A PREDATOR-PREY SYSTEM WITH HOLLING-TYPE FUNCTIONAL RESPONSE

被引：6

作者：

Beroual, Nabil ^{[1
]}

Sari, Tewfik ^{[2
]}

机构：

[1] Univ Ferhat Abbes, Dept Math, Setif, Algeria

[2] Univ Montpellier, Inst Agro, INRAE, ITAP, Montpellier, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 12期

关键词：

LIMIT-CYCLES; UNIQUENESS; NONEXISTENCE; STABILITY;

D O I：

10.1090/proc/15166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Gause-type predator-prey system with a large class of growth and response functions, in the case where the response function is not smooth at the origin. We discuss the conditions under which this system has exactly one stable limit cycle or has a positive stable equilibrium point and we describe the basin of attraction of the stable limit cycle and the stable equilibrium point, respectively. Our results correct previous results of the existing literature obtained for the Holling response function x(p)/(a + x(p)), in the case where 0 < p < 1.

引用

页码：5127 / 5140

页数：14

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