Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention

  title={Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention},
  author={David I. Ketcheson},
  journal={Journal of Mathematical Biology},
  • D. Ketcheson
  • Published 19 April 2020
  • Mathematics
  • Journal of Mathematical Biology
We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The control is allowed to be applied only over a finite time interval, while the objective is to minimize the total number of individuals infected in the long-time limit, subject to some cost function for the control. We first consider the no-cost scenario and… 
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