三种群捕食系统动力行为与最优捕获策略  

Dynamical behavior and optimal capture strategy of three-species predator-prey system

作　　者：冯庆红[1] 陈荣军[1] 冯艳青[1] 王忠英[1] 陈立范 FENG Qinghong;CHEN Rongjun;FENG Yanqing;WANG Zhongying;CHEN Lifan(School of Sciences,Changzhou Institute and Technology,Changzhou 213032,China;School of Arts and Sciences,Shanghai Universty of Medicine and Health Sciences,Shanghai 201318,China)

机构地区：[1]常州工学院理学院,江苏常州213032 [2]上海健康医学院文理教学部,上海201318

出　　处：《扬州大学学报（自然科学版）》2020年第4期4-7,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(31700466)。

摘　　要：研究一类带B-D功能反应函数的三种群捕食系统,利用Routh-Hurwitz判别法给出正平衡点局部渐近稳定的条件,并对系统中2个竞争捕食者种群同时捕获进行分析,利用Pantryagin最大值原理得到捕获的唯一最优平衡解以及相应的捕获努力量.In this paper,a three-species predator-prey system with Beddington-DeAngelis functional response is investigated.By Routh-Hurwitz discriminant method,the conditions for local asymptotic stability of positive equilibrium is given.The simultaneous capture of two competing predator species in the system is analyzed.The unique optimal equilibrium solution of optimal harvesting and the corresponding capture effort are obtained by using Pantryagin maximum principle.

关 键 词：食饵捕食模型 B-D功能反应 稳定性 最优捕获 

分 类 号：O175.26[理学—数学] S763.302[理学—基础数学]