Effect of the community structure on the basic reproduction number of an SIR model

Effect of the community structure on the basic reproduction number of an SIR model

This paper focuses on the effect of the community structure on the basic reproduction number.By disconnection and reconnection of the edges,a random configuration network evolves into a series of networks with the same total degree distribution and different community structures.Furthermore,we deriv...

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Main Authors: LI Jinxian, LIU Yanan
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2019-04-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
susceptible-infectious-recovered (SIR) epidemic disease;basic reproduction number;networks;degree distribution;community structure
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190202
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spelling doaj-6e208714720f476c91087efd34d2686a2020-11-25T02:14:20ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372019-04-0148212012810.3969/J.ISSN.1000-5137.2019.02.002201902000002Effect of the community structure on the basic reproduction number of an SIR modelLI Jinxian0LIU Yanan1School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, ChinaThis paper focuses on the effect of the community structure on the basic reproduction number.By disconnection and reconnection of the edges,a random configuration network evolves into a series of networks with the same total degree distribution and different community structures.Furthermore,we derive the basic reproduction numbers of a susceptible-infectious-recovered (SIR) model in these networks,and we find that it is not changed in the whole process.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190202susceptible-infectious-recovered (SIR) epidemic disease;basic reproduction number;networks;degree distribution;community structure
collection DOAJ
language English
format Article
sources DOAJ
author LI Jinxian
LIU Yanan
spellingShingle LI Jinxian
LIU Yanan
Effect of the community structure on the basic reproduction number of an SIR model
Journal of Shanghai Normal University (Natural Sciences)
susceptible-infectious-recovered (SIR) epidemic disease;basic reproduction number;networks;degree distribution;community structure
author_facet LI Jinxian
LIU Yanan
author_sort LI Jinxian
title Effect of the community structure on the basic reproduction number of an SIR model
title_short Effect of the community structure on the basic reproduction number of an SIR model
title_full Effect of the community structure on the basic reproduction number of an SIR model
title_fullStr Effect of the community structure on the basic reproduction number of an SIR model
title_full_unstemmed Effect of the community structure on the basic reproduction number of an SIR model
title_sort effect of the community structure on the basic reproduction number of an sir model
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2019-04-01
description This paper focuses on the effect of the community structure on the basic reproduction number.By disconnection and reconnection of the edges,a random configuration network evolves into a series of networks with the same total degree distribution and different community structures.Furthermore,we derive the basic reproduction numbers of a susceptible-infectious-recovered (SIR) model in these networks,and we find that it is not changed in the whole process.
topic susceptible-infectious-recovered (SIR) epidemic disease;basic reproduction number;networks;degree distribution;community structure
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190202
work_keys_str_mv AT lijinxian effectofthecommunitystructureonthebasicreproductionnumberofansirmodel
AT liuyanan effectofthecommunitystructureonthebasicreproductionnumberofansirmodel
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