<abstract xmlns="http://www.w3.org/1999/xhtml">

Over the past decade, Human Immunodeficiency Virus infection and Acquired Immunodeficiency Syndrome (HIV/AIDS) have become deadly infectious diseases, particularly in developing countries. This challenge has led to the development of some important HIV/AIDS treatment strategies, such as antiretroviral therapy (ART), among many others. This study presents a mathematical model to investigate the dynamics of HIV/AIDS transmission. Employing mathematical analysis, non-negativity, boundedness, the basic reproduction number <italic>ℛ</italic>0, and the stability of both the disease-free and endemic equilibrium of the proposed model were derived. Normalized forward sensitivity techniques are used to determine the significance and importance of sensitive parameters associated with <italic>ℛ</italic>0. To gain insights into the dynamical behavior of each compartment, an effective numerical scheme was utilized, and the results obtained suggest that there is a need, even if individuals are infected with the virus, to use non-pharmaceutical interventions as control strategies.
</abstract>

Over the past decade, Human Immunodeficiency Virus infection and Acquired Immunodeficiency Syndrome (HIV/AIDS) have become deadly infectious diseases, particularly in developing countries. This challenge has led to the development of some important HIV/AIDS treatment strategies, such as antiretroviral therapy (ART), among many others. This study presents a mathematical model to investigate the dynamics of HIV/AIDS transmission. Employing mathematical analysis, non-negativity, boundedness, the basic reproduction number ℛ0, and the stability of both the disease-free and endemic equilibrium of the proposed model were derived. Normalized forward sensitivity techniques are used to determine the significance and importance of sensitive parameters associated with ℛ0. To gain insights into the dynamical behavior of each compartment, an effective numerical scheme was utilized, and the results obtained suggest that there is a need, even if individuals are infected with the virus, to use non-pharmaceutical interventions as control strategies.

A mathematical and sensitivity analysis of an HIV/AIDS infection model

Department of Mathematics, Faculty of Natural and Applied Sciences

Department of Mathematics, Faculty of Science

King Mongkut's University of Technology North Bangkok

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A mathematical and sensitivity analysis of an HIV/AIDS infection model"}

Over the past decade, Human Immunodeficiency Virus infection and Acquired Immunodeficiency Syndrome (HIV/AIDS) have become deadly infectious diseases,...

A mathematical and sensitivity analysis of an HIV/AIDS infection model

Article Category: Original Study

Publicado en línea: 02 jun 2024

Páginas: -

Recibido: 25 jul 2023

Aceptado: 01 ene 2024

DOI: https://doi.org/10.2478/ijmce-2025-0004

Palabras clave
HIV/AIDS, mathematical model, sensitivity analysis, numerical simulations

© 2025 Idris Ahmed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A mathematical and sensitivity analysis of an HIV/AIDS infection model

Article Category: Original Study

Publicado en línea: 02 jun 2024

Páginas: -

Recibido: 25 jul 2023

Aceptado: 01 ene 2024

DOI: https://doi.org/10.2478/ijmce-2025-0004

Palabras claveHIV/AIDS, mathematical model, sensitivity analysis, numerical simulations

© 2025 Idris Ahmed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Palabras clave
HIV/AIDS, mathematical model, sensitivity analysis, numerical simulations