Optimal control of epidemics with limited resources.

  title={Optimal control of epidemics with limited resources.},
  author={Elsa Hansen and Troy Day},
  journal={Journal of mathematical biology},
  volume={62 3},
We extend the existing work on the time-optimal control of the basic SIR epidemic model with mass action contact rate. Previous results have focused on minimizing an objective function that is a linear combination of the cost associated with using control and either the outbreak size or the infectious burden. We instead, provide analytic solutions for the control that minimizes the outbreak size (or infectious burden) under the assumption that there are limited control resources. We provide… CONTINUE READING
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