SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS: POSITIVE SOLUTIONS, COMPARISON THEOREMS, AND DATA DEPENDENCE

Ibtehal Alazman, Mohamed Jleli and Bessem Samet
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Ibtehal Alazman: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia
Mohamed Jleli: Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Bessem Samet: Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-8

Abstract: In this paper, a system of nonlinear delay integral equations related to the spread of certain infectious diseases is investigated. Namely, using Perov’s fixed-point theorem, we obtain sufficient conditions for which the system admits a unique positive solution, and provide a numerical algorithm that converges to this solution. Moreover, we establish some comparison theorems, and study the data dependence of solutions.

Keywords: System of Delay Integral Equations; Positive Solution; Data Dependence (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402502

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