摘要
研究了一类具有Holling Ⅲ类功能反应且周期系统的三维非自治捕食系统,利用微分不等式给出了系统永久持续生存的充分条件;同时,通过构造Lyapunov函数,建立了系统正周期解存在惟一及全局渐近稳定的充分判据.
The non-autonomous predator-prey system of three species with Holling′s type Ⅲ functional response and periodic coefficients is discussed. Conditions are obtained for the persistence of this system by means of differential inequality. Whar′s more, by constructing a special Lyapunov function, the suffi- cient conditions for the existence and global asymptotic stability of the responsive system are derived.
出处
《纺织高校基础科学学报》
CAS
2007年第4期392-395,共4页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10071048)
