# Optimal control of an age-structured model of HIV infection

Hee Dae Kwon, Jeehyun Lee, Sung Dae Yang

Research output: Contribution to journalArticle

15 Citations (Scopus)

### Abstract

The optimal treatment strategies with an age-structured model of HIV infection are investigated. The age-structured model allows for variations in the virion production rate and the death rate of infected T cells as a function of age, which is the length of time since infection. The optimal therapy protocol is derived by formulating and analyzing an optimal control problem and the existence of solutions to the optimal control problem is established. The optimal treatment strategy is obtained by solving the corresponding optimality system numerically. It is demonstrated by numerical simulations that the dynamic treatment strategy delays the time to reach the peak viral load and reduces the viral load. Moreover, we propose that optimal therapy protocols should be changed according to different viral production rates and death rates of infected T cells.

Original language English 2766-2779 14 Applied Mathematics and Computation 219 5 https://doi.org/10.1016/j.amc.2012.09.003 Published - 2012 Nov 15

### Fingerprint

Age-structured Model
HIV Infection
T-cells
Optimal Control
Therapy
Optimal Control Problem
Optimality System
Computer simulation
Infection
Existence of Solutions
Numerical Simulation
Strategy

### All Science Journal Classification (ASJC) codes

• Computational Mathematics
• Applied Mathematics

### Cite this

Kwon, Hee Dae ; Lee, Jeehyun ; Yang, Sung Dae. / Optimal control of an age-structured model of HIV infection. In: Applied Mathematics and Computation. 2012 ; Vol. 219, No. 5. pp. 2766-2779.
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Optimal control of an age-structured model of HIV infection. / Kwon, Hee Dae; Lee, Jeehyun; Yang, Sung Dae.

In: Applied Mathematics and Computation, Vol. 219, No. 5, 15.11.2012, p. 2766-2779.

Research output: Contribution to journalArticle

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AU - Yang, Sung Dae

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