佳木斯大学学报:自然科学版
佳木斯大學學報:自然科學版
가목사대학학보:자연과학판
Journal of Jiamusi University(Natural Science Edition)
2012年
2期
308-310,313
,共4页
微分比较原理%合作系统%持久生存性%lyapunov函数%渐近周期解
微分比較原理%閤作繫統%持久生存性%lyapunov函數%漸近週期解
미분비교원리%합작계통%지구생존성%lyapunov함수%점근주기해
differential inequality theory%cooperation system%permanence%Lyapunov function%asymptotically periodic solution
利用微分比较原理研究了一类N种群变时滞合作系统的持久生存性,利用构造lya-punov函数的方法,得到该系统渐近周期解的存在性全局稳定性的充分条件.
利用微分比較原理研究瞭一類N種群變時滯閤作繫統的持久生存性,利用構造lya-punov函數的方法,得到該繫統漸近週期解的存在性全跼穩定性的充分條件.
이용미분비교원리연구료일류N충군변시체합작계통적지구생존성,이용구조lya-punov함수적방법,득도해계통점근주기해적존재성전국은정성적충분조건.
In this paper,an N-species cooperation system with time-varying delays was investigated.By using differential inequality theory,the permanence of this system was obtained and a suitable Lyapunov function was constructed.the sufficient conditions which guarantee the existence and stability of a positive asymptotically periodic solution was given.