Uniqueness and global stability of positive stationary solution for a predator-prey system

被引：6

作者：

Wang, Yu-Xia ^{[1
]}

Li, Wan-Tong ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 462卷 / 01期

关键词：

Predator-prey model; Positive stationary solution; Spatial heterogeneity; Global stability; MUTUAL INTERFERENCE; MODEL;

D O I：

10.1016/j.jmaa.2018.02.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned about a predator-prey model with Beddington-DeAngelis functional response, in which a protection zone is set for the prey. In a previous paper, it has been shown that the coefficient k measuring the mutual interference between predators in the Beddington-DeAngelis functional response plays a crucial role in the predator-prey system. As k is large enough, there exists a unique globally stable positive stationary solution except a special case. By introducing an equivalent system, this paper reveals that the uniqueness and global stability still holds true in the special case. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：577 / 589

页数：13

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