研究具有垂直传播和感染期的乙肝病毒感染模型,考虑了发生率函数为非线性时模型的性质,以乙肝的平均感染期作为时滞,利用Routh-Hurwite判别法得到了系统的疾病消失的平衡点局部渐近稳定的条件,找到了基本再生数R0,通过构造Lyapunov函数,证明了地方病平衡点的全局渐近稳定性.
Hepatitis B virus infection model with vertical transmission and infection period were studied.By consider the epidemic models with nonlinear incidence rate,making infection period as time delay,and making use of Routh-Hurwite criterion to prove that condition of disease-free equilibrium is local asymptotic stability,we obtained a basic reproductive number R0 and proved the global asymptotic stability of endemic equilibrium by using the Lyapunov functional method.
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