[期刊论文] 李静 , 王在华, Hopf bifurcation of a nonlinear Lasota-Wazewska-type population model with maturation delay, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 2007, 14(5), 611- 623.

发布者：孙加亮发布时间：2020-05-07浏览次数：389

Hopf bifurcation of a nonlinear Lasota-Wazewska-type population model with maturation delay

Jing Li, Zaihua Wang

Abstract: In this paper, the stability and Hopf bifurcation analysis of a nonlinear LasotaWazewska-type population model with maturation delay are presented. It shows that the system may exhibit stability switches as the delay crosses the critical values of delay, where a Hopf bifurcation may occur. On the basis of the newly developed method of pseudoenergy that involves easy computation only, the local dynamics near a Hopf bifurcation is determined by that of the generated pseudo-vibration system. The numerical simulation is in very good agreement with the theoretical prediction.

Keywords: time delay, stability switches, Hopf bifurcation, pseudo-energy analysis

原文链接：http://online.watsci.org/abstract_pdf/2007v14/v14n5b-pdf/1.pdf

[期刊论文] 李 静 , 王在华, Hopf bifurcation of a nonlinear Lasota-Wazewska-type population model with maturation delay, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 2007, 14(5), 611- 623.

[期刊论文] 李静 , 王在华, Hopf bifurcation of a nonlinear Lasota-Wazewska-type population model with maturation delay, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 2007, 14(5), 611- 623.