A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay

A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay

The purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is a...

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Main Authors: A. A. M. Arafa, M. Khalil, A. Sayed
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/4291017
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spelling doaj-84b04f943b61487db4117f15b5c5b0692020-11-25T01:11:50ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/42910174291017A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time DelayA. A. M. Arafa0M. Khalil1A. Sayed2Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptDepartment of Mathematics, Faculty of Engineering, October University for Modern Sciences and Arts (MSA), Giza, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptThe purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is an extension of the constant fractional-order derivative to explain a certain pattern in the development of infection of several patients. The presented model has been solved numerically via the predictor-corrector scheme. The local and global stability conditions of the disease-free equilibrium are investigated. Also, numerical simulations are presented for different variable fractional-order derivatives in Caputo sense.http://dx.doi.org/10.1155/2019/4291017
collection DOAJ
language English
format Article
sources DOAJ
author A. A. M. Arafa
M. Khalil
A. Sayed
spellingShingle A. A. M. Arafa
M. Khalil
A. Sayed
A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
Complexity
author_facet A. A. M. Arafa
M. Khalil
A. Sayed
author_sort A. A. M. Arafa
title A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
title_short A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
title_full A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
title_fullStr A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
title_full_unstemmed A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
title_sort non-integer variable order mathematical model of human immunodeficiency virus and malaria coinfection with time delay
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description The purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is an extension of the constant fractional-order derivative to explain a certain pattern in the development of infection of several patients. The presented model has been solved numerically via the predictor-corrector scheme. The local and global stability conditions of the disease-free equilibrium are investigated. Also, numerical simulations are presented for different variable fractional-order derivatives in Caputo sense.
url http://dx.doi.org/10.1155/2019/4291017
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