具密度制约的Holling Ⅱ类捕食收获系统的定性分析  

Qualitative analysis of HollingⅡ predator-prey system with double density restrict and harvesting rates

作　　者：郑唯唯[1] 霍萱萱 杨萍[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纺织高校基础科学学报》2014年第2期173-176,181,共5页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅自然科学研究项目(11JK0502)

摘　　要：研究一类具有双密度制约的HollingⅡ类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分析了模型平衡点的性态,给出了系统极限环不存在的充分条件,利用Pontryagin最大值原理得到系统的最优捕获策略.A predator-prey system with HollingⅡfunctional response and selective harvesting rates of predator species is studied,where prey and predator both have density dependent.The properties of equilibrium are analysed and the sufficient condition for the nonexistence of limit cycle is given by the ordinary differential equations characterization and stability.An optimal harvesting is obtained by Pontryagin′s maximum principle.

关 键 词：HollingⅡ类功能反应 极限环 Pontryagin最大值原理 最优捕获策略 

分 类 号：O175.13[理学—数学]