STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES

被引：12

作者：

Yousefnezhad, M. ^{[1
]}

Mohammadi, S. A. ^{[2
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 7591874934, Iran

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 01期

关键词：

predator-prey; global stability; steady state; Lyapunov function; GLOBAL EXISTENCE; LOGISTIC SOURCE; CHEMOTAXIS; MODEL;

D O I：

10.1016/S0252-9602(15)30078-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a diffusive predator-prey system with general functional responses and prey-tactic sensitivities is studied. Providing such generality, we construct a Lyapunov function and we show that the positive constant steady state is locally and globally asymptotically stable. With an eye on the biological interpretations, a numerical simulation is performed to illustrate the feasibility of the analytical findings

引用

页码：62 / 72

页数：11

共 21 条

[11]

LaSalle J., 1961, STABILITY LYAPUNOVS

[12] Steady states of a predator-prey model with prey-taxis [J].