A SHORT PROOF FOR HOPF BIFURCATION IN GURTIN-MACCAMY?S POPULATION DYNAMICS MODEL

被引：1
|
作者：
Ducrot, Arnaud [1 ]
Kang, Hao [1 ,2 ]
Magal, Pierre [3 ,4 ]
机构：
[1] Normandie Univ, UNIHAVRE, LMAH, FR CNRS 3335,ISCN, F-76600 Le Havre, France
[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
[3] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France
[4] CNRS, IMB, UMR 5251, F-33400 Talence, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 08期
关键词：
Age structure; population dynamics; Hopf bifurcation; PERIODIC-SOLUTIONS; EQUATIONS; STABILITY;
D O I：
10.1090/proc/15892
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide a short proof for the Hopf bifurcation theorem in the Gurtin-MacCamy's population dynamics model. Here we use the Crandall and Rabinowitz's approach, based on the implicit function theo-rem. Compared with previous methods, here we require the age-specific birth rate to be slightly smoother (roughly of bounded variation), but we have a huge gain for the length of the proof.
引用
收藏
页码：3561 / 3575
页数：15
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