Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

STABILIZATION OF HIV / AIDS MODEL BY RECEDING HORIZON CONTROL

  • ELAIW A. M. (Budapest University of Technology and Economics, School of Mathematics) ;
  • KISS K. (Budapest University of Technology and Economics, School of Mathematics) ;
  • L CAETANO M. A. (Ibmec Business School Rua Maestro Cardim)
  • Published : 2005.03.01

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Abstract

This work concerns the stabilization of uninfected steady state of an ordinary differential equation system modeling the interaction of the HIV virus and the immune system of the human body. The control variable is the drug dose, which, in turn, affects the rate of infection of $CD4^{+}$ T cells by HIV virus. The feedback controller is constructed by a variant of the receding horizon control (RHC) method. Simulation results are discussed.

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