文章基本信息

标题：Global attractivity of a discrete cooperative system incorporating harvesting
本地全文：下载
作者：Fengde Chen ; Huiling Wu ; Xiangdong Xie 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：268
DOI：10.1186/s13662-016-0996-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：A discrete cooperative model incorporating harvesting that takes the form x ( k + 1 ) = x ( k ) exp { r 1 − E q − 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 } $$ egin{aligned}& x(k+1) = x(k) xp iggl{ r_)-Eq-b_)x(k)- rac {a_)x(k)}{y(k)+k_)} iggr} , \& y(k+1) = y(k) xp iggl{ r_,-b_,y(k)- rac{a_,y(k)}{x(k)+k_,} iggr} nd{aligned}$$ 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.
关键词：global attractivity ; cooperation ; equilibrium ; iterative method