Traveling waves for a reaction-diffusion model with a cyclic structure

Tianran Zhang;

doi:10.3934/dcdsb.2020006

Traveling waves for a reaction-diffusion model with a cyclic structure

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020006 ◽

2020 ◽

Vol 25 (5) ◽

pp. 1859-1870

Author(s):

Tianran Zhang ◽

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Cyclic Structure ◽

Reaction Diffusion Model

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Traveling waves for a three-component reaction–diffusion model of farmers and hunter-gatherers in the Neolithic transition

Journal of Mathematical Biology ◽

10.1007/s00285-021-01585-3 ◽

2021 ◽

Vol 82 (4) ◽

Author(s):

Sheng-Chen Fu ◽

Masayasu Mimura ◽

Je-Chiang Tsai

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Hunter Gatherers ◽

Neolithic Transition ◽

Reaction Diffusion Model ◽

Three Component Reaction

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The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves

Studies in Applied Mathematics ◽

10.1111/sapm.12337 ◽

2020 ◽

Author(s):

Alex D. O. Tisbury ◽

David J. Needham ◽

Alexandra Tzella

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Rate ◽

Reaction Diffusion ◽

Reaction Diffusion Model ◽

Permanent Form

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Existence and uniqueness of traveling waves for a reaction–diffusion model with general response functions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.01.017 ◽

2017 ◽

Vol 450 (1) ◽

pp. 406-426 ◽

Cited By ~ 2

Author(s):

Zhiguo Wang ◽

Hua Nie ◽

Jianhua Wu

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Existence And Uniqueness ◽

Reaction Diffusion ◽

Response Functions ◽

Reaction Diffusion Model ◽

General Response

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Traveling waves in a piecewise-linear reaction-diffusion model of excitable medium

BIOPHYSICS ◽

10.1134/s0006350909050145 ◽

2009 ◽

Vol 54 (5) ◽

pp. 631-636 ◽

Cited By ~ 2

Author(s):

E. P. Zemskov ◽

A. Yu. Loskutov

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Piecewise Linear ◽

Reaction Diffusion ◽

Excitable Medium ◽

Reaction Diffusion Model ◽

Linear Reaction

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Spreading speed and traveling waves for a nonmonotone reaction–diffusion model with distributed delay and nonlocal effect

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.12.011 ◽

2011 ◽

Vol 35 (6) ◽

pp. 2916-2929 ◽

Cited By ~ 3

Author(s):

Lin-Hong Yao ◽

Zhi-Xian Yu ◽

Rong Yuan

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Distributed Delay ◽

Reaction Diffusion ◽

Spreading Speed ◽

Nonlocal Effect ◽

Reaction Diffusion Model

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Canard Traveling Waves in a Reaction–Diffusion Model

2020 International Conference on Information Technology and Nanotechnology (ITNT) ◽

10.1109/itnt49337.2020.9253177 ◽

2020 ◽

Author(s):

Elena Shchepakina

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Model

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Traveling Waves for a Biological Reaction-Diffusion Model

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-004-6115-x ◽

2004 ◽

Vol 16 (3) ◽

pp. 745-765 ◽

Cited By ~ 23

Author(s):

Wenzhang Huang

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Model ◽

Biological Reaction

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A Fisher reaction-diffusion model with solution in traveling waves

Applied Mathematical Sciences ◽

10.12988/ams.2018.710301 ◽

2018 ◽

Vol 12 (23) ◽

pp. 1099-1107

Author(s):

Gonzaga Ospina Patino ◽

Anibal Munoz L. ◽

Dalia Marcela Munoz P.

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Model

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Monotonicity and uniqueness of traveling waves for a reaction–diffusion model with a quiescent stage

Nonlinear Analysis ◽

10.1016/j.na.2009.10.016 ◽

2010 ◽

Vol 72 (5) ◽

pp. 2178-2189 ◽

Cited By ~ 21

Author(s):

Ping-An Zhang ◽

Wan-Tong Li

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Model ◽

Quiescent Stage

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Periodic traveling waves in a reaction–diffusion model with chemotaxis and nonlocal delay effect

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.07.050 ◽

2018 ◽

Vol 467 (2) ◽

pp. 1080-1099 ◽

Cited By ~ 3

Author(s):

Dong Li ◽

Shangjiang Guo

Keyword(s):

Diffusion Model ◽

Traveling Waves ◽

Reaction Diffusion ◽

Delay Effect ◽

Periodic Traveling Waves ◽

Nonlocal Delay ◽

Reaction Diffusion Model

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