一类潜伏期和染病期均有传染力的流行病模型稳定性分析

Stability Analysis of an Epidemic Model with Inflectious Force in Latent Period and Inflected Period

研究了具有一般形式的接触率潜伏期和染病期均有传染力的SEI模型,给出了无病平衡点和地方病平衡点存在的条件,得到了疾病流行的阈值.证明了无病平衡点和地方病平衡点是全局渐近稳定的.

In this paper, we consider an SEI epidemic model with a general contact rate and have inflectious force in latent period and infectied period, the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified, obtain the threshold of the disease popularity. This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.