Arafa A.A.M.Khalil M.Sayed A.Department of Mathematics and Computer ScienceFaculty of SciencePort Said UniversityPortEgypt; Department of MathematicsFaculty of EngineeringOctober University for Modern Sciences and Arts (MSA)GizaEgypt2020-01-092020-01-09201910762787https://doi.org/10.1155/2019/4291017PubMed ID :https://t.ly/WepG9ScopusMSA Google ScholarThe 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. � 2019 A. A. M. Arafa et al.EnglishEpidemiologyTime delayTiming circuitsVirusesConstant time delaysDisease-free equilibriumFractional order derivativesFractional order modelsHuman immunodeficiency virusInteger variablesLocal and global stabilitiesPredictor-corrector schemesDiseasesArticlehttps://doi.org/10.1155/2019/4291017PubMed ID :