文章基本信息

标题：Stability and Hopf bifurcation for a ratio-dependent predator-prey system with stage structure and time delay
本地全文：下载
作者：Lingshu Wang ; Guanghui Feng
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：255
DOI：10.1186/s13662-015-0548-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：A ratio-dependent predator-prey system with time delay due to the gestation of the predator and stage structure for both the predator and the prey is investigated. By analyzing the corresponding characteristic equations, the local stability of the predator-extinction equilibrium and the coexistence equilibrium of the system are discussed, respectively. Further, the existence of Hopf bifurcation at the coexistence equilibrium is also studied. By comparison arguments, sufficient conditions are obtained for the global stability of the predator-extinction equilibrium. By using an iteration technique, sufficient conditions are derived for the global stability of the coexistence equilibrium. Numerical simulations are carried out to illustrate the analytical results.
关键词：predator-prey system ; stage structure ; time delay ; stability ; Hopf bifurcation