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Optimal control of an HIV immunology model
Author(s) -
Joshi Hem Raj
Publication year - 2002
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.710
Subject(s) - uniqueness , ordinary differential equation , human immunodeficiency virus (hiv) , optimal control , immune system , mathematics , scheme (mathematics) , control (management) , computer science , mathematical optimization , differential equation , control theory (sociology) , medicine , immunology , mathematical analysis , artificial intelligence
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.