Stability of a mathematical model of HIV/AIDS considering treatment and the impact of media coverage

• Autores: Gonzales Moreno, Evelyn Katherine, López-Cruz, Roxana
• Formato: artículo
• Fecha de Publicación: 2021
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/3905
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3905
• Nivel de acceso: acceso abierto
• Materia: Epidemiological model; latency; local stablility; numerical simulation; HIV/AIDS; Modelo epidemiológico; latencia; estabilidad local; simulación numérica; VIH/SIDA

A mathematical model is proposed to study the dynamics of the spread of HIV/AIDS with treatment considering media coverage. The subpopulations involved in the study are; susceptible individuals, slow-latency infected individuals, fast-latency infected individuals, symptomatic individuals undergoing treatment, and finally individuals with AIDS. We consider a system of ordinary differential equations that let us to understand the dynamics of the spread of HIV/AIDS, taking into account two non-linear incidence rates that show the influence of media coverage as a disease control. We establish conditions for the stability of this model. The result enables us to evaluate the media coverage impact on the dynamics of the disease. Finally, we show a numerical simulation analysis of the model and a sensitivity analysis corresponding to the parameters.