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<p>This study develops a novel HIV/AIDS compartmental model that integrates the critical, interconnected challenges of drug resistance emergence from treated individuals, healthcare constraints via a saturating treatment function, and persistent vertical transmission. The objective is to provide a comprehensive mathematical framework for analyzing these complex dynamics and designing effective intervention strategies. Our analysis reveals that treatment saturation can induce a backward bifurcation, complicating disease eradication efforts, while optimal control simulations demonstrate that a combined strategy of enhanced screening, accelerated treatment initiation, and adherence support significantly reduces infection pools and minimizes disease progression compared to isolated interventions.</p>

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HIV/AIDS compartmental model analysis with drug resistance treatment, vertical transmission, and optimal control theory

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月19日

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  • Olumuyiwa James Peter,
  • Shewafera Wondimagegnhu Teklu,
  • Ghaniyyat Bolanle Balogun,
  • Gbolahan Bolarin,
  • Manalebish Debalike Asfaw

摘要

This study develops a novel HIV/AIDS compartmental model that integrates the critical, interconnected challenges of drug resistance emergence from treated individuals, healthcare constraints via a saturating treatment function, and persistent vertical transmission. The objective is to provide a comprehensive mathematical framework for analyzing these complex dynamics and designing effective intervention strategies. Our analysis reveals that treatment saturation can induce a backward bifurcation, complicating disease eradication efforts, while optimal control simulations demonstrate that a combined strategy of enhanced screening, accelerated treatment initiation, and adherence support significantly reduces infection pools and minimizes disease progression compared to isolated interventions.