Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal

This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques, which generalize the results of nonlocal SIRH models without relapse and delay. In...

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Detalles Bibliográficos
Autores principales: Yang, Lu, Yang, Yun-Rui, Song, Xue
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Singapore 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8811343/
https://www.ncbi.nlm.nih.gov/pubmed/35132292
http://dx.doi.org/10.1007/s10473-022-0218-5
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author Yang, Lu
Yang, Yun-Rui
Song, Xue
author_facet Yang, Lu
Yang, Yun-Rui
Song, Xue
author_sort Yang, Lu
collection PubMed
description This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques, which generalize the results of nonlocal SIRH models without relapse and delay. In particular, the difficulty of obtaining the asymptotic behavior of traveling waves for the appearance of spatio-temporal delay is overcome by the use of integral techniques and analysis techniques. Finally, the more general nonexistence result of traveling waves is also included. ELECTRONIC SUPPLEMENTARY MATERIAL: Supplementary material is available in the online version of this article at 10.1007/s10473-022-0218-5
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spelling pubmed-88113432022-02-03 Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal Yang, Lu Yang, Yun-Rui Song, Xue Acta Math Sci Article This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques, which generalize the results of nonlocal SIRH models without relapse and delay. In particular, the difficulty of obtaining the asymptotic behavior of traveling waves for the appearance of spatio-temporal delay is overcome by the use of integral techniques and analysis techniques. Finally, the more general nonexistence result of traveling waves is also included. ELECTRONIC SUPPLEMENTARY MATERIAL: Supplementary material is available in the online version of this article at 10.1007/s10473-022-0218-5 Springer Singapore 2022-02-03 2022 /pmc/articles/PMC8811343/ /pubmed/35132292 http://dx.doi.org/10.1007/s10473-022-0218-5 Text en © Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences 2022 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
Yang, Lu
Yang, Yun-Rui
Song, Xue
Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title_full Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title_fullStr Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title_full_unstemmed Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title_short Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
title_sort traveling waves in a sirh model with spatio-temporal delay and nonlocal dispersal
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8811343/
https://www.ncbi.nlm.nih.gov/pubmed/35132292
http://dx.doi.org/10.1007/s10473-022-0218-5
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AT yangyunrui travelingwavesinasirhmodelwithspatiotemporaldelayandnonlocaldispersal
AT songxue travelingwavesinasirhmodelwithspatiotemporaldelayandnonlocaldispersal

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