Asymptotic profiles of positive steady states for a diffusive predator–prey model with predator interference. (February 2023)

• Record Type: Journal Article
• Authors: Dong, Yaying; Li, Shanbing
• Is Part Of: Nonlinear analysis. Volume 69(2023)
• Publication Date: 2023-02
• Subjects: Predator interference -- Spatial heterogeneity -- Positive steady states -- Asymptotic profile; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103744
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with positive steady states for a diffusive predator–prey model with predator interference in a spatially heterogeneous environment. We first establish the necessary and sufficient conditions for the existence of positive steady states. In order to get a better understanding of the structure of positive steady states, we further investigate the asymptotic profiles of positive steady states as some parameter tends to zero or infinity.