Bogdanov-Takens Bifurcation for a Predator-Prey System with Holling Type IV Function

被引：0
|
作者：
Wang, Jinling [1 ]
Liang, Jinling [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2016年
关键词：
DIFFERENTIAL EQUATIONS; MULTIPLE BIFURCATIONS; HOPF BIFURCATIONS; NORMAL FORMS; DELAY; MODEL;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers the dynamics of a delayed predator-prey system with generalized Holling type IV functional response. The conditions are presented under which the unique positive equilibrium of this system is a Bogdanov-Takens (B-T) singularity. By using the normal form theory and the center manifold reduction theorem, the normal form is obtained for the B-T singularity. Finally, numerical simulations are given to illustrate the theoretical results derived.
引用
收藏
页码：950 / 955
页数：6
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