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<p>In this study, a vital concept of fractional derivative accompanied with optimal control is applied for modeling and analysis of Human Immunodeficiency Virus (HIV) transmission. The developed model is versatile and satisfy mathematical and medical meaningfulness through fulfilling well-posedness’ properties. The strong human body immunity and adherence of HIV infected individuals to Antiretroviral Therapy (ART) helps for reduction of HIV transmission. The fractional model exhibits forward bifurcation when the basic reproduction number equals one which is a sufficient condition for the persistence of the disease if the basic reproduction number is greater than 1. A predictor-corrector numerical scheme is developed to perform numerical simulations using MATLAB platform.</p>

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Computational methods for fractional order HIV model: a predictor-corrector approach

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • Muath Awadalla,
  • Fatmawati Fatmawati,
  • Hajer Zaway,
  • Kumama Regassa Cheneke

摘要

In this study, a vital concept of fractional derivative accompanied with optimal control is applied for modeling and analysis of Human Immunodeficiency Virus (HIV) transmission. The developed model is versatile and satisfy mathematical and medical meaningfulness through fulfilling well-posedness’ properties. The strong human body immunity and adherence of HIV infected individuals to Antiretroviral Therapy (ART) helps for reduction of HIV transmission. The fractional model exhibits forward bifurcation when the basic reproduction number equals one which is a sufficient condition for the persistence of the disease if the basic reproduction number is greater than 1. A predictor-corrector numerical scheme is developed to perform numerical simulations using MATLAB platform.