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具有离散时滞的非自治的两种群竞争模型
引用本文:梁建秀.具有离散时滞的非自治的两种群竞争模型[J].雁北师范学院学报,2006,22(2):4-6.
作者姓名:梁建秀
作者单位:晋中学院数学系,山西,晋中,030600
摘    要:利用微分不等式,构造李亚普诺夫泛函及Lyapunov-Razumikin Type定理,得到了具有离散时滞的非自治的两种群竞争模型的持续生存条件及正周期解存在且全局渐近稳定的充分条件.

关 键 词:一致持续生存  时滞  正周期解  全局渐近稳定
文章编号:1009-1939(2006)02-0004-03
收稿时间:2005-09-10
修稿时间:2005年9月10日

A Nonautonomous Two- species Competition Model with Discrete Delays
LIANG Jian-xiu.A Nonautonomous Two- species Competition Model with Discrete Delays[J].Journal of Yanbei Teachers College,2006,22(2):4-6.
Authors:LIANG Jian-xiu
Abstract:in this paper,A nonautonomous Two-species competition model with discrete delays is studied.It is shown that model is uniform persistence under some appropriate conditions and sufficient conditioni are established the existence of a positive periodic so- lution which is globally asymptotically stable by differential inequality and lyapunov functional.
Keywords:uniform persistence  delay  positive periodic solution  global asymptotically stable
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