Hopf bifurcation in an age-dependent population model with delayed birth process

Ping Bi; Xianlong Fu

doi:10.1142/S0218127412501465

Hopf bifurcation in an age-dependent population model with delayed birth process

Ping Bi
, Xianlong Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper is devoted to the study of an age-dependent population system with Riker type birth function. The time lag factor is considered for the birth process. We investigate some dynamical properties of the equation by using C₀-semigroup theory, through which we obtain some conditions of asymptotical stability and Hopf bifurcation occurring at positive steady state for the system.

Original language	English
Article number	1250146
Journal	International Journal of Bifurcation and Chaos
Volume	22
Issue number	6
DOIs	https://doi.org/10.1142/S0218127412501465
State	Published - Jun 2012

Keywords

Hopf bifurcation
Population system
asymptotical stability

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abstract = "This paper is devoted to the study of an age-dependent population system with Riker type birth function. The time lag factor is considered for the birth process. We investigate some dynamical properties of the equation by using C0-semigroup theory, through which we obtain some conditions of asymptotical stability and Hopf bifurcation occurring at positive steady state for the system.",

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AU - Bi, Ping

AU - Fu, Xianlong

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AB - This paper is devoted to the study of an age-dependent population system with Riker type birth function. The time lag factor is considered for the birth process. We investigate some dynamical properties of the equation by using C0-semigroup theory, through which we obtain some conditions of asymptotical stability and Hopf bifurcation occurring at positive steady state for the system.

KW - Hopf bifurcation

KW - Population system

KW - asymptotical stability

UR - https://www.scopus.com/pages/publications/84863850656

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DO - 10.1142/S0218127412501465

M3 - 文章

AN - SCOPUS:84863850656

SN - 0218-1274

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

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M1 - 1250146

ER -

Hopf bifurcation in an age-dependent population model with delayed birth process

Abstract

Keywords

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