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A model for HIV/AIDS pandemic with optimal control
- Source :
- Aip Conference Proceedings
- Publication Year :
- 2020
-
Abstract
- 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.
- Subjects :
- Mathematical optimization
business.industry
Stability (learning theory)
Human immunodeficiency virus (HIV)
Disease free
Disease
Contributed Oral Papers
Optimal control
medicine.disease
medicine.disease_cause
Virology
Immune deficiency syndrome
Acquired immunodeficiency syndrome (AIDS)
Pandemic
medicine
business
Mathematics
Subjects
Details
- ISSN :
- 0094243X
- Volume :
- 1660
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- AIP conference proceedings
- Accession number :
- edsair.doi.dedup.....7366e22e97c8d3fb5d94984955e6dd18