摘要
对一类具有时滞的两种群竞争系统进行了研究,利用一些不等式的技巧得到了系统持久生存的充分条件,并且通过构造一个离散的Lyapunov函数得到了系统正解全局稳定的条件.
In this paper,a difference competitive system with two-species and timedelay is studied.Some sufficient conditions for the permanence of this system is derived by some technique of inequalities.Moreover,conditions which guarantee the global stability of positive solution are also obtained by constructing a certain Lyapunov-like discrete function.
出处
《生物数学学报》
CSCD
2012年第3期385-394,共10页
Journal of Biomathematics
基金
supported by the Key Project of Chinese Ministry of Education(No.210 134)
the Foundation of Educational Department of Hubei Province in China(No.B2 011906)
the Innovation Term ofHubei University for Nationalities(No.MY2011 T007)
关键词
时滞离散竞争系统
持久生存性
全局稳定性
正解
Delay discrete competitive system
Permanence
Global attractivity
Positive solution
