Traveling fronts for a delayed reaction–diffusion system with a quiescent stage

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.01.012 ◽

2011 ◽

Vol 16 (9) ◽

pp. 3610-3621 ◽

Author(s):

Shi-Liang Wu ◽

Hai-Qin Zhao

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction ◽

Traveling Fronts ◽

Quiescent Stage

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Turing instability and traveling fronts for a nonlinear reaction–diffusion system with cross-diffusion

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2011.11.004 ◽

2012 ◽

Vol 82 (6) ◽

pp. 1112-1132 ◽

Author(s):

G. Gambino ◽

M.C. Lombardo ◽

M. Sammartino

Keyword(s):

Reaction Diffusion ◽

Turing Instability ◽

Reaction Diffusion System ◽

Diffusion System ◽

Cross Diffusion ◽

Traveling Fronts ◽

Nonlinear Reaction

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Speed of traveling fronts in a sigmoidal reaction-diffusion system

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.3562546 ◽

2011 ◽

Vol 21 (1) ◽

pp. 013115 ◽

Author(s):

E. P. Zemskov ◽

K. Kassner ◽

M. A. Tsyganov ◽

I. R. Epstein

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Traveling Fronts

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Spatial dynamics of a nonlocal and time-delayed reaction–diffusion system

Journal of Differential Equations ◽

10.1016/j.jde.2008.09.001 ◽

2008 ◽

Vol 245 (10) ◽

pp. 2749-2770 ◽

Author(s):

Jian Fang ◽

Junjie Wei ◽

Xiao-Qiang Zhao

Keyword(s):

Spatial Dynamics ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction

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Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018183 ◽

2019 ◽

Vol 24 (2) ◽

pp. 487-510 ◽

Author(s):

Qi An ◽

◽

Weihua Jiang

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction

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Competitive exclusion and coexistence of a delayed reaction–diffusion system modeling two predators competing for one prey

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.02.025 ◽

2016 ◽

Vol 71 (9) ◽

pp. 1799-1817 ◽

Author(s):

Zhan-Ping Ma ◽

Jia-Long Yue

Keyword(s):

Competitive Exclusion ◽

System Modeling ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction

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Hopf bifurcation analysis on a delayed reaction-diffusion system modelling the spatial spread of bacterial and viral diseases

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.05.002 ◽

2019 ◽

Vol 125 ◽

pp. 152-162 ◽

Author(s):

Haijun Hu ◽

Yanxiang Tan ◽

Jianhua Huang

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Viral Diseases ◽

System Modelling ◽

Delayed Reaction ◽

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Global stability of traveling wave fronts for a reaction–diffusion system with a quiescent stage on a one-dimensional spatial lattice

Applicable Analysis ◽

10.1080/00036811.2017.1395864 ◽

2017 ◽

Vol 97 (16) ◽

pp. 2920-2940

Author(s):

Cui-Ping Cheng ◽

Zhaosheng Feng ◽

You-Hui Su

Keyword(s):

Global Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Wave Fronts ◽

One Dimensional ◽

Traveling Wave Fronts ◽

Spatial Lattice ◽

Quiescent Stage

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EXISTENCE AND QUALITATIVE FEATURES OF ENTIRE SOLUTIONS FOR DELAYED REACTION DIFFUSION SYSTEM: THE MONOSTABLE CASE

Journal of Applied Analysis & Computation ◽

10.11948/20180317 ◽

2019 ◽

Vol 9 (5) ◽

pp. 1769-1800

Author(s):

Yanling Meng ◽

◽

Weiguo Zhang ◽

Shengqiang Zhang ◽

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Entire Solutions ◽

Delayed Reaction

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Spreading speed and traveling waves for a non-local delayed reaction-diffusion system without quasi-monotonicity

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018126 ◽

2018 ◽

Vol 23 (10) ◽

pp. 4063-4085

Author(s):

Zhenguo Bai ◽

◽

Tingting Zhao ◽

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Spreading Speed ◽

Delayed Reaction ◽

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Spatial dynamics for a non-quasi-monotone reaction-diffusion system with delay and quiescent stage

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.11.036 ◽

2016 ◽

Vol 40 (7-8) ◽

pp. 4291-4301 ◽

Author(s):

Hai-Qin Zhao ◽

San-Yang Liu

Keyword(s):

Spatial Dynamics ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

System With Delay ◽

Quiescent Stage

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