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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.

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

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Iván Area, Alberto Cabada, José Ángel Cid, Daniel Franco, Eduardo Liz and Rosana Rodríguez-López
2020, 25(2) : ⅰ-ⅳ doi: 10.3934/dcdsb.2019269 +[Abstract](235) +[HTML](74) +[PDF](88.82KB)
Multiplicity results for fourth order problems related to the theory of deformations beams
Alberto Cabada and Rochdi Jebari
2020, 25(2) : 489-505 doi: 10.3934/dcdsb.2019250 +[Abstract](243) +[HTML](43) +[PDF](368.6KB)
Existence and exponential stability for neutral stochastic integro–differential equations with impulses driven by a Rosenblatt process
Tomás Caraballo, Carlos Ogouyandjou, Fulbert Kuessi Allognissode and Mamadou Abdoul Diop
2020, 25(2) : 507-528 doi: 10.3934/dcdsb.2019251 +[Abstract](263) +[HTML](62) +[PDF](438.55KB)
A Favard type theorem for Hurwitz polynomials
Abdon E. Choque-Rivero and Iván Area
2020, 25(2) : 529-544 doi: 10.3934/dcdsb.2019252 +[Abstract](172) +[HTML](40) +[PDF](374.39KB)
Nonnegative oscillations for a class of differential equations without uniqueness: A variational approach
José Ángel Cid and Luís Sanchez
2020, 25(2) : 545-554 doi: 10.3934/dcdsb.2019253 +[Abstract](75) +[HTML](33) +[PDF](447.65KB)
Existence of homoclinic solutions for a nonlinear fourth order $ p $-Laplacian difference equation
Nikolay Dimitrov and Stepan Tersian
2020, 25(2) : 555-567 doi: 10.3934/dcdsb.2019254 +[Abstract](84) +[HTML](30) +[PDF](321.62KB)
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](88) +[HTML](103) +[PDF](518.41KB)
Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities
Fátima Drubi, Santiago Ibáñez and David Rivela
2020, 25(2) : 599-615 doi: 10.3934/dcdsb.2019256 +[Abstract](67) +[HTML](38) +[PDF](1127.65KB)
Existence and multiplicity results for second-order discontinuous problems via non-ordered lower and upper solutions
Rubén Figueroa, Rodrigo López Pouso and Jorge Rodríguez–López
2020, 25(2) : 617-633 doi: 10.3934/dcdsb.2019257 +[Abstract](74) +[HTML](35) +[PDF](387.16KB)
Stability for one-dimensional discrete dynamical systems revisited
Daniel Franco, Juan Perán and Juan Segura
2020, 25(2) : 635-650 doi: 10.3934/dcdsb.2019258 +[Abstract](97) +[HTML](43) +[PDF](369.4KB)
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem
Armengol Gasull and Víctor Mañosa
2020, 25(2) : 651-670 doi: 10.3934/dcdsb.2019259 +[Abstract](85) +[HTML](34) +[PDF](569.87KB)
Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials
Vagif S. Guliyev, Ramin V. Guliyev, Mehriban N. Omarova and Maria Alessandra Ragusa
2020, 25(2) : 671-690 doi: 10.3934/dcdsb.2019260 +[Abstract](69) +[HTML](36) +[PDF](422.47KB)
Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence
Gennaro Infante
2020, 25(2) : 691-699 doi: 10.3934/dcdsb.2019261 +[Abstract](67) +[HTML](27) +[PDF](276.83KB)
A note on the Lasota discrete model for blood cell production
Eduardo Liz and Cristina Lois-Prados
2020, 25(2) : 701-713 doi: 10.3934/dcdsb.2019262 +[Abstract](74) +[HTML](38) +[PDF](1623.1KB)
Boundary value problem: Weak solutions induced by fuzzy partitions
Linh Nguyen, Irina Perfilieva and Michal Holčapek
2020, 25(2) : 715-732 doi: 10.3934/dcdsb.2019263 +[Abstract](60) +[HTML](31) +[PDF](381.5KB)
On the approximation of fixed points for non-self mappings on metric spaces
Adrian Petruşel, Radu Precup and Marcel-Adrian Şerban
2020, 25(2) : 733-747 doi: 10.3934/dcdsb.2019264 +[Abstract](56) +[HTML](35) +[PDF](306.11KB)
Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
David Rojas and Pedro J. Torres
2020, 25(2) : 749-760 doi: 10.3934/dcdsb.2019265 +[Abstract](71) +[HTML](35) +[PDF](625.25KB)
On an optimal control problem of time-fractional advection-diffusion equation
Qing Tang
2020, 25(2) : 761-779 doi: 10.3934/dcdsb.2019266 +[Abstract](103) +[HTML](39) +[PDF](409.37KB)
Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations
Chao Wang and Ravi P Agarwal
2020, 25(2) : 781-798 doi: 10.3934/dcdsb.2019267 +[Abstract](99) +[HTML](35) +[PDF](367.02KB)
Attractors of Hopfield-type lattice models with increasing neuronal input
Xiaoli Wang, Peter E. Kloeden and Xiaoying Han
2020, 25(2) : 799-813 doi: 10.3934/dcdsb.2019268 +[Abstract](77) +[HTML](35) +[PDF](366.11KB)
On the 1D modeling of fluid flowing through a Junction
Rinaldo M. Colombo and Mauro Garavello
