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

页码：1735 / 1757

页数：23

共 50 条

[31] Zero-Hopf bifurcation for an infection-age structured epidemic model with a nonlinear incidence rate
LIU ZhiHua
YUAN Rong
Science China(Mathematics), 2017, 60 (08) : 1371 - 1398
[32] Hopf bifurcation in an age-structured prey-predator model with Holling III response function
Wang, Lijun
Dai, Chuanjun
Zhao, Min
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (04) : 3144 - 3159
[33] Zero-Hopf bifurcation for an infection-age structured epidemic model with a nonlinear incidence rate
ZhiHua Liu
Rong Yuan
Science China Mathematics, 2017, 60 : 1371 - 1398
[34] Hopf Bifurcation of an Age-Structured Hand-Foot-Mouth Disease Model in a Contaminated Environment
Tang, Yiming
Lian, Hairong
Jing, Shiwen
Ma, Zhaohai
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (16):
[35] Zero-Hopf bifurcation for an infection-age structured epidemic model with a nonlinear incidence rate
Liu, ZhiHua
Yuan, Rong
SCIENCE CHINA-MATHEMATICS, 2017, 60 (08) : 1371 - 1398
[36] Hopf bifurcation of an age-structured HIV infection model with logistic target-cell growth
Guo, Zhong-Kai
Huo, Hai-Feng
Xiang, Hong
JOURNAL OF BIOLOGICAL DYNAMICS, 2019, 13 (01) : 362 - 384
[37] An age structured population model in a spatially heterogeneous environment: Existence and uniqueness theory
Deng, QP
Hallam, TG
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (02) : 379 - 394
[38] Dynamics and Hopf Bifurcation of a Chaotic Chemical Reaction Model
Din, Qamar
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2022, 88 (02) : 351 - 369
[39] Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait
Nordmann, Samuel
Perthame, Benoit
Taing, Cecile
ACTA APPLICANDAE MATHEMATICAE, 2018, 155 (01) : 197 - 225
[40] An age-structured population balance model for microbial dynamics
Duarte, MVE
Medeiros, JL
Araújo, OQF
Coelho, MAZ
BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING, 2003, 20 (01) : 1 - 6

← 1 2 3 4 5 →