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Research Article | Open Access

A nonlinear delay integral equation related to infectious diseases

Munirah Aali Alotaibi1, Bessem Samet2( )
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

A class of nonlinear integral equations with delay, related to infectious diseases, is studied. Making use of some tools from operators theory, we deal with the well-posedness in an adequate functional space, approximation of solution, estimates of lower/upper solutions and the data dependence of solutions.

Keywords

nonlinear delay integral equationexistence/uniquenessapproximationlower/upper solutionsdata dependence

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Electronic Research Archive
Volume 31 Issue 12,
December 2023
Pages 7337-7348
DOI: 10.3934/era.2023371

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Cite this article:
Alotaibi MA, Samet B. A nonlinear delay integral equation related to infectious diseases. Electronic Research Archive, 2023, 31(12): 7337-7348. https://doi.org/10.3934/era.2023371

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Received: 23 July 2023
Revised: 15 October 2023
Accepted: 07 November 2023
Published: 15 December 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)