WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Stability Analysis and Optimal Control of a Fractional Order Model for HIV Infection
Authors: ,
Abstract: In this article, a mathematical model of HIV infection is developed using fractional-order. The model possesses non-negative solutions. The system has three equilibria. Stability conditions of the model system around the equilibria are derived. The necessary conditions for the optimality of the system are derived whose fractional derivative is described in the Riemann and Caputo sense. Using an objective functional, the fractional optimal control problem is solved with minimal dosage of anti-HIV drugs with an aim to minimize the infectious viral load and count of infected CD4+T cells. Efficient numerical technique is provided for solving the FOCP. Numerical simulation has been done to elucidate the analytical results.
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Keywords: HIV, CD4+T cell, Immune system, Fractional-Order Differential Equations (FODEs), Memory, Optimal Drug therapy, Fractional Optimal Control Problem (FOCP)
Pages: 152-162
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #18