考虑疫苗时效及潜伏期的乙肝传染病模型分析

建立了一个考虑疫苗时效性和乙肝潜伏期的乙肝传染病模型.首先,讨论了平衡点的存在性;然后,计算了基本再生数R_0,得到系统总存在一个无病平衡点,且当R_01时,存在唯一正平衡点;最后通过构造Lyapunov泛函,证明了无病平衡点的全局稳定性和正平衡点的全局稳定性.

Analysis of an HBV Transmission Model with Vaccinal Effectiveness and Latency

In this paper, an epidemic model of HBV considering the effects of vaccinal effectiveness and latency is established. First, the existence of equilibria is discussed. Then, the basic reproduction number R0 is computed, and we obtain that in the system still exists a virus-free equilibrium, and there is a unique endemic equilibrium when R0 > 1. Finally, we prove the global stabilities of the virus-free equilibrium and the endemic equilibrium by constructing Lyapunov functions.