摘要
研究了具有时滞和非线性发生率的乙肝病毒模型的稳定性及Hopf分支问题.利用微分不等式技巧,讨论了系统解的正性和有界性.利用泛函微分方程的稳定性理论,通过分析模型在平衡点处超越特征方程根的分布情况,讨论了时滞对平衡点稳定性的影响.研究结果表明:时滞不影响无病平衡点的稳定性;时滞会诱发地方病平衡点的稳定性,并且在其附近产生小振幅的周期解.
The Hopf bifurcation for a hepatitis B virus model with time delay and nonlinear incidence were investigated.The positivity and boundedness of system were considered with the help of differenti-al inequalities.And then based on the stability theory of functional differential equations,the effect of time delay on the stability of equilibria was obtained by analyzing the corresponding transcendental char-acteristic equations.Finally,it draws the conclusions that time delay has no effect on the stability of vi-rus-free equilibrium and may induce the stability of endemic equilibrium,moreover,small-amplitude pe-riodic solutions bifurcate from the positive equilibrium.
出处
《中北大学学报（自然科学版）》
CAS
北大核心
2015年第2期122-125,共4页
Journal of North University of China(Natural Science Edition)
基金
安徽省自然科学(青年)基金项目(1208085QA11)
安徽省高校省级自然科学研究项目(KJ2012A001
KJ2013B003)
关键词
时滞
乙肝病毒
HOPF
分支
稳定性
time delay
hepatitis B virus
Hopf bifurcation
stability
