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Updated: Jan 8, 2026

An Affordable HIV-1 Drug Resistance Monitoring Method for Resource Limited Settings
Published on: March 30, 2014
HIV/AIDS compartmental model analysis with drug resistance treatment, vertical transmission, and optimal control
Olumuyiwa James Peter1,2,3, Shewafera Wondimagegnhu Teklu4, Ghaniyyat Bolanle Balogun5
1Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai, Tamil Nadu, India.
Abstract:
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.
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