应用数学2018，Vol.31Issue(1)：153-167,15.
一类具有脉冲出生与食饵脉冲捕获的时滞捕食-食饵模型的动力学分析
Dynamics of a Delayed Predator-Prey Model with Birth Pulse and Impulsive Harvesting on the Prey
摘要
Abstract
Taking into account birth pulse and impulsive biological control for biological management at different fixed moment, a digestion delay predator-prey model with birth pulse and impulsive harvesting on the prey is investigated. We prove that all solutions of the system are bounded. The related properties of the predator extinction periodic solution (the existence, stability and global attraction of the solution) and permanence of this system are obtained. Meanwhile, we use numerical simulations to verify the validity of the theoretical conclusions. At last, we discuss and simulate the permanence of the whole ecosystem when the mutual interference occurs between predators.关键词
相互干扰/捕食者灭绝/脉冲效应/持久性Key words
Mutual interference/Predator extinction/Impulsive effect/Permanence分类
数理科学引用本文复制引用
刘钦,邵远夫,周斯,王圳..一类具有脉冲出生与食饵脉冲捕获的时滞捕食-食饵模型的动力学分析[J].应用数学,2018,31(1):153-167,15.基金项目
This paper is supported by Natural Science Foundation of Guangxi (2016GXNS-FAA380194), National Natural Science Foundation of China (11161015) （2016GXNS-FAA380194）
