一类具有时滞捕捞项的比率依赖模型的稳定性与分支分析  

Stability and Bifurcation of a Ratio-dependent Predator-prey Food Chain Model with Time Delayed Harvesting

作　　者：黄兴华[1] 高超[1] 

机构地区：[1]连云港广播电视大学建筑工程系,江苏连云港222006

出　　处：《淮海工学院学报（自然科学版）》2011年第2期5-8,共4页Journal of Huaihai Institute of Technology:Natural Sciences Edition

摘　　要：研究了一类具有时滞捕捞项的捕食者食饵模型.利用泛函微分方程理论,讨论了模型的正平衡点的存在性、局部稳定性和Hopf分支的存在性的条件,其次运用Hassard方法分析了周期解分支的方向和稳定性,并给出了数值模拟证实分析的结果.A ratio-dependent predator-prey food chain model with time delayed harvesting is investigated.The theory of functional differential equation is adopted to obtain the conditions on which positive equilibrium exists and Hopf bifurcation occurs.Secondly,the direction and stability of the periodic orbits are investigated by Hassard＇s method and numerical simulations are performed to verify the analytical results.

关 键 词：比率依赖模型 时滞捕捞 HOPF分支 

分 类 号：O175[理学—数学]