2019doi: 10.3934/dcdsb.2019149 +[Abstract](391) +[HTML](261) +[PDF](537.93KB)
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson and Volodymyr Rybalko
2019doi: 10.3934/dcdsb.2019191 +[Abstract](298) +[HTML](128) +[PDF](497.18KB)
Input-to-state stability of continuous-time systems via finite-time Lyapunov functions
Huijuan Li and Junxia Wang
2019doi: 10.3934/dcdsb.2019192 +[Abstract](284) +[HTML](109) +[PDF](525.25KB)
On steady state of some Lotka-Volterra competition-diffusion-advection model
Qi Wang
2019doi: 10.3934/dcdsb.2019193 +[Abstract](264) +[HTML](145) +[PDF](400.69KB)
Global dynamics of a reaction-diffusion system with intraguild predation and internal storage
Hua Nie, Sze-Bi Hsu and Feng-Bin Wang
2019doi: 10.3934/dcdsb.2019194 +[Abstract](299) +[HTML](136) +[PDF](1042.02KB)
The structure of $ \omega $-limit sets of asymptotically non-autonomous discrete dynamical systems
Emma D'Aniello and Saber Elaydi
2019doi: 10.3934/dcdsb.2019195 +[Abstract](246) +[HTML](169) +[PDF](800.33KB)
Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment
Lianwen Wang, Zhijun Liu, Yong Li and Dashun Xu
2019doi: 10.3934/dcdsb.2019196 +[Abstract](297) +[HTML](236) +[PDF](368.83KB)
The global attractor for a class of extensible beams with nonlocal weak damping
Chunxiang Zhao, Chunyan Zhao and Chengkui Zhong
2019doi: 10.3934/dcdsb.2019197 +[Abstract](247) +[HTML](129) +[PDF](453.84KB)
Global existence for a two-phase flow model with cross-diffusion
Esther S. Daus, Josipa-Pina Milišić and Nicola Zamponi
2019doi: 10.3934/dcdsb.2019198 +[Abstract](271) +[HTML](129) +[PDF](527.48KB)
Spreading speed of a degenerate and cooperative epidemic model with free boundaries
Meng Zhao, Wan-Tong Li and Wenjie Ni
2019doi: 10.3934/dcdsb.2019199 +[Abstract](267) +[HTML](154) +[PDF](398.54KB)
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](342) +[HTML](201) +[PDF](1246.27KB)
Takens–Bogdanov singularity for age structured models
Zhihua Liu and Rong Yuan
2019doi: 10.3934/dcdsb.2019201 +[Abstract](224) +[HTML](138) +[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](269) +[HTML](124) +[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](353) +[HTML](144) +[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](269) +[HTML](125) +[PDF](560.87KB)
Chaotic cuttlesh: king of camouage with self-excited and hidden flows, its fractional-order form and communication designs with fractional form
Karthikeyan Rajagopal, Serdar Cicek, Akif Akgul, Sajad Jafari and Anitha Karthikeyan
2019doi: 10.3934/dcdsb.2019205 +[Abstract](341) +[HTML](168) +[PDF](5631.2KB)
A dynamic model of the limit order book
Alberto Bressan, Marco Mazzola and Hongxu Wei
2019doi: 10.3934/dcdsb.2019206 +[Abstract](264) +[HTML](138) +[PDF](360.34KB)
A free boundary problem for defaultable corporate bond with credit rating migration risk and its asymptotic behavior
Yuan Wu, Jin Liang and Bei Hu
2019doi: 10.3934/dcdsb.2019207 +[Abstract](303) +[HTML](139) +[PDF](373.55KB)
Emergent collective behaviors of stochastic kuramoto oscillators
Seung-Yeal Ha, Dongnam Ko, Chanho Min and Xiongtao Zhang
2019doi: 10.3934/dcdsb.2019208 +[Abstract](251) +[HTML](138) +[PDF](389.15KB)
Singularity formation to the two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction in a bounded domain
Xin Zhong
2019doi: 10.3934/dcdsb.2019209 +[Abstract](231) +[HTML](133) +[PDF](368.75KB)
Homoclinic orbits and chaos in the generalized Lorenz system
Ting Yang
2019doi: 10.3934/dcdsb.2019210 +[Abstract](321) +[HTML](159) +[PDF](321.93KB)
The fast signal diffusion limit in nonlinear chemotaxis systems
Marcel Freitag
2019doi: 10.3934/dcdsb.2019211 +[Abstract](255) +[HTML](162) +[PDF](410.12KB)
Global asymptotic stability of nonconvex sweeping processes
Lakmi Niwanthi Wadippuli, Ivan Gudoshnikov and Oleg Makarenkov
2019doi: 10.3934/dcdsb.2019212 +[Abstract](296) +[HTML](148) +[PDF](664.24KB)
Convergence of p-th mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion
Bin Pei, Yong Xu and Yuzhen Bai
2019doi: 10.3934/dcdsb.2019213 +[Abstract](310) +[HTML](184) +[PDF](352.17KB)
Global stability of the predator-prey model with a sigmoid functional response
Yinshu Wu and Wenzhang Huang
2019doi: 10.3934/dcdsb.2019214 +[Abstract](343) +[HTML](164) +[PDF](258.16KB)
Existence and blow up of solutions to the $ 2D $ Burgers equation with supercritical dissipation
Binbin Shi and Weike Wang
2019doi: 10.3934/dcdsb.2019215 +[Abstract](292) +[HTML](143) +[PDF](409.8KB)
