Geodesic
Decision Making Procedure in Optimal Control Problem for the SIR Model
Contributions to game theory and management, Tome 6 (2013), pp. 189-199

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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. 
@article{CGTM_2013_6_a12,
     author = {Elena Gubar and Ekaterina Zhitkova},
     title = {Decision {Making} {Procedure} in {Optimal} {Control} {Problem} for the {SIR} {Model}},
     journal = {Contributions to game theory and management},
     pages = {189--199},
     publisher = {mathdoc},
     volume = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a12/}
}
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Elena Gubar; Ekaterina Zhitkova. Decision Making Procedure in Optimal Control Problem for the SIR Model. Contributions to game theory and management, Tome 6 (2013), pp. 189-199. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a12/