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Optimal drug control in a four‐dimensional HIV infection model.
- Source :
- Optimal Control - Applications & Methods; Mar2020, Vol. 41 Issue 2, p469-486, 18p
- Publication Year :
- 2020
-
Abstract
- Summary: In this paper, we consider a four‐dimensional version of a human immunodeficiency virus (HIV) infection model, which is an extension of some previous three‐dimensional models. We approach the treatment problem by adding two controls u1 and u2 to the system for inhibiting viral production and preventing new infections. In fact, u1 is added to components of uninfected and infected cells to represent the effect of chemotherapy on the interaction of uninfected CD4+ T cells with infected cells. u2 is considered in the effector immune component as immunotherapy. The purpose of this work is to control the progress of the disease in a steady state. Hence, first, we obtain a relation between the two controls u1 and u2 such that a Hopf bifurcation occurs. Next, the Pontryagin minimum principle will be applied to derive the optimal therapy for HIV. At the end, numerical results are presented. [ABSTRACT FROM AUTHOR]
- Subjects :
- HIV infections
DRUG control
HOPF bifurcations
T cells
THREE-dimensional modeling
HIV
Subjects
Details
- Language :
- English
- ISSN :
- 01432087
- Volume :
- 41
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Optimal Control - Applications & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 142061017
- Full Text :
- https://doi.org/10.1002/oca.2555