Existence of a global attractor for fractional differential hemivariational inequalities
Yirong Jiang, Nanjing Huang and Zhouchao Wei
2019doi: 10.3934/dcdsb.2019216 +[Abstract](259) +[HTML](214) +[PDF](397.98KB)
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
2019doi: 10.3934/dcdsb.2019217 +[Abstract](236) +[HTML](141) +[PDF](412.53KB)
Attractors for first order lattice systems with almost periodic nonlinear part
Ahmed Y. Abdallah
2019doi: 10.3934/dcdsb.2019218 +[Abstract](227) +[HTML](121) +[PDF](388.47KB)
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
2019doi: 10.3934/dcdsb.2019219 +[Abstract](303) +[HTML](159) +[PDF](929.29KB)
On regularity of stochastic convolutions of functional linear differential equations with memory
Kai Liu
2019doi: 10.3934/dcdsb.2019220 +[Abstract](248) +[HTML](121) +[PDF](365.77KB)
Existence of pullback attractors for the non-autonomous suspension bridge equation with time delay
Suping Wang and Qiaozhen Ma
2019doi: 10.3934/dcdsb.2019221 +[Abstract](301) +[HTML](134) +[PDF](335.16KB)
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](317) +[HTML](160) +[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](314) +[HTML](156) +[PDF](3937.7KB)
Density dependent replicator-mutator models in directed evolution
Matthieu Alfaro and Mario Veruete
2019doi: 10.3934/dcdsb.2019224 +[Abstract](216) +[HTML](128) +[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](282) +[HTML](142) +[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](370) +[HTML](171) +[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](290) +[HTML](135) +[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](305) +[HTML](148) +[PDF](337.84KB)
A global well-posedness and asymptotic dynamics of the kinetic Winfree equation
Seung-Yeal Ha, Jinyeong Park and Xiongtao Zhang
2019doi: 10.3934/dcdsb.2019229 +[Abstract](52) +[HTML](26) +[PDF](502.09KB)
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
2019doi: 10.3934/dcdsb.2019230 +[Abstract](49) +[HTML](29) +[PDF](359.75KB)
Ergodicity of non-autonomous discrete systems with non-uniform expansion
Pablo G. Barrientos and Abbas Fakhari
2019doi: 10.3934/dcdsb.2019231 +[Abstract](61) +[HTML](31) +[PDF](632.58KB)
Periodic solutions of differential-algebraic equations
Yingjie Bi, Siyu Liu and Yong Li
2019doi: 10.3934/dcdsb.2019232 +[Abstract](70) +[HTML](24) +[PDF](2284.45KB)
Bautin bifurcation in a minimal model of immunoediting
Joaquín Delgado, Eymard Hernández–López and Lucía Ivonne Hernández–Martínez
2019doi: 10.3934/dcdsb.2019233 +[Abstract](44) +[HTML](25) +[PDF](1240.35KB)
Dynamics of charged elastic bodies under diffusion at large strains
Tomáš Roubíček and Giuseppe Tomassetti
2019doi: 10.3934/dcdsb.2019234 +[Abstract](45) +[HTML](27) +[PDF](545.04KB)
Periodicity and stabilization control of the delayed Filippov system with perturbation
Zuowei Cai, Jianhua Huang, Liu Yang and Lihong Huang
2019doi: 10.3934/dcdsb.2019235 +[Abstract](111) +[HTML](27) +[PDF](781.24KB)
Traveling waves for a nonlocal dispersal vaccination model with general incidence
Jinling Zhou, Yu Yang and Cheng-Hsiung Hsu
2019doi: 10.3934/dcdsb.2019236 +[Abstract](57) +[HTML](24) +[PDF](516.46KB)
An SICR rumor spreading model in heterogeneous networks
Jinxian Li, Ning Ren and Zhen Jin
2019doi: 10.3934/dcdsb.2019237 +[Abstract](54) +[HTML](26) +[PDF](4333.21KB)
Critical and super-critical abstract parabolic equations
Tomasz Dlotko, Tongtong Liang and Yejuan Wang
2019doi: 10.3934/dcdsb.2019238 +[Abstract](54) +[HTML](29) +[PDF](481.19KB)
Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations
Shan Li, Shi-Mi Yan and Zhong-Qing Wang
2019doi: 10.3934/dcdsb.2019239 +[Abstract](61) +[HTML](27) +[PDF](490.65KB)
Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations
Min Yang and Guanggan Chen
2019doi: 10.3934/dcdsb.2019240 +[Abstract](46) +[HTML](25) +[PDF](407.71KB)
G-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients
Mahmoud Abouagwa and Ji Li
2019doi: 10.3934/dcdsb.2019241 +[Abstract](64) +[HTML](37) +[PDF](461.91KB)
Investigating the effects of intervention strategies in a spatio-temporal anthrax model
Buddhi Pantha, Judy Day and Suzanne Lenhart
2019doi: 10.3934/dcdsb.2019242 +[Abstract](65) +[HTML](37) +[PDF](1529.49KB)
Persistence properties for the generalized Camassa-Holm equation
Yongsheng Mi, Boling Guo and Chunlai Mu
