两种群都有非常数收获率的Holling-Ⅳ类捕食系统  

Predator-Prey System with Non-constant Harvesting Rate for Prey and Predator under Holling-Ⅳ Functional Response

作　　者：王清娟 吴燕林 Wang Qingjuan;Wu Yanlin(Department of Basic Teaching and Research,Yango University,Fuzhou 350015,China)

机构地区：[1]阳光学院基础教研部,福建福州350015

出　　处：《洛阳师范学院学报》2020年第8期9-12,共4页Journal of Luoyang Normal University

基　　金：福建省教育厅中青年教师教育科研项目(JAT190975);福建省教育厅中青年教师教育科研项目(JAT170772)。

摘　　要：研究了一类捕食者种群和食饵种群均具有非常数收获率的Holling-Ⅳ类捕食系统,通过对系统等倾线性态的讨论,给出了该系统平衡点存在的条件,并分析了平衡点的稳定性.运用Dulac函数法得到了极限环不存在的充分条件.A predator-prey system with non-constant harvesting rate for prey and predator under Holling-Ⅳ functional response is investigated. The conditions of the existence for the equilibrium point are discussed by using isoclines shape, and the stability of the equilibrium point is analyzed. The sufficient conditions for the nonexistence of the limit cycle are obtained by the Dulac function.

关 键 词：Holling-Ⅳ类功能反应函数 收获率 平衡点 极限环 

分 类 号：O175[理学—数学]