文章基本信息

标题：The stability and bifurcation analysis of a discrete Holling-Tanner model
本地全文：下载
作者：Hui Cao ; Zongmin Yue ; Yicang Zhou 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：330
DOI：10.1186/1687-1847-2013-330
语种：English
出版社：Hindawi Publishing Corporation
摘要：A discrete predator-prey model with Holling-Tanner functional response is formulated and studied. The existence of the positive equilibrium and its stability are investigated. More attention is paid to the existence of a flip bifurcation and a Neimark-Sacker bifurcation. Sufficient conditions for those bifurcations have been obtained. Numerical simulations are conducted to demonstrate our theoretical results and the complexity of the model.
关键词：discrete Holling-Tanner model ; flip bifurcation ; Neimark-Sacker bifurcation ; stability