Optimal control for a fractional order malaria transmission dynamics mathematical model

N.H. Sweilam; S.M. AL–Mekhlafi; A.O. Albalawi

doi:10.1016/j.aej.2020.04.020

Alexandria Engineering Journal (Jun 2020)

Optimal control for a fractional order malaria transmission dynamics mathematical model

N.H. Sweilam,
S.M. AL–Mekhlafi,
A.O. Albalawi

Affiliations

N.H. Sweilam: Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt; Corresponding author.
S.M. AL–Mekhlafi: Department of Mathematics, Faculty of Education, Sana’a University, Yemen
A.O. Albalawi: Department of Mathematics, Faculty of Science, Shaqra University, Riyadh, Saudi Arabia

DOI: https://doi.org/10.1016/j.aej.2020.04.020
Journal volume & issue: Vol. 59, no. 3
pp. 1677 – 1692

Abstract

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In this work, optimal control for fractional order model of malaria transmission dynamics with modified parameters is presented. The fractional derivative is defined in the Atangana-Beleanu sense. Two control variables are presented in this model to minimize the number of the population of low-risk infectious humans and high-risk infectious humans. Necessary conditions for the control problem are drived. Two types of nonstandard finite difference method for simulating the proposed optimal system with Mittag-Leffler kernels are presented. In order to validate the theoretical results numerical simulations and comparative studies are given.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: https://www.sciencedirect.com/journal/alexandria-engineering-journal

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