Optimal Control of HIV Infection by Using Fuzzy Dynamical Systems

Volume 2, Issue 4, pp 639--649 http://dx.doi.org/10.22436/jmcs.02.04.08

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Authors

M. Najariyan - School of Mathematics, Ferdowsi University of Mashhad, Iran M. H. Farahi - School of Mathematics, Ferdowsi University of Mashhad, Iran, and the center of excellence in modelling and computations in linear and nonlinear systems (CRMCS) M. Alavian - Islamic Azad University, Mashhad, Iran

Abstract

A dynamical system represent the infection and propagation of HIV is considered. First a mathematical model for the HIV is simulated. Since age, sex… are important parameters in treatment of HIV disease, it is natural to consider the variables as fuzzy variables. Thus we need to consider a fuzzy dynamical system to control the HIV disease. To solve such a fuzzy dynamical system, by using α-cuts, one can convert this system to a non-fuzzy system of differential equations, then by using numerical methods one may attempts to solve these differential equations

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Keywords

• Fuzzy differential equations
• nonlinear programming
• discretization method
• HIV

MSC

•  93C42
•  93C40
•  93C85
•  34A07
•  46S40
•  34C60
•  49K15

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