Optimal control for a fractional order malaria transmission dynamics mathematical model

Optimal control for a fractional order malaria transmission dynamics mathematical model

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...

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Main Authors: N.H. Sweilam, S.M. AL–Mekhlafi, A.O. Albalawi
Format: Article
Language:English
Published: Elsevier 2020-06-01
Series:Alexandria Engineering Journal
Subjects:
37N25
49J15
26A33
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820301575
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spelling doaj-71754603dba04303948593633260f8c22021-06-02T11:10:27ZengElsevierAlexandria Engineering Journal1110-01682020-06-0159316771692Optimal control for a fractional order malaria transmission dynamics mathematical modelN.H. Sweilam0S.M. AL–Mekhlafi1A.O. Albalawi2Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt; Corresponding author.Department of Mathematics, Faculty of Education, Sana’a University, YemenDepartment of Mathematics, Faculty of Science, Shaqra University, Riyadh, Saudi ArabiaIn 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.http://www.sciencedirect.com/science/article/pii/S111001682030157537N2549J1526A33
collection DOAJ
language English
format Article
sources DOAJ
author N.H. Sweilam
S.M. AL–Mekhlafi
A.O. Albalawi
spellingShingle N.H. Sweilam
S.M. AL–Mekhlafi
A.O. Albalawi
Optimal control for a fractional order malaria transmission dynamics mathematical model
Alexandria Engineering Journal
37N25
49J15
26A33
author_facet N.H. Sweilam
S.M. AL–Mekhlafi
A.O. Albalawi
author_sort N.H. Sweilam
title Optimal control for a fractional order malaria transmission dynamics mathematical model
title_short Optimal control for a fractional order malaria transmission dynamics mathematical model
title_full Optimal control for a fractional order malaria transmission dynamics mathematical model
title_fullStr Optimal control for a fractional order malaria transmission dynamics mathematical model
title_full_unstemmed Optimal control for a fractional order malaria transmission dynamics mathematical model
title_sort optimal control for a fractional order malaria transmission dynamics mathematical model
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2020-06-01
description 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.
topic 37N25
49J15
26A33
url http://www.sciencedirect.com/science/article/pii/S1110016820301575
work_keys_str_mv AT nhsweilam optimalcontrolforafractionalordermalariatransmissiondynamicsmathematicalmodel
AT smalmekhlafi optimalcontrolforafractionalordermalariatransmissiondynamicsmathematicalmodel
AT aoalbalawi optimalcontrolforafractionalordermalariatransmissiondynamicsmathematicalmodel
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