An elementary approach to traveling front solutions to a system of N competition-diffusion equations

DOI10.1016/0362-546X(91)90152-QzbMath0737.35029MaRDI QIDQ3978496

Shair Ahmad, Alan C. Lazer

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existencetraveling front solutionscompetition-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Second-order parabolic systems (35K40)

Related Items (22)

Entire solutions for the classical competitive Lotka-Volterra system with diffusion in the weak competition case ⋮ On competition models under Allee effect: asymptotic behavior and traveling waves ⋮ Minimal wave speed of competitive diffusive systems with time delays ⋮ Wave propagation in \(N\)-species Lotka-Volterra competition systems with diffusion ⋮ Traveling wave solutions in a delayed diffusive competition system ⋮ A note on a nonautonomous O.D.E. related to the Fisher equation ⋮ Traveling waves for a system of equations ⋮ Nonlinear estimates for traveling wave solutions of reaction diffusion equations ⋮ Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays ⋮ Traveling waves and competitive exclusion in models of resource competition and mating interference ⋮ Existence of wave front solutions and estimates of wave speed for a competition-diffusion system ⋮ Erratum to: ``Travelling waves for a system of equations ⋮ Traveling wave solutions for the diffusive Lotka-Volterra equations with boundary problems ⋮ Traveling wave solutions in a delayed competitive model ⋮ Exact traveling wave solutions for diffusive Lotka-Volterra systems of two competing species ⋮ On the wave front solution of a competition--diffusion system in population dynamics ⋮ Traveling wave solutions for a competitive reaction-diffusion system and their asymptotics ⋮ Travelling front solution for a class of competition-diffusion system with high-order singular point ⋮ Connected Branches of Initial Points for Asymptotic BVPs, With Application to Heteroclinic and Homoclinic Solutions ⋮ A mathematical analysis for a model arising from public goods games ⋮ The estimate of the resolvent and the stability of traveling wave solution ⋮ Heteroclinic Solutions for a System of Strongly Coupled ODEs

Cites Work

• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• Propagating fronts for competing species equations with diffusion
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