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复杂网络上带直接免疫及传染媒介的S IRS模型

万青松 龚明

计算机应用与软件Issue(9):276-278,293,4.
计算机应用与软件Issue(9):276-278,293,4.DOI:10.3969/j.issn.1000-386x.2014.09.069

复杂网络上带直接免疫及传染媒介的S IRS模型

AN SIRS MODEL WITH DIRECT IMMUNISATION AND INFECTIVE MEDIUM ON COMPLEX NETWORKS

万青松 1龚明2

作者信息

  • 1. 九江职业技术学院信息工程系 江西 九江332007
  • 2. 华中科技大学计算机学院 湖北 武汉430074
  • 折叠

摘要

Abstract

When simulating practical system with complex networks,it usually uses the infection models with either direct immunisation orinfective medium.These models only focus on the factor of certain aspect in the practical system.Aiming at this insufficiency,the paper pro-poses a novel SIRS (susceptible infected removed susceptible)epidemic model,i.e.an SIRS model with infective medium and direct im-munisation.By using mean-field theory,we establish a corresponding ordinary differential equation system,and discuss the transmission dy-namics behaviour of the system.Research results show that there is a limited transmission threshold in the model under the condition of uni-form networks,and the infective medium can also accelerate the disease spread,and the transmission threshold of the model in non-uniformnetworks is mainly related to the topology of the networks.

关键词

复杂网络/SIRS模型/传染媒介/直接免疫/传播阈值

Key words

Complex networks/SIRS model/Infective medium/Direct immunisation/Transmission threshold

分类

数理科学

引用本文复制引用

万青松,龚明..复杂网络上带直接免疫及传染媒介的S IRS模型[J].计算机应用与软件,2014,(9):276-278,293,4.

基金项目

国家自然科学基金项目 ()

计算机应用与软件

OACSCDCSTPCD

1000-386X

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