Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays

Shanshan Chen; Junjie Wei

doi:10.1142/S0218127415501072

Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays

Shanshan Chen
, Junjie Wei

Harbin Institute of Technology Weihai

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

9 Scopus citations

Abstract

A diffusive logistic population model with multiple delays and Dirichlet boundary condition is considered in this paper. The stability/instability of the positive equilibrium and delay induced Hopf bifurcation are investigated. Moreover, we show which kind of delay could actually affect the dynamics.

Original language	English
Article number	1550107
Journal	International Journal of Bifurcation and Chaos
Volume	25
Issue number	8
DOIs	https://doi.org/10.1142/S0218127415501072
State	Published - 5 Jul 2015
Externally published	Yes

Keywords

Hopf bifurcation
Reaction-diffusion equation
multiple delays
stability

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title = "Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays",

abstract = "A diffusive logistic population model with multiple delays and Dirichlet boundary condition is considered in this paper. The stability/instability of the positive equilibrium and delay induced Hopf bifurcation are investigated. Moreover, we show which kind of delay could actually affect the dynamics.",

keywords = "Hopf bifurcation, Reaction-diffusion equation, multiple delays, stability",

author = "Shanshan Chen and Junjie Wei",

note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",

year = "2015",

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T1 - Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays

AU - Chen, Shanshan

AU - Wei, Junjie

PY - 2015/7/5

Y1 - 2015/7/5

N2 - A diffusive logistic population model with multiple delays and Dirichlet boundary condition is considered in this paper. The stability/instability of the positive equilibrium and delay induced Hopf bifurcation are investigated. Moreover, we show which kind of delay could actually affect the dynamics.

AB - A diffusive logistic population model with multiple delays and Dirichlet boundary condition is considered in this paper. The stability/instability of the positive equilibrium and delay induced Hopf bifurcation are investigated. Moreover, we show which kind of delay could actually affect the dynamics.

KW - Hopf bifurcation

KW - Reaction-diffusion equation

KW - multiple delays

KW - stability

UR - https://www.scopus.com/pages/publications/84938651743

U2 - 10.1142/S0218127415501072

DO - 10.1142/S0218127415501072

M3 - 文章

AN - SCOPUS:84938651743

SN - 0218-1274

VL - 25

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 8

M1 - 1550107

ER -

Stability and Bifurcation in a Diffusive Logistic Population Model with Multiple Delays

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Keywords

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