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

Sunil Kumar; Ram P. Chauhan; Mohamed S. Osman; S. A. Mohiuddine

doi:10.1002/mma.7838

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

Sunil Kumar
, Ram P. Chauhan
, Mohamed S. Osman
, S. A. Mohiuddine

Nonlinear Dynamic Research Centre (NDRC)

National Institute of Technology Jamshedpur
Cairo University
King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

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.

Original language	English
Pages (from-to)	8334-8348
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	7
DOIs	https://doi.org/10.1002/mma.7838
State	Published - 15 May 2023

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being
SDG 5 Gender Equality

Keywords

HIV model
adaptive P-C method
existence and uniqueness
generalized Caputo derivative
numerical simulation

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10.1002/mma.7838

Cite this

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title = "A study on fractional HIV-AIDs transmission model with awareness effect",

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.",

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AU - Kumar, Sunil

AU - Chauhan, Ram P.

AU - Osman, Mohamed S.

AU - Mohiuddine, S. A.

PY - 2023/5/15

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N2 - 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.

AB - 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.

KW - HIV model

KW - adaptive P-C method

KW - existence and uniqueness

KW - generalized Caputo derivative

KW - numerical simulation

UR - https://www.scopus.com/pages/publications/85116515783

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DO - 10.1002/mma.7838

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SN - 0170-4214

VL - 46

SP - 8334

EP - 8348

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 7

ER -

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

Abstract

UN SDGs

Keywords

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