Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
Abstract
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivatives. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of solution using the Banach fixed point theorem are studied. A detailed analysis of the stability of the special solution is presented. Finally, our generalized model in the ABC derivative sense is solved numerically by the Adams-Bashforth-Moulton method.
Keywords
Cite
@article{arxiv.2108.08673,
title = {Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law},
author = {Moulay Rchid Sidi Ammi and Mostafa Tahiri and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2108.08673},
year = {2021}
}
Comments
This is a preprint of a Research Article published at [https://doi.org/10.31559/glm2021.10.2.7]. Cite this paper as: M. R. Sidi Ammi, M. Tahiri and D. F. M. Torres, Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law, Gen. Lett. Math. 10 (2021), no. 2, 61--71