摘要
研究一类基于比率且具有收获和时滞的捕食系统.证明了系统正周期解的存在性,并通过构造适当的Lyapunov泛函,给出了正周期解全局稳定的充分条件.
In this paper, we consider the Ratio-dependent predator-prey system with harvesting and time delay. The existence of positive periodic solution is proved, and by constructing appropriate Lyapunov function, sufficient conditions are obtained to ensure the global stability of positive periodic solution.
出处
《纯粹数学与应用数学》
CSCD
2013年第5期520-528,共9页
Pure and Applied Mathematics
关键词
时滞
收获率
比率依赖
周期解
LYAPUNOV泛函
time delay, harvesting, ratio-depedent, positive periodic solution, Lyapunov function