A nonlinear delay integral equation related to infectious diseases

Munirah Aali Alotaibi; Bessem Samet; Munirah Aali Alotaibi; Bessem Samet

doi:10.3934/era.2023371

Electronic Research Archive

2023, Volume 31, Issue 12: 7337-7348. doi: 10.3934/era.2023371

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A nonlinear delay integral equation related to infectious diseases

Munirah Aali Alotaibi ¹,
Bessem Samet ^{2
,
,}

1.
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2.
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received: 23 July 2023 Revised: 15 October 2023 Accepted: 07 November 2023 Published: 14 November 2023

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.
- nonlinear delay integral equation,
- existence/uniqueness,
- approximation,
- lower/upper solutions,
- data dependence
Citation: Munirah Aali Alotaibi, Bessem Samet. A nonlinear delay integral equation related to infectious diseases[J]. Electronic Research Archive, 2023, 31(12): 7337-7348. doi: 10.3934/era.2023371

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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.

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