Stability of travelling wave solutions for a bistable evolutionary ecology model

DOI10.1016/0362-546X(93)90182-RzbMath0779.35052OpenAlexW2013884677MaRDI QIDQ4695777

Roger Lui

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90182-r

zbMATH Keywords

Evans functionpopulation geneticsparabolic systemlocal asymptotic stabilitytravelling wave solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Genetics and epigenetics (92D10)

Cites Work

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• Geometric theory of semilinear parabolic equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Dichotomies in stability theory
• Perturbation theory for linear operators.
• Existence and stability of travelling wave solutions for a simplified bistable evolutionary ecology model
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Existence of Travelling Wave Solutions for a Bistable Evolutionary Ecology Model

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