薬剤耐性、垂直感染、および最適制御理論を伴うHIV/AIDS区画モデル解析
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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