An integro-PDE model with variable motility. (February 2019)

• Record Type: Journal Article
• Authors: Han, Bang-Sheng; Yang, Yinghui
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 186
• Page End: 199
• Publication Date: 2019-02
• Subjects: Nonlocal -- Reaction–diffusion equation -- Mutation -- Mathematical ecology; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.004
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with a nonlocal reaction–diffusion–mutation model. It involves the spatial variable and a trait variable which govern the spatial diffusion of species. By establishing comparison principle and constructing monotone iterative sequence, we have proved the existence of solution to Cauchy problem. Then, based on the quasi-elementary solution, auxiliary equation and method of successive improvement of upper and lower solutions, the solutions are shown to be unique, bounded and globally stable.