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D. A. Wilson and J. E. Rubio, “Existence of Optimal Controls for the Diffusion Equation,” Journal of Optimization Theory and Applications, Vol. 22, 1977, pp. 91 101.

has been cited by the following article:

• TITLE: Maximizing of Asymptomatic Stage of Fast Progressive HIV Infected Patient Using Embedding Method

  AUTHORS: Hassan Zarei, Ali Vahidian Kamyad, Sohrab Effati

  KEYWORDS: HIV Model, Optimal Control, Measure Theory, Linear Programming

  JOURNAL NAME: Intelligent Control and Automation, Vol.1 No.1, August 27, 2010

  ABSTRACT: A system of ordinary differential equations, which describe various aspects of the interaction of HIV with healthy cells in fast progressive patient, is utilized, and an optimal control problem is constructed to prolong survival and delay the progression to AIDS as far as possible, subject to drug costs. Optimal control problem is approximated by linear programming model using measure theoretical approach and suboptimal combinations of reverse transcriptase inhibitor (RTI) and protease inhibitor (PI) drug efficacies are proposed. The Comparison of healthy CD4+ Tcells counts, virus particles and immune response, before and after the treatment is introduced.