Staged progression model for epidemic spread on homogeneous and heterogeneous networks

In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity...

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Detalles Bibliográficos
Autores principales: Zhang, Haifeng, Small, Michael, Fu, Xinchu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Academy of Mathematics and Systems Science, Chinese Academy of Sciences 2011
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7089252/
https://www.ncbi.nlm.nih.gov/pubmed/32214750
http://dx.doi.org/10.1007/s11424-011-8252-8
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author Zhang, Haifeng
Small, Michael
Fu, Xinchu
author_facet Zhang, Haifeng
Small, Michael
Fu, Xinchu
author_sort Zhang, Haifeng
collection PubMed
description In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity is a nonlinear function of the nodes’ degree is discussed, too. Finally, the analytical results are verified by numerical simulations.
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spelling pubmed-70892522020-03-23 Staged progression model for epidemic spread on homogeneous and heterogeneous networks Zhang, Haifeng Small, Michael Fu, Xinchu J Syst Sci Complex Article In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity is a nonlinear function of the nodes’ degree is discussed, too. Finally, the analytical results are verified by numerical simulations. Academy of Mathematics and Systems Science, Chinese Academy of Sciences 2011-06-11 2011 /pmc/articles/PMC7089252/ /pubmed/32214750 http://dx.doi.org/10.1007/s11424-011-8252-8 Text en © Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2011 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Zhang, Haifeng
Small, Michael
Fu, Xinchu
Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title_full Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title_fullStr Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title_full_unstemmed Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title_short Staged progression model for epidemic spread on homogeneous and heterogeneous networks
title_sort staged progression model for epidemic spread on homogeneous and heterogeneous networks
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7089252/
https://www.ncbi.nlm.nih.gov/pubmed/32214750
http://dx.doi.org/10.1007/s11424-011-8252-8
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