A General Multipatch Model of Ebola Dynamics

A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried, as well as the dynamics of the pathogen at inte...

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Autor principal:	Rebaza Jorge
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	ebola virus global stability lyapunov functions viral infections 37b25 92d30 92d25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a75cee38af914d27ad1a57b186e3cedb
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id	oai:doaj.org-article:a75cee38af914d27ad1a57b186e3cedb
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spelling	oai:doaj.org-article:a75cee38af914d27ad1a57b186e3cedb2021-12-05T14:10:56ZA General Multipatch Model of Ebola Dynamics2353-062610.1515/msds-2020-0129https://doaj.org/article/a75cee38af914d27ad1a57b186e3cedb2021-04-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0129https://doaj.org/toc/2353-0626A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried, as well as the dynamics of the pathogen at interacting nodes or patches. Humans can move between patches carrying the disease to any patch in a region of n communities (patches). Both direct and indirect transmission are accounted for in this model. Matrix and graph-theoretic methods and some combinatorial identities are used to construct appropriate Lyapunov functions to establish global stability results for both the disease-free and the endemic equilibrium of the model. While the model is focused on Ebola, it can be adapted to the study of other disease epidemics, including COVID-19, currently affecting all countries in the world.Rebaza JorgeDe Gruyterarticleebola virusglobal stabilitylyapunov functionsviral infections37b2592d3092d25MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 125-135 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ebola virus global stability lyapunov functions viral infections 37b25 92d30 92d25 Mathematics QA1-939
spellingShingle	ebola virus global stability lyapunov functions viral infections 37b25 92d30 92d25 Mathematics QA1-939 Rebaza Jorge A General Multipatch Model of Ebola Dynamics
description	A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried, as well as the dynamics of the pathogen at interacting nodes or patches. Humans can move between patches carrying the disease to any patch in a region of n communities (patches). Both direct and indirect transmission are accounted for in this model. Matrix and graph-theoretic methods and some combinatorial identities are used to construct appropriate Lyapunov functions to establish global stability results for both the disease-free and the endemic equilibrium of the model. While the model is focused on Ebola, it can be adapted to the study of other disease epidemics, including COVID-19, currently affecting all countries in the world.
format	article
author	Rebaza Jorge
author_facet	Rebaza Jorge
author_sort	Rebaza Jorge
title	A General Multipatch Model of Ebola Dynamics
title_short	A General Multipatch Model of Ebola Dynamics
title_full	A General Multipatch Model of Ebola Dynamics
title_fullStr	A General Multipatch Model of Ebola Dynamics
title_full_unstemmed	A General Multipatch Model of Ebola Dynamics
title_sort	general multipatch model of ebola dynamics
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a75cee38af914d27ad1a57b186e3cedb
work_keys_str_mv	AT rebazajorge ageneralmultipatchmodelofeboladynamics AT rebazajorge generalmultipatchmodelofeboladynamics
_version_	1718371560672198656

A General Multipatch Model of Ebola Dynamics

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