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article · Journal of Biological Dynamics

A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies

202327 citationsOpen accessDebre Berhan University

In plain language

Co-infection of HIV/AIDS and COVID-19 presents a significant public health challenge, particularly within developing nations. To understand the dynamics of this dual burden, a mathematical framework using ordinary differential equations was developed to assess how various interventions affect disease transmission. The model confirms that solutions remain non-negative and bounded, and it establishes the stability conditions for equilibrium states using basic reproduction numbers derived via the next-generation matrix method. Sensitivity analysis reveals that primary transmission rates exert the strongest direct influence on basic reproduction numbers, whilst protection and treatment rates have notable indirect effects. Further numerical simulations demonstrate that implementing targeted protection and treatment measures can substantially reduce transmission, offering viable strategies to control or eradicate the spread of both single infections and co-infection across communities.

Key takeaways

  • A mathematical model using ordinary differential equations was formulated to evaluate HIV/AIDS and COVID-19 co-infection dynamics.
  • Transmission rates are the primary parameters directly driving the basic reproduction numbers.
  • Protection and treatment rates exert an indirect but significant influence on reducing disease transmission.
  • Numerical simulations confirm that combining protection and treatment interventions can effectively suppress or eradicate co-infection in a population.

Why it matters

Managing concurrent epidemics is difficult for healthcare systems facing resource limitations. By mathematically quantifying how interventions influence the spread of both COVID-19 and HIV/AIDS simultaneously, this work provides evidence that combined treatment and protection measures can reduce the burden of co-infection, helping public health authorities design more targeted disease control policies.

Commercialisation angle

This work represents early-stage theoretical research that could inform public health planning and epidemiological software tools. The primary prospective users would be healthcare policymakers, epidemiologists, and public health agencies seeking to evaluate the impact of resource allocation for treatment and protection programmes. Because the findings are based on mathematical analysis and numerical simulations rather than field trials or commercial software development, significant development is required before direct operational deployment.

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Abstract

HIV/AIDS-COVID-19 co-infection is a major public health concern especially in developing countries of the world. This paper presents HIV/AIDS-COVID-19 co-infection to investigate the impact of interventions on its transmission using ordinary differential equation. In the analysis of the model, the solutions are shown to be non-negative and bounded, using next-generation matrix approach the basic reproduction numbers are computed, sufficient conditions for stabilities of equilibrium points are established. The sensitivity analysis showed that transmission rates are the most sensitive parameters that have direct impact on the basic reproduction numbers and protection and treatment rates are more sensitive and have indirect impact to the basic reproduction numbers. Numerical simulations shown that some parameter effects on the transmission of single infections as well as co-infection, and applying the protection rates and treatment rates have effective roles to minimize and also to eradicate the HIV/AIDS-COVID-19 co-infection spreading in the community.

Research topics

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • COVID-19 epidemiological studies

Read the original research

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DOI: 10.1080/17513758.2023.2175920

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