摘要
研究了功能反应为 x 的食饵-捕食系统的渐进性.通过构造该系统的最终有界域和利用Lyapunov 函数方法,证明了在适当的条件下,该系统是持续生存的,并且若该系统为周期系统,则存在惟一渐进稳定的正周期解.
This paper investigates the predator prey system with functional reaction function x . By constructing the ultimately bounded domain and Lyapunov function, it is proved that the system can be made persistent under some appropriate conditions. Further, if the system is a periodic system, it can have a strictly positive periodic orbit which is globally asymptotic stability under the appropriate conditions.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第4期12-16,共5页
Journal of Shaanxi Normal University：Natural Science Edition
关键词
常微分方程
功能反应
渐进性
食饵-捕食系统
ordinary differential equation
functional reaction
ultimately bounded domain
globally asymptotic stability
