A model for HIV/AIDS pandemic with optimal control | Zendy

Amiru Sule | Zendy; Farah Aini Abdullah | Zendy

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A model for HIV/AIDS pandemic with optimal control

Author(s) -

Amiru Sule,

Farah Aini Abdullah

Publication year - 2015

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4915640

Subject(s) - pandemic , human immunodeficiency virus (hiv) , stability (learning theory) , epidemic model , disease , action (physics) , stability theory , value (mathematics) , incidence (geometry) , computer science , function (biology) , mathematics , mathematical optimization , virology , medicine , statistics , covid-19 , biology , infectious disease (medical specialty) , population , environmental health , machine learning , geometry , nonlinear system , physics , pathology , quantum mechanics , evolutionary biology

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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