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（英文）  

Dynamics of a Delayed Predator-Prey Model with Birth Pulse and Impulsive Harvesting on the Prey

作　　者：刘钦 邵远夫[1] 周斯 王圳[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《应用数学》2018年第1期153-167,共15页Mathematica Applicata

基　　金：supported by Natural Science Foundation of Guangxi(2016GXNSFAA380194);National Natural Science Foundation of China(11161015)

摘　　要：考虑到生物管理中不同时刻的脉冲出生和脉冲生物控制问题,我们研究了一类脉冲出生与食饵脉冲捕获的捕食-食饵模型,证明该系统的所有解是有界的,研究得到捕食者灭绝周期解的相关性质(解的存在性、解的稳定性和全局吸引性)和系统持久性,同时通过数值模拟验证相关理论结果.此外,当捕食者之间有相互干扰时,通过数值模拟进一步讨论系统的持久性,揭示了干扰因素对系统持久性的影响.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 

分 类 号：O175.2[理学—数学]