Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period

WANG Shu-zhong; LIU Xiao-yu; LI Dong-mei

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Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period

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- Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period
- Vol. 15, Issue 2, Pages: 71-75(2010)
- 作者机构：
  
  1. 哈尔滨理工大学应用科学学院
  2. 哈尔滨金融高等专科学校
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.1
- Published：2010
- 稿件说明：
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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：

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：

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.

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Related Institution

School of Applied Sciences, Harbin University of Science and Technology

School of Applied Science

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