Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed

This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveli...

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Autores principales:	Shiqiang Feng, Dapeng Gao
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	delayed sir model nonlocal dispersal nonlinear incidence minimal wave speed traveling waves Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/134e74a46c304621be02cf1db13f09c9
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spelling	oai:doaj.org-article:134e74a46c304621be02cf1db13f09c92021-11-29T06:03:22ZExistence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed10.3934/mbe.20214601551-0018https://doaj.org/article/134e74a46c304621be02cf1db13f09c92021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021460?viewType=HTMLhttps://doaj.org/toc/1551-0018This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveling waves. To this end, we construct an auxiliary system and show the existence of traveling waves for the auxiliary system. Employing the results for the auxiliary system, we obtain the existence of traveling waves for the delayed nonlocal dispersal SIR epidemic model with the critical wave speed under mild conditions.Shiqiang Feng Dapeng GaoAIMS Pressarticledelayed sir modelnonlocal dispersalnonlinear incidenceminimal wave speedtraveling wavesBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9357-9380 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	delayed sir model nonlocal dispersal nonlinear incidence minimal wave speed traveling waves Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	delayed sir model nonlocal dispersal nonlinear incidence minimal wave speed traveling waves Biotechnology TP248.13-248.65 Mathematics QA1-939 Shiqiang Feng Dapeng Gao Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
description	This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveling waves. To this end, we construct an auxiliary system and show the existence of traveling waves for the auxiliary system. Employing the results for the auxiliary system, we obtain the existence of traveling waves for the delayed nonlocal dispersal SIR epidemic model with the critical wave speed under mild conditions.
format	article
author	Shiqiang Feng Dapeng Gao
author_facet	Shiqiang Feng Dapeng Gao
author_sort	Shiqiang Feng
title	Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
title_short	Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
title_full	Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
title_fullStr	Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
title_full_unstemmed	Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
title_sort	existence of traveling wave solutions for a delayed nonlocal dispersal sir epidemic model with the critical wave speed
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/134e74a46c304621be02cf1db13f09c9
work_keys_str_mv	AT shiqiangfeng existenceoftravelingwavesolutionsforadelayednonlocaldispersalsirepidemicmodelwiththecriticalwavespeed AT dapenggao existenceoftravelingwavesolutionsforadelayednonlocaldispersalsirepidemicmodelwiththecriticalwavespeed
_version_	1718407570077515776

Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed

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