计算机工程与应用Issue(21):48-51,79,5.DOI:10.3778/j.issn.1002-8331.1502-0140
双时滞HollingIII-Leslie型捕食-食饵系统的Hopf分支
Hopf bifurcation analysis of Holling III-Leslie type predator-prey system with two delays
摘要
Abstract
In this paper, a predator-prey system with two delays Holling-III functional response and the predator’s numerical response of Leslie form is studied. By analyzing the corrsponding characteristic equation, local stability of the equilibrium is obtained. The existence of Hopf bifurcation is discussed. A numerical example is given.关键词
Hopf分支/捕食-食饵系统/时滞/平衡点/Holling-IIIKey words
Hopf bifurcation/predator-prey system/delay/equilibrium/Holling-III分类
数理科学引用本文复制引用
郑宗剑..双时滞HollingIII-Leslie型捕食-食饵系统的Hopf分支[J].计算机工程与应用,2015,(21):48-51,79,5.基金项目
四川省教育厅自然科学基金项目(No.15ZB0316);四川革命老区发展研究中心项目(No.SLQ2014C-17);四川文理学院校级重点课题(No.2013Z003Z,No.2014Z005Z)。 ()