具有分布时滞扩散的非自治两种群竞争系统的研究  

The Study of Nonautonomous Two Species Competitive Diffusion System with Distributed Time Delay

作　　者：宁海成 

机构地区：[1]新疆石河子职业技术学院,新疆石河子832000

出　　处：《科技通报》2012年第4期25-27,共3页Bulletin of Science and Technology

摘　　要：通过构造V函数法及细致的分析得到系统的一致持续性,在种群一致持续性前提下,利用Brouwer不动点定理证明系统至少存在一个正周期解,并通过构造Lyapunov泛函和运用微分不等式,稳定性理论及Barbalat's引理得到了判定正周期解的全局渐近稳定性和全局吸引的充分条件。The uniform persistence of the system is discussed vie using the V function method and mathematical analysis. Based on the above conclusions, new sufficient conditions of the existence of positive periodic solution of the system and its global asymptotic stability and global attractive are established by using Brouwer fixed point theorem and constructing Lyapunov functionals and using differential inequality method, the theory of stability and Barbalat＇ s lemma.

关 键 词：竞争扩散系统 分布时滞 一致持续性 全局吸引性 

分 类 号：O175.1[理学—数学]