Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations

Guangying Lv; Mingxin Wang

doi:10.1016/j.jmaa.2011.07.033

Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.07.033 ◽

2012 ◽

Vol 385 (2) ◽

pp. 1094-1106 ◽

Cited By ~ 18

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Fronts ◽

Delayed Reaction ◽

Traveling Wave Fronts

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Nonlinear stability of travelling wave fronts for delayed reaction diffusion equations

Nonlinearity ◽

10.1088/0951-7715/23/4/005 ◽

2010 ◽

Vol 23 (4) ◽

pp. 845-873 ◽

Cited By ~ 25

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Nonlinear Stability ◽

Reaction Diffusion ◽

Travelling Wave ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Fronts ◽

Delayed Reaction

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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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Asymptotic stability of traveling wave fronts in nonlocal reaction–diffusion equations with delay

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.06.061 ◽

2009 ◽

Vol 360 (2) ◽

pp. 439-458 ◽

Cited By ~ 16

Author(s):

Shi-Liang Wu ◽

Wan-Tong Li ◽

San-Yang Liu

Keyword(s):

Asymptotic Stability ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Nonlocal Reaction ◽

Equations With Delay

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Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00363-1 ◽

2002 ◽

Vol 146 (2) ◽

pp. 309-321 ◽

Cited By ~ 52

Author(s):

Xingfu Zou

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Fronts ◽

Traveling Wave Fronts

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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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Monotone Traveling Wave Solution for a Delayed Reaction-Diffusion Equations

2010 International Workshop on Chaos-Fractal Theories and Applications ◽

10.1109/iwcfta.2010.13 ◽

2010 ◽

Cited By ~ 1

Author(s):

Zhihao Ge

Keyword(s):

Traveling Wave ◽

Wave Solution ◽

Reaction Diffusion ◽

Traveling Wave Solution ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delayed Reaction

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Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.05.003 ◽

2011 ◽

Vol 28 (4) ◽

pp. 471-483 ◽

Cited By ~ 20

Author(s):

Mathew A. Johnson ◽

Kevin Zumbrun

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Spatially Periodic ◽

Periodic Traveling Wave

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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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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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Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.012 ◽

2019 ◽

Vol 90 ◽

pp. 49-53 ◽

Cited By ~ 9

Author(s):

Andrei D. Polyanin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Nonlinear Reaction ◽

Equations With Delay

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