Two-dimensional traveling waves arising from planar front interaction in a three-species competition-diffusion system

DOI10.1007/s13160-015-0186-4zbMath1329.35173OpenAlexW2183663951MaRDI QIDQ904575

Lorenzo Contento, Makoto Tohma, Masayasu Mimura

Publication date: 13 January 2016

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-015-0186-4

zbMATH Keywords

competitor-mediated coexistencecompetition-diffusion systeminteraction of planar propagating frontswedge-shaped traveling waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)

Related Items (8)

Revealing new dynamical patterns in a reaction–diffusion model with cyclic competition via a novel computational framework ⋮ 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 ⋮ Propagating direction in the two species Lotka-Volterra competition-diffusion system ⋮ High-order semi-implicit linear multistep LG scheme for a three species competition-diffusion system in two-dimensional spatial domain arising in ecology ⋮ Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species ⋮ Ecological invasion in competition-diffusion systems when the exotic species is either very strong or very weak ⋮ Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system

Uses Software

• AUTO
• FreeFem++
• AUTO-07P

Cites Work

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• New development in freefem++
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