A maximum principle for diffusive Lotka-Volterra systems of two competing species

2015/08/31 by Li-Chang Hung, Hung, Li-Chang, Chiun‐Chuan Chen +1 · 1 citation
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1509.00071

openalex publication_date 2015/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads to the nonexistence of traveling waves solutions for systems of three competing species.

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• Non-Monotone Traveling Waves of the Weak Competition Lotka-Volterra System

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