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Article

Optimal Control and Treatment of Infectious Diseases. The Case of Huge Treatment Costs

Department of Economics, University of Foggia, Largo Papa Giovanni Paolo II, Foggia 71121, Italy
Academic Editor: Bruno Buonomo
Mathematics 2016, 4(2), 21; https://doi.org/10.3390/math4020021
Received: 30 December 2015 / Revised: 7 March 2016 / Accepted: 21 March 2016 / Published: 1 April 2016
(This article belongs to the Special Issue Optimal Control and Management of Infectious Diseases)
The representation of the cost of a therapy is a key element in the formulation of the optimal control problem for the treatment of infectious diseases. The cost of the treatment is usually modeled by a function of the price and quantity of drugs administered; this function should be the cost as subjectively perceived by the decision-maker. Nevertheless, in literature, the choice of the cost function is often simply done to make the problem more tractable. A specific problem is also given by very expensive therapies in the presence of a very high number of patients to be treated. Firstly, we investigate the optimal treatment of infectious diseases in the simplest case of a two-class population (susceptible and infectious people) and compare the results coming from five different shapes of cost functions. Finally, a model for the treatment of the HCV virus using the blowing-up cost function is investigated. Some numerical simulations are also given. View Full-Text
Keywords: optimal control; cost functions; epidemics optimal control; cost functions; epidemics
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MDPI and ACS Style

Di Liddo, A. Optimal Control and Treatment of Infectious Diseases. The Case of Huge Treatment Costs. Mathematics 2016, 4, 21. https://doi.org/10.3390/math4020021

AMA Style

Di Liddo A. Optimal Control and Treatment of Infectious Diseases. The Case of Huge Treatment Costs. Mathematics. 2016; 4(2):21. https://doi.org/10.3390/math4020021

Chicago/Turabian Style

Di Liddo, Andrea. 2016. "Optimal Control and Treatment of Infectious Diseases. The Case of Huge Treatment Costs" Mathematics 4, no. 2: 21. https://doi.org/10.3390/math4020021

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