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Propagation thresholds in a diffusive epidemic model with latency and vaccination
This paper studies the propagation thresholds in a diffusive epidemic model with latency and vaccination. When the initial condition satisfies proper exponential decaying behavior, we present the spatial expansion feature of the infected. Different leftward and rightward spreading speeds are obtaine...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9916511/ https://www.ncbi.nlm.nih.gov/pubmed/36816349 http://dx.doi.org/10.1007/s00033-022-01935-1 |
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author | Wang, Yahui Wang, Xinjian Lin, Guo |
author_facet | Wang, Yahui Wang, Xinjian Lin, Guo |
author_sort | Wang, Yahui |
collection | PubMed |
description | This paper studies the propagation thresholds in a diffusive epidemic model with latency and vaccination. When the initial condition satisfies proper exponential decaying behavior, we present the spatial expansion feature of the infected. Different leftward and rightward spreading speeds are obtained with respect to different decaying initial values. Moreover, the convergence in the sense of compact open topology is also studied when the spreading speeds are finite. Finally, we show that the minimal spreading speed is the minimal wave speed of traveling wave solutions, which also presents the precisely asymptotic behavior of traveling wave solutions for the infected branch at the disease-free side. Here, the asymptotic behavior plays an important role that distinguishes the minimal spreading speed from all possible spreading speeds. From the definition of possible spreading speeds, we may find some factors affecting the spatial expansion ability, which includes that the vaccination could decrease the spatial expansion ability of the disease. |
format | Online Article Text |
id | pubmed-9916511 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-99165112023-02-13 Propagation thresholds in a diffusive epidemic model with latency and vaccination Wang, Yahui Wang, Xinjian Lin, Guo Z Angew Math Phys Article This paper studies the propagation thresholds in a diffusive epidemic model with latency and vaccination. When the initial condition satisfies proper exponential decaying behavior, we present the spatial expansion feature of the infected. Different leftward and rightward spreading speeds are obtained with respect to different decaying initial values. Moreover, the convergence in the sense of compact open topology is also studied when the spreading speeds are finite. Finally, we show that the minimal spreading speed is the minimal wave speed of traveling wave solutions, which also presents the precisely asymptotic behavior of traveling wave solutions for the infected branch at the disease-free side. Here, the asymptotic behavior plays an important role that distinguishes the minimal spreading speed from all possible spreading speeds. From the definition of possible spreading speeds, we may find some factors affecting the spatial expansion ability, which includes that the vaccination could decrease the spatial expansion ability of the disease. Springer International Publishing 2023-02-10 2023 /pmc/articles/PMC9916511/ /pubmed/36816349 http://dx.doi.org/10.1007/s00033-022-01935-1 Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. 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 Wang, Yahui Wang, Xinjian Lin, Guo Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title | Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title_full | Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title_fullStr | Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title_full_unstemmed | Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title_short | Propagation thresholds in a diffusive epidemic model with latency and vaccination |
title_sort | propagation thresholds in a diffusive epidemic model with latency and vaccination |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9916511/ https://www.ncbi.nlm.nih.gov/pubmed/36816349 http://dx.doi.org/10.1007/s00033-022-01935-1 |
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