Effects of boundary and spatial heterogeneity on nonlocal dispersal equations

This paper is concerned with the positive solutions of some nonlocal dispersal equations. We study the effects of boundary condition and spatial heterogeneity on the asymptotic behavior of positive solutions. By analyzing the perturbation equations, we obtain the asymptotic profiles and limiting behaviors. The results of the paper exhibit how the boundary condition and spatial heterogeneity change the patterns of nonlocal dispersal equations.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the positive solutions of nonlocal dispersal equations and explores the influence of boundary condition and spatial heterogeneity on the asymptotic behavior of these solutions. By analyzing the perturbation equations, the paper derives the asymptotic profiles and limiting behaviors. The results demonstrate how the patterns of nonlocal dispersal equations are altered by the boundary condition and spatial heterogeneity.