The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()

To discuss the impact factors on the spread of infectious diseases, we study a free boundary problem describing a SIS (susceptible-infected-susceptible) model in a heterogeneous environment. Firstly, the existence and uniqueness of the global solution are given. Then the basic reproduction number re...

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Detalles Bibliográficos
Autores principales: Tong, Yachun, Ahn, Inkyung, Lin, Zhigui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: KeAi Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9576570/
https://www.ncbi.nlm.nih.gov/pubmed/36262268
http://dx.doi.org/10.1016/j.idm.2022.09.003
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author Tong, Yachun
Ahn, Inkyung
Lin, Zhigui
author_facet Tong, Yachun
Ahn, Inkyung
Lin, Zhigui
author_sort Tong, Yachun
collection PubMed
description To discuss the impact factors on the spread of infectious diseases, we study a free boundary problem describing a SIS (susceptible-infected-susceptible) model in a heterogeneous environment. Firstly, the existence and uniqueness of the global solution are given. Then the basic reproduction number related to time is defined, and a spreading-vanishing dichotomy of infectious diseases is obtained. The impacts of the diffusion rate of infected individuals, expanding capability, and the scope and scale of initial infection on the spreading and vanishing of infectious disease are analyzed. Numerical simulations are given to show that the large expanding capability is unfavorable to the prevention and control of the disease.
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spelling pubmed-95765702022-10-18 The impact factors of the risk index and diffusive dynamics of a SIS free boundary model() Tong, Yachun Ahn, Inkyung Lin, Zhigui Infect Dis Model Article To discuss the impact factors on the spread of infectious diseases, we study a free boundary problem describing a SIS (susceptible-infected-susceptible) model in a heterogeneous environment. Firstly, the existence and uniqueness of the global solution are given. Then the basic reproduction number related to time is defined, and a spreading-vanishing dichotomy of infectious diseases is obtained. The impacts of the diffusion rate of infected individuals, expanding capability, and the scope and scale of initial infection on the spreading and vanishing of infectious disease are analyzed. Numerical simulations are given to show that the large expanding capability is unfavorable to the prevention and control of the disease. KeAi Publishing 2022-09-27 /pmc/articles/PMC9576570/ /pubmed/36262268 http://dx.doi.org/10.1016/j.idm.2022.09.003 Text en © 2022 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 Article
Tong, Yachun
Ahn, Inkyung
Lin, Zhigui
The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title_full The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title_fullStr The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title_full_unstemmed The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title_short The impact factors of the risk index and diffusive dynamics of a SIS free boundary model()
title_sort impact factors of the risk index and diffusive dynamics of a sis free boundary model()
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9576570/
https://www.ncbi.nlm.nih.gov/pubmed/36262268
http://dx.doi.org/10.1016/j.idm.2022.09.003
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