摘要
利用比较定理结合 Liapunov泛函 ,讨论一类具有多个周期时滞的多种群生态竞争 -捕食系统正周期解的存在性和全局吸引性 .最后 ,利用一致持久性理论 ,讨论捕食 -食饵系统正周期解存在的充要条件 .
In this paper, by means of comparison theorem and Liapunov functionals, the authors consider the global attractivity of positive periodic solution of multispecies ecological competition predator system with several periodic delays. Finally, by using persistence theory, the sufficient and necessary conditions of positive periodic solutions are obtained for predator prey delay systems.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2004年第6期641-653,共13页
Acta Mathematica Scientia
基金
国家自然科学基金 (A0 3 2 462 3
1 0 2 71 0 44)资助
关键词
比较定理
竞争-捕食系统
全局吸引性
Comparison-theorem
Competition predator system
Global attractivity.