北华大学学报（自然科学版）2016，Vol.17Issue(4)：421-426,6.DOI:10.11713/j.issn.1009-4822.2016.04.001
双时滞比率依赖的HollingⅢ-Leslie型系统的Hopf分支
Hopf Bifurcation Analysis on a Ratio-dependent HollingⅢ-Leslie Type System with Two Delays
摘要
Abstract
A predator-prey system of ratio-dependent Holling-Ⅲ functional response and the predator ’ s numerical response of Leslie form with two delays is considered. By analyzing the associated characteristic equation,existence and local stability of the equilibrium are obtained. Hopf bifurcation’ s existence is discussed. Finally,numerical simulation was done to verify the main conclusion by using MATLAB software.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..双时滞比率依赖的HollingⅢ-Leslie型系统的Hopf分支[J].北华大学学报（自然科学版）,2016,17(4):421-426,6.基金项目
四川省教育厅自然科学基金项目(15ZB0316 （）
16ZB0357) （）
四川文理学院校级重点项目(2014Z005Z) （2014Z005Z）
