Optimal intervention policies for a multidimensional simple epidemic process

Authors:
E. G. Kyriakidis;A. Pavitsos
Affiliations:
Department of Financial and Management Engineering, University of the Aegean, 31 Fostini Street, 82100, Chios, Greece;Department of Financial and Management Engineering, University of the Aegean, 31 Fostini Street, 82100, Chios, Greece
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

We consider a deterministic simple epidemic process in which the susceptibles are exposed to n+1 diseases. It is assumed that one disease is relatively harmless while the others cause serious symptoms. Policies for introducing infection by the harmless disease are considered and, under a suitable cost structure, the optimal policy that minimises the future cost for every initial state is found. For the corresponding stochastic model, the optimal policy is found by implementing a suitable dynamic programming algorithm, and is compared numerically with the optimal policy for the deterministic model.