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

Zhenguo Bai;  ; Tingting Zhao;

doi:10.3934/dcdsb.2018126

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 ◽

Non Local

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Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion

SIAM Journal on Applied Mathematics ◽

10.1137/16m1089915 ◽

2017 ◽

Vol 77 (2) ◽

pp. 614-637 ◽

Cited By ~ 2

Author(s):

Ekeoma Rowland Ijioma ◽

Hirofumi Izuhara ◽

Masayasu Mimura

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Smoldering Combustion

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Non-local reaction-diffusion system involved by reaction radius I

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxr068 ◽

2012 ◽

Vol 78 (3) ◽

pp. 614-632 ◽

Cited By ~ 2

Author(s):

N. I. Kavallaris ◽

T. Suzuki

Keyword(s):

Local Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Non Local

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Bifurcation and stability of periodic traveling waves for a reaction-diffusion system

Journal of Differential Equations ◽

10.1016/0022-0396(83)90075-x ◽

1983 ◽

Vol 50 (2) ◽

pp. 218-233 ◽

Cited By ~ 9

Author(s):

David L Barrow ◽

Peter W Bates

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Periodic Traveling Waves ◽

Bifurcation And Stability

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Finite traveling waves for a reaction-diffusion system with N(≥3) Components

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-997-0014-y ◽

1997 ◽

Vol 12 (2) ◽

pp. 127-138 ◽

Cited By ~ 1

Author(s):

Wang Shu ◽

Wen Shihliang ◽

Ye Qixiao

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Finite Traveling Waves

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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 ◽

Cited By ~ 6

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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Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124507 ◽

2021 ◽

Vol 493 (1) ◽

pp. 124507

Author(s):

Chengcheng Cheng ◽

Zuohuan Zheng

Keyword(s):

West Nile Virus ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Spreading Speed ◽

West Nile

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Traveling waves for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effect

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103423 ◽

2022 ◽

Vol 64 ◽

pp. 103423

Author(s):

Bang-Sheng Han ◽

Meng-Xue Chang ◽

Wei-Jian Bo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Nonlocal Effect ◽

Belousov Zhabotinsky Reaction

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Global existence and finite time blow-up for a degenerate reaction-diffusion system with non-local sources

2011 International Conference on Multimedia Technology ◽

10.1109/icmt.2011.6002352 ◽

2011 ◽

Author(s):

Youdong Zeng ◽

Zhiqiang Lin

Keyword(s):

Global Existence ◽

Finite Time ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Local Sources ◽

Non Local

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Stability of periodic traveling waves in the Aliev–Panfilov reaction–diffusion system

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.09.002 ◽

2016 ◽

Vol 33 ◽

pp. 30-42 ◽

Cited By ~ 7

Author(s):

M. Osman Gani ◽

Toshiyuki Ogawa

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Periodic Traveling Waves

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Pulsating traveling waves in the singular limit of a reaction–diffusion system in solid combustion

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2008.09.002 ◽

2009 ◽

Vol 26 (4) ◽

pp. 1207-1222 ◽

Cited By ~ 2

Author(s):

R. Monneau ◽

G.S. Weiss

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Singular Limit ◽

Reaction Diffusion System ◽

Diffusion System

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