摘要
研究一类具有吸收效应和胞内时滞的HBV感染动力学模型.通过构造适当的Lyapunov泛函证明了当基本再生数小于1时,未感染平衡点是全局渐近稳定的;当基本再生数大于1时,给出了病毒感染平衡点全局渐近稳定的充分条件.
In this paper,a hepatitis B virus infection model with absorption and an intracellular delay is investigated.By using suitable Lyapunov functionals and LaSalle's invariance principle,it is proved that if the basic reproductive ratio is less than unity,the infection-free equilibrium is globally asymptotically stable;if the basic reproductive ratio is greater than unity,sufficient conditions are obtained for the global stability of the virus-infected equilibrium.
出处
《生物数学学报》
2015年第1期47-53,共7页
Journal of Biomathematics
基金
supported by the National Natural Science Foundation of China(Nos.11371368,11071254)
the Natural Science Foundation of Hebei Province of China(No.A2014506015)
the Natural Science Foundation for Young Scientists of Hebei Province,China(No.A2013506012)
关键词
HBV感染
胞内时滞
吸收效应
全局稳定性
Hepatitis B virus infection
Intracellular delay
Absorption
Global stability
