2018/10/17 by Fang Li, Xueli, Bai, Fang, Li
Mathematics · Medicine · #45G15 #45M05 (Primary) #45M10 #45M20 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis
paper · pdf · doi:10.48550/arxiv.1810.07402
openalex publication_date 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the global dynamics of a general 2× 2 competition models with nonsymmetric nonlocal dispersal operators. Our results indicate that local stability implies global stability provided that one of the diffusion rates is sufficiently small. This paper continues the work in \citeBaiLi2017, where competition models with symmetric nonlocal operators are considered.