关于具有脉冲与HollingⅣ型功能反应的时滞捕食-食饵Gompertz模型的研究(英文)  

Research on a Stage-structured Predator-prey Gompertz Model with Impulsive and Holling Type-Ⅳ Functional Response

作　　者：方先家 邵远夫[1] 王圳[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541000

出　　处：《应用数学》2016年第2期258-268,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11161015,11361012);the Natural Science Foundation of Guangxi(2013GXNSFAA019003)

摘　　要：本文运用比较定理和频闪映射,研究一类具有HollingⅣ型功能反应函数和不同时刻有脉冲收获与储存的Gompertz模型,得到成熟捕食者灭绝周期解存在和全局吸引的充分条件.利用时滞脉冲微分方程比较理论,研究系统的持久性条件.最后通过数值模拟进一步验证理论结果的合理性.In this paper,a stage-structured predator-prey Gompertz model with Holling type-Ⅳ functional response and impulsive harvesting and stocking at different moments is investigated.By using comparison theorem and the stroboscopic map,we obtain the existence and global attractivity of the mature predator-extinction periodic solution.By use of the theories of delay and impulsive differential equation,we investigate the permanence of the system.Finally,examples and numerical analysis are also inserted to illuminate the feasibility of the theoretical results.

关 键 词：年龄结构 脉冲 功能反应函数 全局吸引 一致持久 

分 类 号：O175.1[理学—数学]