A compartmental model study on the impact of HIV stage progression in co-infection dynamics of HIV/AIDS and Varicella-Zoster
Year: 2025
Type: article
Abstract: This study offers a comprehensive exploration of infectious disease dynamics, centering on zoster, HIV, and their co-infections. We developed a comprehensive mathematical model to provide insights into strategies for disease control and management. The model’s stability analyses revealed both disease-free and endemic equilibrium points, providing insights into potential eradication and control measures. Key findings include the identification of distinct protective thresholds for zoster and HIV. These thresholds emphasize the importance of tailored protection measures for each disease. We also emphasized the role of treatment rates in lowering co-infection cases, stressing the need for timely and effective interventions. When comparing our results with existing studies, we found our findings consistent with those that advocate for customized protection strategies, while our work uniquely identifies specific protective thresholds based on the stage of HIV/AIDS. Similarly, the study's focus on treatment rates resonates with the broader literature that highlights the importance of timely treatments. Despite the valuable insights provided by our model, it is essential to acknowledge its limitations, particularly its reliance on certain assumptions that may limit its real-world applicability. Nevertheless, the study enriches infectious disease epidemiology by offering evidence-based insights and recommendations. Our findings suggest adopting customized protective measures aligned with disease-specific thresholds and emphasizing higher treatment rates for co-infections in public health policies. Future studies should aim to enhance the model by including more intricate disease interactions and validating results with real-world data, enabling strategies to better respond to shifting disease patterns.
Source: Research in Mathematics
Institutions: Oda Bultum University, Debre Berhan University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4407136140