A Class of SEIR Epidemic Model with Nonlinear Contact Rate

LI Doug-mei; XU Ya-jing; HAN Chun-jing

doi:10.15938/j.jhust.2015.02.022

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A Class of SEIR Epidemic Model with Nonlinear Contact Rate

更新时间：2026-08-31

- A Class of SEIR Epidemic Model with Nonlinear Contact Rate
- Vol. 20, Issue 2, Pages: 115-120(2015)
- 作者机构：
  
  哈尔滨理工大学应用科学学院,黑龙江,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2015.02.022
  CLC： 0175
- Published：2015
- 稿件说明：
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LI Doug-mei, XU Ya-jing, HAN Chun-jing. A Class of SEIR Epidemic Model with Nonlinear Contact Rate[J]. 2015, 20(2): 115-120.
DOI：

LI Doug-mei, XU Ya-jing, HAN Chun-jing. A Class of SEIR Epidemic Model with Nonlinear Contact Rate[J]. 2015, 20(2): 115-120. DOI： 10.15938/j.jhust.2015.02.022.

摘要

考虑了染病者的非线性接触率及潜伏者存在因素的影响，建立了一类SEIR传染病模型.利用Lasalle不变性原理，自治收敛定理证明了无病平衡点及地方病平衡点的全局渐近稳定性给出了模型分支存在充分条件.并通过数值模拟验证了结论的正确性.

Abstract

Considering the infection of the nonlinear contact rate and latent period，a class of SEIR epidemicmodel is studied. Using the theory of Lasalle and autonomous convergence theorem，the global stability of the disease一free equilibrium and the endemic equilibriumare proved.talne(1，and the accuracy of the model’s conclusionproved byThe sufficient conditions of bifurcation are ob-numerical simulation.

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Related Institution

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