一类两种群均有收获率捕食系统的细焦点与极限环  

Weak Focus and Limit Cycles of a Predator-prey System with Harvesting Rates

作　　者：韩二东[1] 郑唯唯[1] 罗立贵[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《生物数学学报》2012年第3期447-454,共8页Journal of Biomathematics

基　　金：陕西省教育厅自然科学基金资助项目(11JK0502);西安工程大学博士科研启动基金

摘　　要：研究一类具有HollingⅡ类功能反应且两种群均为非常数收获率的捕食系统,其中食饵种群具有非线性密度制约.利用微分方程定性与稳定性理论及分支理论,得到系统平衡点的性态及极限环存在与否的充分条件,利用Hopf分支理论得到存到多个极限环的充分条件.A kind of predator-prey system with outstanding harvesting rates under HollingⅡfunctional response is considered,where prey is nonlinear density dependent.Using ordinary differential equations characterization,stability and bifurcation theory,the behavior of equilibrium points and sufficient conditions of the existence of the limit cycles are given.Meanwhile, on the basis of the Hopf-bifurcations,some sufficient conditions are obtained for the existence of several limit cycles.

关 键 词：收获率 非线性密度制约 细焦点 极限环 

分 类 号：O175.12[理学—数学]