Introduction to Optimal Control for Discrete Time Models with an Application to Disease Modeling

نویسندگان

  • Wandi Ding
  • Suzanne Lenhart
چکیده

This paper serves as an introduction to the theory of optimal control applied to systems of discrete time models with an emphasis on disease models. We outline the steps in solving such optimal control problems and discuss the necessary conditions. A simple disease example provides detailed methodology in charactering the optimal control through the use of Pontryagin’s Maximum Principle. Numerical results are given to illustrate several cases.

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تاریخ انتشار 2010