Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species

DOI10.1088/1361-6544/ab9244zbMath1451.35044OpenAlexW3081145508MaRDI QIDQ5130936

Toshiyuki Ogawa, Li-Chang Hung, Chueh-Hsin Chang, Chuin Chuan Chen, Masayasu Mimura

Publication date: 30 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab9244

zbMATH Keywords

asymptotic stabilitycompetition-diffusion systemslinearized operatorsmethod of sub- and super-solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

On the invading speeds for a diffusive three-species competition system ⋮ Existence of front-back-pulse solutions of a three-species Lotka-Volterra competition-diffusion system ⋮ Alien invasion into the buffer zone between two competing species ⋮ Boundedness and stabilization in a three-species chemotaxis-competition system ⋮ Bifurcation of co-existing traveling wave solutions in a three-component competition-diffusion system ⋮ Stacked invasion waves in a competition-diffusion model with three species ⋮ Unnamed Item

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