Fractional-Order Ebola-Malaria Coinfection Model with a Focus on Detection and Treatment Rate.


Journal

Computational and mathematical methods in medicine
ISSN: 1748-6718
Titre abrégé: Comput Math Methods Med
Pays: United States
ID NLM: 101277751

Informations de publication

Date de publication:
2022
Historique:
received: 17 05 2022
revised: 07 08 2022
accepted: 09 08 2022
entrez: 26 9 2022
pubmed: 27 9 2022
medline: 28 9 2022
Statut: epublish

Résumé

Coinfection of Ebola virus and malaria is widespread, particularly in impoverished areas where malaria is already ubiquitous. Epidemics of Ebola virus disease arise on a sporadic basis in African nations with a high malaria burden. An observational study discovered that patients in Sierra Leone's Ebola treatment centers were routinely infected with malaria parasites, increasing the risk of death. In this paper, we study Ebola-malaria coinfections under the generalized Mittag-Leffler kernel fractional derivative. The Banach fixed point theorem and the Krasnoselskii type are used to analyse the model's existence and uniqueness. We discuss the model stability using the Hyers-Ulam functional analysis. The numerical scheme for the Ebola-malaria coinfections using Lagrange interpolation is presented. The numerical trajectories show that the prevalence of Ebola-malaria coinfections ranged from low to moderate depending on memory. This means that controlling the disease requires adequate knowledge of the past history of the dynamics of both malaria and Ebola. The graphical dynamics of the detection rate indicate that a variation in the detection rate only affects the following compartments: individuals that are latently infected with the Ebola, Ebola virus afflicted people who went unnoticed, individuals who have been infected with the Ebola virus and have been diagnosed with the disease, and persons undergoing Ebola virus therapy.

Identifiants

pubmed: 36158132
doi: 10.1155/2022/6502598
pmc: PMC9507665
doi:

Types de publication

Journal Article Observational Study

Langues

eng

Sous-ensembles de citation

IM

Pagination

6502598

Informations de copyright

Copyright © 2022 Lingling Zhang et al.

Déclaration de conflit d'intérêts

The writers state that they do not have any competing interests.

Références

BMC Med. 2014 Oct 10;12:196
pubmed: 25300956
J Biol Dyn. 2017 Dec;11(1):42-74
pubmed: 29067875
Appl Math Model. 2021 Sep;97:281-307
pubmed: 33897091

Auteurs

Lingling Zhang (L)

Department of Mathematics, Taiyuan University of Technology, Shanxi Taiyuan 030024, China.

Emmanuel Addai (E)

Department of Mathematics, Taiyuan University of Technology, Shanxi Taiyuan 030024, China.

Joseph Ackora-Prah (J)

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

Yarhands Dissou Arthur (YD)

Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana.

Joshua Kiddy K Asamoah (JKK)

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

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Classifications MeSH