具时滞的离散Lotka-Volterra周期系统的持久性  

Permanence for a Discrete Periodic Lotka-Volterra System with Delays

作　　者：张娜[1] 蔡娃娃[1] 陈秋红[1] 

机构地区：[1]深圳大学数学与计算科学学院,广东深圳518060

出　　处：《临沂师范学院学报》2010年第3期62-67,共6页Journal of Linyi Teachers' College

基　　金：深圳大学青年科学基金(200852)

摘　　要：对以下具有时滞的离散Lotka-Volterra周期系统进行研究:x(n+1)=x(n)exp{b(n)-sum from i=l to q a_i(n)x(n-τ_i)-sum from j=l to m c_j(n)y(n-l_j)},y(n+1)=y(n)exp{r(n)-sum from i=l to q d_i(n)x(n-σ_i)-sum from j=l to m e_j(n)y(n-s_j)}.通过构造相关辅助方程及一些分析和计算技巧,获得该系统具有持久性的一个充分条件,改良了相关已有结果.In this paper, we investigate the following discrete periodic lotka-Volterra system with delays：By constructing auxiliary equations and some analysis and computing techniques, a sufficient condition is obtained for permanence of the system, and some existing results are improved.

关 键 词：持久性 周期性 Lotka—Volterea系统 

分 类 号：O175.7[理学—数学]