Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type

2022/01/12 by Chang-Hong Wu, Wu, Chang-Hong, Dongyuan Xiao +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.2201.04389

openalex publication_date 2022/01/12 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves is not linear determined, we establish the precise asymptotic behavior of the solution of the Cauchy problem in two different situations: (i) one species is an invasive one and the other is a native species; (ii) both two species are invasive species.

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• On the logarithmic correction of transition fronts in shifting environments
• Invasion Fronts in Shifting Habitats and Competition Systems: A Hamilton-Jacobi Approach and Nonlocal Effects

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