Decision Making Procedure in Optimal Control Problem for the SIR Model

Elena Gubar; Ekaterina Zhitkova

Authors

Elena Gubar Saint Petersburg State University
Ekaterina Zhitkova Saint Petersburg State University

Abstract

In this work we join on classical SIR model to describe influenza epidemic in urban population with procedure of making decision. We suppose that agent in urban population makes a choice: whether or not to participate in vaccination company. Each decision involve different costs and indirectly influence on the population state. We formulated an optimal control problem to study the optimal behavior during epidemic period and vaccination company. All theoretical results are also supported by the numerical simulations.

Keywords:

SIR model, vaccination problem, evolutionary games, optimal control, epidemic process

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