WANG Shu-zhong, LIU Xiao-yu, LI Dong-mei. Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period[J]. 2010, 15(2): 71-75.
WANG Shu-zhong, LIU Xiao-yu, LI Dong-mei. Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period[J]. 2010, 15(2): 71-75.DOI:
一类潜伏期和染病期均有传染力的SEIR模型的稳定性分析
摘要
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SEIR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.
Abstract
In this paper
considering an SEIR epidemic model with a general contact rate and have infectious force in latent period and infected period
the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified
we obtain the threshold of the disease popularity.This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.