研究一类具有双线性密度制约及Beddington-DeAngelis功能反应的捕食系统收获模型.运用微分方程定性稳定性理论讨论系统正平衡点的性态,得到其局部渐近稳定及全局渐近稳定的充分条件,利用Pontryagin最大值原理得到系统的最优收获策略.%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.
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