Bifurcation Analysis for a Stage-Structured and Delayed Predator-Prey Model

被引：0
|
作者：
Feng, Guanghui [1 ]
Wang, Lingshu [2 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang, Peoples R China
[2] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang, Peoples R China
来源：
PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1 | 2011年
基金：
中国国家自然科学基金;
关键词：
predator-prey model; stage structure; time delay; stability; Hopf b ifurcation; STABILITY; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stage-structured predator-prey model with Holling type-ll functional response and time delay due to the gestation of the predator is investigated. The local stability of a positive equilibrium is investigated and the existence of Hopf bifurcations is established. By using the normal form theory and center manifold theorem, formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions.
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页码：38 / 41
页数：4
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