纺织高校基础科学学报2012，Vol.25Issue(2)：145-148,4.
一类具有Beddington-DeAngelis功能反应捕食系统收获模型的稳定性
Stability of a predator-prey system with Beddington-DeAngelis functional response and harvesting rates
摘要
Abstract
A predator-prey system with Beddington-DeAngelis functional response and selective harvesting rates of predator species is given, where prey and predator both has linear density dependent. Using ordinary differential equations characterization and stability.the existence and uniqueness of positive e-quilibriums was studied. The sufficient conditions of its global asymptotic stability and local asymptotic stability are given. An optimal taxation policy is obtained by Pontryagin's maximum principle.关键词
Beddington-DeAngelis功能反应/渐近稳定/Pontryagin最大值原理/最优收获策略Key words
Beddington-DeAngelis functional response/ asymptotic stability/ Pontryagin s maximum principle /Optimal harvesting分类
数理科学引用本文复制引用
韩二东,郑唯唯,罗立贵..一类具有Beddington-DeAngelis功能反应捕食系统收获模型的稳定性[J].纺织高校基础科学学报,2012,25(2):145-148,4.基金项目
陕西省教育厅自然科学基金资助项目(11JK0502) （11JK0502）
