一类含潜伏期且总人口在变化的SEIRI传染病模型的全局稳定性

Stability of an SEIRI Epidemic Model with Latent period and a Varying Total Population Size

本文讨论了一类含潜伏期,染病者有病死且有双线性接触率的SEIRI传染病模型.给出了基本再生数R0的表达式.如果R0≤1则疾病消除平衡点是全局稳定的;如果α=0,R0>1则存在唯一的地方病平衡点,且是全局渐近稳定的.

In this paper, an SEIRI epidemic model that incorporates a latent period, excess death of the infected and a bilinear contact rate is eonsiderd. The basic reproduction numberis Ro identified. IfR0≤ 1, the disease-free equilibrium is globally stable and the disease always dies out; ifα = 0, R0 〉 1 a unique endemic equilibrium is globally asymptotically stahlae.