具有Michaelis-Menten类型功能反应的捕食与被捕食脉时滞冲微分方程的周期解的存在性

摘要

研究具有Miehaelis-Menten类型功能反应的捕食与被捕食脉冲微分方程的周期解的存在性.通过运用Mawhin的延拓定理得到了正周期解的存在的充足的和合理的情况.%The principal aim of this paper is to explore the existence of solution with strictly positive components of Predator-prey system governed by impulsive differential equation with delays.By using continuation theorem based on Gaines and Mawhin's coincidence degree,sufficient and realistic conditions are obtained for the global existence of positive periodic solution of a delayed predator-prey system with Michaelis-Menten type functional response.