Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model

Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model

A system of integral equations related to an epidemic model is investigated. Namely, we derive sufficient conditions for the existence and uniqueness of global solutions to the considered system. The proof is based on Perov’s fixed point theorem and some integral inequalities.

Bibliographic Details
Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6625525
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spelling doaj-486f906f921d4d8ca1ef4797fdae02502020-12-14T09:46:37ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66255256625525Global Existence of Solutions to a System of Integral Equations Related to an Epidemic ModelMohamed Jleli0Bessem Samet1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaA system of integral equations related to an epidemic model is investigated. Namely, we derive sufficient conditions for the existence and uniqueness of global solutions to the considered system. The proof is based on Perov’s fixed point theorem and some integral inequalities.http://dx.doi.org/10.1155/2020/6625525
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Jleli
Bessem Samet
spellingShingle Mohamed Jleli
Bessem Samet
Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
Journal of Function Spaces
author_facet Mohamed Jleli
Bessem Samet
author_sort Mohamed Jleli
title Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
title_short Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
title_full Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
title_fullStr Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
title_full_unstemmed Global Existence of Solutions to a System of Integral Equations Related to an Epidemic Model
title_sort global existence of solutions to a system of integral equations related to an epidemic model
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description A system of integral equations related to an epidemic model is investigated. Namely, we derive sufficient conditions for the existence and uniqueness of global solutions to the considered system. The proof is based on Perov’s fixed point theorem and some integral inequalities.
url http://dx.doi.org/10.1155/2020/6625525
work_keys_str_mv AT mohamedjleli globalexistenceofsolutionstoasystemofintegralequationsrelatedtoanepidemicmodel
AT bessemsamet globalexistenceofsolutionstoasystemofintegralequationsrelatedtoanepidemicmodel
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