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Systems Of Nonlinear Delay Integral Equations: Positive Solutions, Comparison Theorems, And Data Dependence

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ibtehal Alazman & Mohamed Jleli & Bessem Samet, 2022. "Systems Of Nonlinear Delay Integral Equations: Positive Solutions, Comparison Theorems, And Data Dependence," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-8, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402502
    DOI: 10.1142/S0218348X22402502
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