带无穷时滞两种群Lotka-Volterra离散模型的持久性  

Permanence of two species Lotka-Volterra discrete system with infinite delay

作　　者：卞继承[1] 范志强[1] 徐加波[1] 樊小琳[1] 

机构地区：[1]新疆工程学院基础教学部,新疆乌鲁木齐830091

出　　处：《纯粹数学与应用数学》2014年第2期166-172,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(11301451);新疆自治区高校科研计划(XJUEDU2013S44)

摘　　要：研究了一类无穷时滞两种群竞争Lotka-Volterra离散模型.通过构造李雅普诺夫函数,利用不等式的放缩技巧,给出了系统持久的充分条件.从而可知无穷时滞对种群的持久性没有影响.In this paper, a Lotka-volterra competitive discrete system with infinity delay is investigated. By constructing Lypunov functions, an sufficient conditions for the permanence of the system has been established. From the result, we find that the infinity delay does not effect the permanence of the system.

关 键 词：持久性 种群离散模型 LOTKA-VOLTERRA系统 无穷时滞 

分 类 号：O178[理学—数学]