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
收藏
页数：12
相关论文
共 50 条
12345