Optimal control of an HIV immunology model

Optimal control of an HIV immunology model

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Article ID: iaor20042166
Country: United Kingdom
Volume: 23
Issue: 4
Start Page Number: 199
End Page Number: 213
Publication Date: Jul 2002
Journal: Optimal Control Applications & Methods
Authors:
Keywords: control processes
Abstract:

A system of ordinary differential equations, which describes the interactions 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.

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