241)
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](3896) +[HTML](575) +[PDF](474.87KB) PDF Downloads(235)
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
2020, 25(1) : 81-98 doi: 10.3934/dcdsb.2019173 +[Abstract](784) +[HTML](363) +[PDF](429.14KB) PDF Downloads(220)

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