Global asymptotical stability of a n+1 dimensional Leslie-Gower predator-prey model

被引：1

作者：

Yang, Wensheng ^{[1
]}

Li, Xuepeng ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 235卷

关键词：

Prey refuge; Proportional harvesting; Biological resources; Lyapunov function; Global asymptotical stability; QUALITATIVE-ANALYSIS; FUNCTIONAL-RESPONSE; REFUGE; SYSTEMS;

D O I：

10.1016/j.amc.2014.02.102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing suitable Lyapunov function, we obtain the global asymptotical stability of n + 1 dimensional Leslie-Gower predator-prey models. It is shown that the prey refuge and the proportional harvesting have no influence on the global asymptotical stability of the system, but they can change the position of the unique interior equilibrium. Finally, mathematic analysis shows that if we choose and control the harvesting efforts e; e(i) appropriately, we can not only harvest the biological resources and achieve the economic interest, but also protect the biological resources. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：377 / 382

页数：6

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