A two-species competition model with mixed dispersal and free boundaries in time-periodic environment

2019/10/15 by Qiaoling Chen, Chen, Qiaoling, Fengquan Li +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #35K57 #35K61 #35R35 #92D25 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1910.06901

openalex publication_date 2019/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with a Lotka-Volterra type competition model with free boundaries in time-periodic environment. One species is assumed to adopt nonlocal dispersal and the other one adopts mixed dispersal, which is a combination of both random dispersal and nonlocal dispersal. We show that this free boundary problem with more general growth functions admits a unique solution defined for all time. A spreading-vanishing dichotomy is obtained and criteria for spreading and vanishing are provided. Moreover, under the weak competition condition we provide the long-time asymptotic behavior of solution when spreading occurs.

Citations

• Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media
• A Lotka-Volterra competition model with nonlocal diffusion and free boundaries

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