NONEXISTENCE OF NONCONSTANT POSITIVE STEADY STATES OF A DIFFUSIVE PREDATOR-PREY MODEL

被引：0

作者：

Chen, Shanshan ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Reaction-diffusion; nonexistence; steady state; PATTERN-FORMATION; SPATIOTEMPORAL PATTERNS; BIFURCATION-ANALYSIS; GLOBAL BIFURCATION; LIMIT-CYCLE; DYNAMICS; SYSTEM; UNIQUENESS; STABILITY;

D O I：

10.3934/cpaa.2018026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a diffusive predator-prey model with a general predator functional response. We show that there exist no nonconstant positive steady states when the interaction between the predator and prey is strong. This result implies that the global bifurcating branches of steady state solutions are bounded loops for a predator-prey model with Holling type III functional response.

引用

页码：477 / 485

页数：9

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