A study on fractional HIV‐AIDs transmission model with awareness effect

Sunil Kumar, R.P. Chauhan, M.S. Osman, S. A. Mohiuddine

2021Mathematical Methods in the Applied Sciences33 citationsDOI

Abstract

The main aim of this work is to numerically investigate a mathematical model of the HIV/AIDS disease with awareness effect, as the fractional derivatives capture more the genetic and memory properties of the biological models in comparison to the classical derivative. Therefore, in this article, we utilize the generalized Caputo fractional derivative to extend the integer‐order model of HIV/AIDS transmission to fractional order. A novel fixed‐point approach is used to identify the existence and uniqueness of the FO model. We use a new numerical technique based on the Adams‐Bashforth predictor‐corrector method to solve the fractional‐order HIV/AIDS transmission model. We illustrated the obtained numerical results through graphs.

Topics & Concepts

Fractional calculusUniquenessMathematicsTransmission (telecommunications)Applied mathematicsHuman immunodeficiency virus (HIV)Integer (computer science)Order (exchange)Predictor–corrector methodMathematical optimizationMathematical analysisComputer scienceMedicineImmunologyEconomicsTelecommunicationsProgramming languageFinanceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis