Optimal control of an HIV immunology model

Optimal control of an HIV immunology model

A system of ordinary differential equations, which describes the interaction of HIV and T‐cells in the immune system is utilized, and optimal controls representing drug treatment strategies of this model are explored. Two types of treatments are used, and existence and uniqueness results for the opt...

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Veröffentlicht in:Optimal control applications & methods 2002-07, Vol.23 (4), p.199-213
1. Verfasser: Joshi, Hem Raj
Format: Artikel
Sprache:eng
Schlagworte:
Diseases
Drug therapy
HIV model
Immunology
immunology model
Iterative methods
Mathematical models
Numerical methods
ODE model
optimal control
Ordinary differential equations
Runge Kutta methods
two drug treatments
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Zusammenfassung:A system of ordinary differential equations, which describes the interaction of HIV and T‐cells in the immune system is utilized, and optimal controls representing drug treatment strategies of this model are explored. Two types of treatments are used, and existence and uniqueness results for the optimal control pair are established. The optimality system is derived and then solved numerically using an iterative method with a Runge–Kutta fourth order scheme. Copyright © 2002 John Wiley & Sons, Ltd.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.710