2019doi: 10.3934/dcdsb.2019243 +[Abstract](49) +[HTML](24) +[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](80) +[HTML](37) +[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](52) +[HTML](32) +[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](41) +[HTML](20) +[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](48) +[HTML](25) +[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](66) +[HTML](29) +[PDF](400.01KB)
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](51) +[HTML](22) +[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](13) +[HTML](13) +[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](8) +[HTML](13) +[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](8) +[HTML](12) +[PDF](7311.06KB)
On the Abel differential equations of third kind
Regilene Oliveira and Cláudia Valls
2019doi: 10.3934/dcdsb.2020004 +[Abstract](6) +[HTML](12) +[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](7) +[HTML](12) +[PDF](2270.79KB)
Traveling waves for a reaction-diffusion model with a cyclic structure
Tianran Zhang
2019doi: 10.3934/dcdsb.2020006 +[Abstract](9) +[HTML](8) +[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](7) +[HTML](8) +[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](11) +[HTML](12) +[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](12) +[HTML](13) +[PDF](1123.1KB)
Asset price volatility and price extrema
Carey Caginalp and Gunduz Caginalp
2019doi: 10.3934/dcdsb.2020010 +[Abstract](13) +[HTML](10) +[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](11) +[HTML](18) +[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](9) +[HTML](8) +[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](9) +[HTML](14) +[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](12) +[HTML](11) +[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](11) +[HTML](12) +[PDF](549.97KB)
Stability of stochastic heroin model with two distributed delays
Miljana Jovanović and Vuk Vujović
2019doi: 10.3934/dcdsb.2020016 +[Abstract](11) +[HTML](10) +[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](14) +[HTML](13) +[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](11) +[HTML](10) +[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](9) +[HTML](8) +[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](11) +[HTML](11) +[PDF](447.25KB)
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](3385) +[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](3096) +[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](2495) +[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](2788) +[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](3446) +[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](2675) +[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](3369) +[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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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](1977) +[PDF](479.5KB) Cited By(46)
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
Hai-Xia Li, Jian-Hua Wu, Yan-Ling Li and Chun-An Liu
2018, 23(8) : 2951-2966 doi: 10.3934/dcdsb.2017128 +[Abstract](6862) +[HTML](713) +[PDF](481.89KB) PDF Downloads(337)
Fractional Navier-Stokes equations
Jan W. Cholewa and Tomasz Dlotko
2018, 23(8) : 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](5194) +[HTML](1097) +[PDF](566.06KB) PDF Downloads(331)
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](1792) +[HTML](447) +[PDF](433.24KB) PDF Downloads(328)
Global existence and stability in a two-species chemotaxis system
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2019, 24(4) : 1569-1587 doi: 10.3934/dcdsb.2018220 +[Abstract](2722) +[HTML](732) +[PDF](1079.83KB) PDF Downloads(275)
Spreading speed and traveling waves for a non-local delayed reaction-diffusion system without quasi-monotonicity
Zhenguo Bai and Tingting Zhao
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Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping
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A stochastic SIRI epidemic model with Lévy noise
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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](3706) +[HTML](571) +[PDF](474.87KB) PDF Downloads(225)
Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
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Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment
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