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

LIU Xiao-yu; LI Dong-mei; WANG Hui

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

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- Stability Analysis of an Epidemic Model with Inflectious Force in Latent Period and Inflected Period
- Vol. 14, Issue 6, Pages: 77-80(2009)
- 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：2009
- 稿件说明：
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LIU Xiao-yu, LI Dong-mei, WANG Hui. Stability Analysis of an Epidemic Model with Inflectious Force in Latent Period and Inflected Period[J]. 2009, 14(6): 77-80.
DOI：

LIU Xiao-yu, LI Dong-mei, WANG Hui. Stability Analysis of an Epidemic Model with Inflectious Force in Latent Period and Inflected Period[J]. 2009, 14(6): 77-80. 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.

Abstract

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.

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Related Author

WANG Shu-zhong

ZHENG Zhong-tao

LIU Wei-hua

LI Dong-mei

GUO Xiu-wei

LI Dong-mei

WANG Hui

XU Ya-jing

Related Institution

School of Applied Sciences, Harbin University of Science and Technology

School of Applied Science

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Department of Information Engineering，Heilongjiang International University

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