Bogdanov-Takens bifurcation in a predator-prey model with age structure

被引：4
|
作者：
Liu, Zhihua [1 ]
Magal, Pierre [2 ,3 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France
[3] CNRS, IMB, UMR 5251, F-33400 Talence, France
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Non-densely defined Cauchy problems; Normal form; Bogdanov– Takens bifurcation; Homoclinic orbit; Hopf bifurcation; Predator– prey model; Age structure; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NORMAL FORMS; HOPF-BIFURCATION; SYSTEM;
D O I：
10.1007/s00033-020-01434-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The results obtained in this article aim at analyzing Bogdanov-Takens bifurcation in a predator-prey model with an age structure for the predator. Firstly, we give the existence result of the Bogdanov-Takens singularity. Then we describe the bifurcation behavior of the parameterized predator-prey model with Bogdanov-Takens singularity.
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页数：24
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