Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator

被引：20

作者：

Chen, Shanshan ^{[1
,2
]}

Yu, Jianshe ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 11期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Holling type-II functional response; Steady state; Global attractivity; POSITIVE SOLUTIONS; SPATIOTEMPORAL PATTERNS; PARABOLIC-SYSTEMS; MODEL; BIFURCATION;

D O I：

10.1016/j.jde.2016.02.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a diffusive predator prey system with Honing type-II functional response and a nonlinear growth rate for the predator. Our results include the global attractivity of constant equilibria and non-existence of non-constant positive steady states. These results give some ranges for the model parameters within which, spatiotemporal pattern formation is impossible. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：7923 / 7939

页数：17

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