HOPF BIFURCATION FOR A SIZE-STRUCTURED MODEL WITH RESTING PHASE

被引：8
|
作者：
Chu, Jixun [1 ]
Magal, Pierre [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China
[2] Univ Bordeaux Segalen, Inst Math Bordeaux, CNRS, UMR 5251, F-33076 Bordeaux, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 11-12期
基金：
欧洲研究理事会;
关键词：
Hopf bifurcation; size structure; integrated semigroups; ASYNCHRONOUS EXPONENTIAL-GROWTH; POPULATION-MODEL; NONLINEAR EQUATIONS; PERIODIC-SOLUTIONS; AGE-STRUCTURE; STABILITY; DYNAMICS; OSCILLATIONS; INSTABILITY;
D O I：
10.3934/dcds.2013.33.4891
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article investigates Hopf bifurcation for a size-structured population dynamic model that is designed to describe size dispersion among individuals in a given population. This model has a nonlinear and nonlocal boundary condition. We reformulate the problem as an abstract non-densely defined Cauchy problem, and study it in the frame work of integrated semi-group theory. We prove a Hopf bifurcation theorem and we present some numerical simulations to support our analysis.
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页码：4891 / 4921
页数：31
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