北华大学学报（自然科学版）Issue(1)：9-16,8.DOI:10.11713/j.issn.1009-4822.2015.01.003
双时滞比率依赖Holling-Ⅳ和Leslie型捕食-食饵系统的Hopf分支
Hopf Bifurcation of Ratio-dependent Holling IV and Leslie Type Predator-prey System with Two Delays
摘要
Abstract
A predator-prey system of ratio-dependent simplified Holling-Ⅳfunctional response and the predator’ s numerical response of Leslie form with two delays is considered. By analyzing the associated characteristic equation,the local stability of the equilibrium is obtained. Hopf bifurcation ’ s existence is discussed. Finally, numerical simulation is done for instance to verify the main conclusion.关键词
Hopf分支/捕食-食饵系统/时滞/平衡点/Holling-ⅣKey words
Hopf bifurcation/predator-prey system/delay/equilibrium/Holling-Ⅳ分类
数理科学引用本文复制引用
郑宗剑..双时滞比率依赖Holling-Ⅳ和Leslie型捕食-食饵系统的Hopf分支[J].北华大学学报（自然科学版）,2015,(1):9-16,8.基金项目
四川省教育厅自然科学基金项目(13ZB0102 （）
15ZB0316) （）
四川革命老区发展研究中心项目(SLQ2014C-17) （SLQ2014C-17）
四川文理学院校级重点课题(2013z003z) （2013z003z）
