Asymptotic profiles of positive steady states for a diffusive predator-prey model with predator interference?

被引：1

作者：

Dong, Yaying ^{[1
,2
]}

Li, Shanbing ^{[3
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[3] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 69卷

关键词：

Predator interference; Spatial heterogeneity; Positive steady states; Asymptotic profile; QUALITATIVE-ANALYSIS; FUNCTIONAL-RESPONSE; EPIDEMIC MODEL; SPATIAL HETEROGENEITY; PATTERN-FORMATION; DYNAMICS; SYSTEM; BIFURCATION; UNIQUENESS; SINGLE;

D O I：

10.1016/j.nonrwa.2022.103744

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：21

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