A Mathematical Model for the Dynamics of HIV/AIDS Considering Asymptomatic

This article analyzes a mathematical model for the dynamics of HIV/AIDS, in which study six behaviors corresponding to five stages of progression of the disease: the phase susceptible, the phase without diagnosis, the phase of diagnosis without viral suppression, with viral suppression and with AIDS...

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Autores:
Tipo de recurso:
Fecha de publicación:
2023
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/15366
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/14877
https://repositorio.uptc.edu.co/handle/001/15366
Palabra clave:
Antirretrovirales
Asintomáticos
Diagnostico
Inmigración
Profilaxis
SIDA
VIH
antiretrovirals, asymptomatic, diagnosis, immigration, Prophylaxis, AIDS, HIV
Rights
License
http://purl.org/coar/access_right/c_abf2
Description
Summary:This article analyzes a mathematical model for the dynamics of HIV/AIDS, in which study six behaviors corresponding to five stages of progression of the disease: the phase susceptible, the phase without diagnosis, the phase of diagnosis without viral suppression, with viral suppression and with AIDS, is also considered a protected population under the action of pre-exposure prophylaxis. It is also considered a rate of immigrants in the populations of undiagnosed and diagnosed without viral suppression. With the proposed model, equilibrium points are sought, in which, due to immigration there is no trivial equilibrium point and therefore the basic reproductive number of disease cannot be calculated. Numerical simulations are carried out, and parameters are estimated with data from the city of Pasto, in Colombia, from where it can be seen that timely diagnosis and prevalence in the use of antiretrovirals are very effective in controlling the disease.