Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications

Zhi-Xian Yu;  ; Rong Yuan

doi:10.3934/dcdsb.2010.13.709

Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2010.13.709 ◽

2010 ◽

Vol 13 (3) ◽

pp. 709-728 ◽

Cited By ~ 14

Author(s):

Zhi-Xian Yu ◽

◽

Rong Yuan

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Temporal Delay ◽

Wave Fronts ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems ◽

Spatio Temporal

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Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-97-04080-x ◽

1997 ◽

Vol 125 (9) ◽

pp. 2589-2598 ◽

Cited By ~ 49

Author(s):

Xingfu Zou ◽

Jianhong Wu

Keyword(s):

Traveling Wave ◽

Iteration Method ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Monotone Iteration ◽

Diffusion Systems

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Erratum to “Traveling Wave Fronts of Reaction-Diffusion Systems with Delays” [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-007-9090-1 ◽

2007 ◽

Vol 20 (2) ◽

pp. 531-533 ◽

Cited By ~ 21

Author(s):

Jianhong Wu ◽

Xingfu Zou

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Nonlinear stability of traveling wave fronts for delayed reaction diffusion systems

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.12.013 ◽

2012 ◽

Vol 13 (4) ◽

pp. 1854-1865 ◽

Cited By ~ 10

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1523 ◽

2014 ◽

Vol 33 (4) ◽

pp. 463-480 ◽

Cited By ~ 3

Author(s):

Guangying Lv ◽

Xiaohuan Wang

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Diffusion Systems

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Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-017-0244-1 ◽

2017 ◽

Vol 34 (1) ◽

pp. 305-320 ◽

Cited By ~ 4

Author(s):

Jingdong Wei ◽

Lixin Tian ◽

Jiangbo Zhou ◽

Zaili Zhen ◽

Jing Xu

Keyword(s):

Asymptotic Behavior ◽

Traveling Wave ◽

Population Model ◽

Temporal Delay ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Spatio Temporal

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Travelling wave fronts in reaction–diffusion systems with spatio-temporal delays

Journal of Differential Equations ◽

10.1016/j.jde.2005.08.010 ◽

2006 ◽

Vol 222 (1) ◽

pp. 185-232 ◽

Cited By ~ 165

Author(s):

Zhi-Cheng Wang ◽

Wan-Tong Li ◽

Shigui Ruan

Keyword(s):

Reaction Diffusion ◽

Travelling Wave ◽

Wave Fronts ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Spatio Temporal

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Existence and stability of traveling wave fronts for a reaction-diffusion system with spatio-temporal nonlocal effect

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201600170 ◽

2017 ◽

Vol 97 (12) ◽

pp. 1555-1578

Author(s):

Chufen Wu ◽

Mengqi Li ◽

Peixuan Weng

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Nonlocal Effect ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Existence And Stability ◽

Spatio Temporal

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Classification of Traveling Wave Solutions of Reaction-Diffusion Systems.

10.21236/ada167101 ◽

1985 ◽

Cited By ~ 5

Author(s):

Konstantin Mischaikow

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.05.057 ◽

2008 ◽

Vol 346 (2) ◽

pp. 415-424 ◽

Cited By ~ 41

Author(s):

Shuxia Pan

Keyword(s):

Traveling Wave ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Diffusion Systems ◽

Non Local ◽

Local Diffusion

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The existence of traveling wave fronts for a reaction-diffusion system modelling the acidic nitrate-ferroin reaction

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2014-01349-5 ◽

2014 ◽

Vol 72 (4) ◽

pp. 649-664 ◽

Cited By ~ 7

Author(s):

Sheng-Chen Fu

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

System Modelling ◽

Wave Fronts ◽

Traveling Wave Fronts

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