Nonexistence of traveling wave solutions, exact and semi-exact traveling wave solutions for diffusive Lotka-Volterra systems of three competing species

DOI10.3934/cpaa.2016.15.1451zbMath1348.35109OpenAlexW2340077623MaRDI QIDQ324015

Li-Chang Hung, Chuin Chuan Chen

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.1451

zbMATH Keywords

competitiondiffusive Lotka-Volterra systemstraveling wave solutionsemi-exact solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Traveling wave solutions (35C07)

Related Items (13)

An \(N\)-barrier maximum principle for autonomous systems of \(n\) species and its application to problems arising from population dynamics ⋮ A maximum principle for diffusive Lotka-Volterra systems of two competing species ⋮ Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ Stability and bifurcation on predator-prey systems with nonlocal prey competition ⋮ N-barrier maximum principle for degenerate elliptic systems and its application ⋮ Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results ⋮ Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species ⋮ Nonlinear estimates for traveling wave solutions of reaction diffusion equations ⋮ The Influence of Dirichlet Boundary Conditions on the Dynamics for a Diffusive Predator–Prey System ⋮ Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models ⋮ Unnamed Item ⋮ SPATIAL PATTERN FORMATIONS IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH NON-HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS

Cites Work

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