The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System

Gene A. Klaasen; William C. Troy

doi:10.1137/0141011

The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System

SIAM Journal on Applied Mathematics ◽

10.1137/0141011 ◽

1981 ◽

Vol 41 (1) ◽

pp. 145-167 ◽

Cited By ~ 15

Author(s):

Gene A. Klaasen ◽

William C. Troy

Keyword(s):

Wave Front ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Traveling Wave Front ◽

Front Solutions ◽

The Stability

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THE STABILITY OF TRAVELLING-WAVE-FRONT SOLUTIONS IN AN INITIAL-BOUNDARY REACTION-DIFFUSION SYSTEM

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/45.2.245 ◽

1992 ◽

Vol 45 (2) ◽

pp. 245-261

Author(s):

E. TUMA ◽

C. M. BLAZQUEZ

Keyword(s):

Wave Front ◽

Reaction Diffusion ◽

Initial Boundary ◽

Travelling Wave ◽

Reaction Diffusion System ◽

Diffusion System ◽

Front Solutions ◽

The Stability ◽

Boundary Reaction ◽

Travelling Wave Front

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The Wave Front Solutions of a Reaction-Diffusion System with Nonlinear Diffusing Term

Communications in Theoretical Physics ◽

10.1088/0253-6102/9/2/235 ◽

1988 ◽

Vol 9 (2) ◽

pp. 235-244

Author(s):

Qi An-shen

Keyword(s):

Wave Front ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Front Solutions

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A new proof of existence of the wave front solutions for a kind of reaction-diffusion system

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/39 ◽

1996 ◽

pp. 469-481

Keyword(s):

Wave Front ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Front Solutions

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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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The Stability and Slow Dynamics of Two-Spike Patterns for a Class of Reaction-Diffusion System

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/20138513 ◽

2013 ◽

Vol 8 (5) ◽

pp. 206-232 ◽

Cited By ~ 6

Author(s):

Y. Nec ◽

M.J. Ward

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Slow Dynamics ◽

The Stability ◽

Spike Patterns

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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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Traveling wave solutions for a competitive reaction–diffusion system and their asymptotics

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2007.07.007 ◽

2008 ◽

Vol 9 (5) ◽

pp. 2196-2213 ◽

Cited By ~ 30

Author(s):

Xiaojie Hou ◽

Anthony W. Leung

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Competitive Reaction ◽

Wave Solutions

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Convective wave front locking for a reaction–diffusion system in a conical flow reactor

Physics Letters A ◽

10.1016/s0375-9601(02)00065-8 ◽

2002 ◽

Vol 294 (3-4) ◽

pp. 210-216

Author(s):

P.V. Kuptsov ◽

S.P. Kuznetsov ◽

C. Knudsen

Keyword(s):

Wave Front ◽

Flow Reactor ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Conical Flow

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Erratum to: Influence of diffusion on the stability of equilibria in a reaction–diffusion system modeling cholera dynamic

Journal of Mathematical Biology ◽

10.1007/s00285-015-0915-y ◽

2015 ◽

Vol 71 (5) ◽

pp. 1267-1268

Author(s):

Florinda Capone ◽

Valentina De Cataldis ◽

Roberta De Luca

Keyword(s):

System Modeling ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Stability Of Equilibria ◽

The Stability

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Traveling wave front and stability as planar wave of reaction diffusion equations with nonlocal delays

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-012-0285-x ◽

2012 ◽

Vol 64 (4) ◽

pp. 1005-1023

Author(s):

Guangying Lv ◽

Mingxin Wang

Keyword(s):

Wave Front ◽

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Traveling Wave Front ◽

Planar Wave

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