A model for HIV/AIDS pandemic with optimal control

Human immunodeficiency virus and acquired immune deficiency syndrome (HIV/AIDS) is pandemic. It has affected nearly 60 million people since the detection of the disease in 1981 to date. In this paper basic deterministic HIV/AIDS model with mass action incidence function are developed. Stability anal...

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Detalles Bibliográficos
Autores principales: Sule, Amiru, Abdullah, Farah Aini
Formato: Online Artículo Texto
Lenguaje:English
Publicado: AIP Publishing LLC 2015
Materias:
Contributed Oral Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7108779/
https://www.ncbi.nlm.nih.gov/pubmed/32255874
http://dx.doi.org/10.1063/1.4915640
Descripción
Sumario:Human immunodeficiency virus and acquired immune deficiency syndrome (HIV/AIDS) is pandemic. It has affected nearly 60 million people since the detection of the disease in 1981 to date. In this paper basic deterministic HIV/AIDS model with mass action incidence function are developed. Stability analysis is carried out. And the disease free equilibrium of the basic model was found to be locally asymptotically stable whenever the threshold parameter (RO) value is less than one, and unstable otherwise. The model is extended by introducing two optimal control strategies namely, CD4 counts and treatment for the infective using optimal control theory. Numerical simulation was carried out in order to illustrate the analytic results.

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