Classification of global dynamics of competition models with nonlocal dispersals I: Symmetric kernels

2017/04/10 by Xueli Bai, Fang Li, Bai, Xueli +1
Mathematics · Medicine · #35B40 (Primary) #35K57 #35R09 #92D25 #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.1704.02728

openalex publication_date 2017/04/10 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we gives a complete classification of the global dynamics of two- species Lotka-Volterra competition models with nonlocal dispersals: where K, P represent nonlocal operators, under the assumptions that the nonlo- cal operators are symmetric, the models admit two semi-trivial steady states and 0

Citations

• The evolution of dispersal
• Persistence criteria for populations with non-local dispersion

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