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A mathematical model for HIV/AIDS : Investigating the potential impact of funding withdrawal on the dynamics of the disease
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A mathematical model for HIV/AIDS : Investigating the potential impact of funding withdrawal on the dynamics of the disease

Kutloano Potse
Master of Science (MSc), University of Johannesburg
2025
Handle:
https://hdl.handle.net/10210/520071

Abstract

HIV/AIDS remains one of the leading public health challenges in African countries, where treatment and prevention programs are heavily reliant on external donor support. Recent fluctuations in international aid, including PEPFAR budget cuts and shifting donor priorities, have raised concerns about the sustainability of ART coverage and long-term epidemic control. Motivated by these uncertainties, this study investigates how funding withdrawal influences HIV transmission dynamics and treatment outcomes. We justify this focus by noting that existing models often assume constant or unlimited resources, thereby underestimating the fragility of epidemic control under financial shocks. Methodologically, we extend deterministic compartmental models to embed funding as a dynamic state variable directly affecting ART initiation, adherence, and prevention coverage, while stochastic simulations are employed to capture variability in treatment continuity and resource allocation. Using parameter estimates informed by South African data, the results demonstrate that reductions in donor support can substantially elevate the basic reproduction number R0, prolong epidemic persistence, and lead to higher AIDS related mortality. Policy simulations further reveal that strengthening domestic health financing and implementing adaptive prevention strategies are critical to maintaining epidemic control in the face of declining donor contributions. These findings provide actionable insights for policymakers by demonstrating that integrating financial constraints into epidemic modelling is essential for designing resilient and sustainable HIV/AIDS programs in resource limited countries. Furthermore, the study highlights the urgent need for long-term financial planning and diversified funding streams to ensure the stability of HIV/AIDS interventions in African counties.
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