A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay. (19th March 2019)

• Record Type: Journal Article
• Authors: Arafa, A. A. M.; Khalil, M.; Sayed, A.
• Other Names: Cosentino Carlo Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-03-19
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/4291017
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.