具有周期系数包含脉冲效应的比率依赖捕食-被捕食模型的周期解

Periodic Solution of Ratio-Dependent Predator-Prey Model with Periodic Coefficients and Impulsive Effects

文章主要研究包含脉冲效应且系数为周期函数的比率依赖捕食与被捕食模型的周期解存在性问题.通过Mawhin延拓定理和分析工具,证明了该模型周期解的存在性,得到了周期解存在的充分条件.经过数值模拟,进一步验证了所得周期解判定条件的有效性.

The main purpose of this paper is to explore the existence of the periodic solution of ratio-dependent preda- tor-prey models with periodic coefficients and impulsive harvest （feed）. The existence of the periodic solution is proved by using Mawhin＇s continuation theorem and analysis techniques, and the sufficient existence-conditions are also obtained. Furthermore, the numerical simulations confirm our analytic results.