HOPF BIFURCATION FOR A SPATIALLY AND AGE STRUCTURED POPULATION DYNAMICS MODEL

被引：13
|
作者：
Liu, Zhihua [1 ]
Tang, Hui [1 ]
Magal, Pierre [2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Univ Bordeaux, IMB, UMR CNRS 5251, F-33076 Bordeaux, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 06期
关键词：
Hopf bifurcation; spatially and age/size structure; population dynamics; integrated semigroups; PERIODIC-SOLUTIONS; STABILITY; OSCILLATIONS; EQUATIONS; SIZE;
D O I：
10.3934/dcdsb.2015.20.1735
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of a spatially and age structured population dynamics model. We study the stability and Hopf bifurcation of the positive equilibrium of the model by using a bifurcation theory in the context of integrated semigroups. This problem is a first example for Hopf bifurcation for a spatially and age/size structured population dynamics model. Bifurcation analysis indicates that Hopf bifurcation occurs at a positive age/size dependent steady state of the model. The results are confirmed by some numerical simulations.
引用
收藏
页码：1735 / 1757
页数：23
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