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.

引用

页码：4891 / 4921

页数：31

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