Assessing a Mathematical Model of HIV Transmission Dynamics: A Case Study on Commercial Sex Workers and Injection Drug Users in Lusaka

Authors

  • Dr. Joshua HK. Banda* Lusaka Apex Medical University, Lusaka, Zambia. Author

Keywords:

HIV Transmission Dynamics, Mathematical Modeling, Commercial Sex Workers, Injection Drug Users (IDUs), Public Health Interventions.

Abstract

The global HIV epidemic continues to pose significant public health challenges, particularly in urban areas  where high-risk  populations are concentrated. In many settings, interactions between sex workers and  people who inject drugs contribute substantially to the dynamics of HIV transmission. This study develops and  evaluates a mathematical model  that aims to understand the complex  interaction of these interactions  in the context of Lusaka, Zambia.  Using demographic,  behavioral and epidemiological data, the study  uses a compartmental modeling approach to simulate transmission pathways and analyze the impact of targeted intervention  strategies.

Key factors  that support HIV transmission are examined, including behavioral patterns such as inconsistent condom use among  sex workers, the frequency of needle-sharing practices among  drug users for injection, and the overlap between these populations. The model incorporates  heterogeneity in population dynamics and identifies the most influential parameters through sensitivity analysis. This approach  allows us to explore the robustness of the model and its  response to changes in intervention scenarios. Numerical simulations are  conducted to assess the potential effects of various public health interventions, including harm reduction programs for IDUs, widespread condom distribution, and expanded access to antiretroviral  treatment (ART).

The results  show that a combination of interventions can significantly  reduce HIV transmission rates among these high-risk groups. For  example, scaling up harm reduction programs for IDUs,  combined with  continued promotion of condom use among  sex workers, results in a  marked decrease in new infections. The study  also highlights the importance of ART as  an essential tool not only for  treatment, but also for reducing viral load and subsequent transmission  risks.

This research highlights the utility of mathematical modeling  to capture the  subtleties of HIV transmission dynamics, particularly in urban  settings characterized by unique socio-behavioral factors.  Furthermore, the findings provide actionable  information for public health policy, advocating for integrated and context-specific strategies to address the HIV epidemic in Lusaka and similar settings. The study  highlights the role of mathematical modeling as  an essential framework  to inform evidence-based interventions and  advance the global fight against HIV.

 

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Published

2025-06-26

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Articles

How to Cite

[1]
Dr. Joshua HK. Banda*, Tran., “Assessing a Mathematical Model of HIV Transmission Dynamics: A Case Study on Commercial Sex Workers and Injection Drug Users in Lusaka”, WJAMS, vol. 2, no. 6, pp. 23–34, Jun. 2025, Accessed: Jun. 23, 2026. [Online]. Available: https://wasrpublication.com/index.php/wjams/article/view/401