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带无穷时滞两种群Lotka-Volterra离散模型的持久性 被引量：1

Permanence of two species Lotka-Volterra discrete system with infinite delay
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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.
作者 卞继承 范志强 徐加波 樊小琳
机构地区 新疆工程学院基础教学部
出处 《纯粹数学与应用数学》 CSCD 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)
关键词 持久性 种群离散模型 LOTKA-VOLTERRA系统 无穷时滞 permanence species discrete system Lotka-Volterra system infinite delay
分类号 O178 [理学—基础数学]
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参考文献10

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共引文献5

同被引文献8

  • 1梁志清.一类基于比例确定的离散Leslie系统正周期解的存在性[J].生物数学学报,2004,19(4):421-427. 被引量：9
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  • 7Teng Z D, Zhang Y, Cao J. Permanence criteria for general delayed discrete nonautonomous n-species Kolmogorov systems and its applications [J]. Comput. Math. Appl., 2010,59(2):812-828.
  • 8Li Y K, Zhang T W. Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control [J]. Nonlinear Anal. RWA., 2011,12(3):1850-1864.

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纯粹数学与应用数学
2014年 第2期

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