Global attractivity of a discrete cooperative system incorporating harvesting

被引：25

作者：

Chen, Fengde ^{[1
]}

Wu, Huiling ^{[2
,3
]}

Xie, Xiangdong ^{[4
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

[2] Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China

[3] Fujian Agr & Forestry Univ, Jinshan Coll, Fuzhou 350002, Fujian, Peoples R China

[4] Ningde Normal Univ, Dept Math, Ningde 352300, Fujian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

关键词：

global attractivity; cooperation; equilibrium; iterative method; MUTUALISM MODEL; PERIODIC-SOLUTIONS; TIME DELAYS; PERMANENCE;

D O I：

10.1186/s13662-016-0996-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discrete cooperative model incorporating harvesting that takes the form x(k + 1) = x(k) exp{r(1) - Eq - b(1)x(k) - a(1)x(k)/y(k) + k(1)}, y(k + 1) = y(k) exp{r(2) - b(2)y(k) - a(2)y(k)/x(k) + k(2)} is proposed and studied in this paper. By using the iterative method and the comparison principle of difference equations, a set of sufficient conditions which ensure the global attractivity of the interior equilibrium of the system is obtained. Numeric simulations show the feasibility of the main result.

引用

页数：12

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