A spatial epidemic model with a moving boundary

We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time. The moving boundary of the domain represents the wavefront of the epidemi...

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Detalles Bibliográficos
Autores principales: Zhuang, Qiao, Wang, Jin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: KeAi Publishing 2021
Materias:
Original Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8427267/
https://www.ncbi.nlm.nih.gov/pubmed/34541423
http://dx.doi.org/10.1016/j.idm.2021.08.005
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author Zhuang, Qiao
Wang, Jin
author_facet Zhuang, Qiao
Wang, Jin
author_sort Zhuang, Qiao
collection PubMed
description We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time. The moving boundary of the domain represents the wavefront of the epidemic. We conduct an equilibrium analysis to the simplified models represented by ODE systems. We also perform a numerical study on the original PDE system for a range of scenarios, including one under a realistic epidemic setting.
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spelling pubmed-84272672021-09-17 A spatial epidemic model with a moving boundary Zhuang, Qiao Wang, Jin Infect Dis Model Original Research Article We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time. The moving boundary of the domain represents the wavefront of the epidemic. We conduct an equilibrium analysis to the simplified models represented by ODE systems. We also perform a numerical study on the original PDE system for a range of scenarios, including one under a realistic epidemic setting. KeAi Publishing 2021-09-03 /pmc/articles/PMC8427267/ /pubmed/34541423 http://dx.doi.org/10.1016/j.idm.2021.08.005 Text en © 2021 The Authors https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Original Research Article
Zhuang, Qiao
Wang, Jin
A spatial epidemic model with a moving boundary
title A spatial epidemic model with a moving boundary
title_full A spatial epidemic model with a moving boundary
title_fullStr A spatial epidemic model with a moving boundary
title_full_unstemmed A spatial epidemic model with a moving boundary
title_short A spatial epidemic model with a moving boundary
title_sort spatial epidemic model with a moving boundary
topic Original Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8427267/
https://www.ncbi.nlm.nih.gov/pubmed/34541423
http://dx.doi.org/10.1016/j.idm.2021.08.005
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