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Optimal Resource Allocation to Reduce an Epidemic Spread and Its Complication
Open AccessArticle

Optimal Control of Virus Spread under Different Conditions of Resources Limitations

Department of Computer Control and Management Engineering Antonio Ruberti, Sapienza University of Rome, via Ariosto 25, 00185 Rome, Italy
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2018 22nd International Conference on System Theory, Control and Computing (ICSTCC), Sinaia, Romania, 10–12 October 2018.
Information 2019, 10(6), 214; https://doi.org/10.3390/info10060214
Received: 30 April 2019 / Revised: 13 June 2019 / Accepted: 18 June 2019 / Published: 19 June 2019
(This article belongs to the Special Issue ICSTCC 2018: Advances in Control and Computers)

Abstract

The paper addresses the problem of human virus spread reduction when the resources for the control actions are somehow limited. This kind of problem can be successfully solved in the framework of the optimal control theory, where the best solution, which minimizes a cost function while satisfying input constraints, can be provided. The problem is formulated in this contest for the case of the HIV/AIDS virus, making use of a model that considers two classes of susceptible subjects, the wise people and the people with incautious behaviours, and three classes of infected, the ones still not aware of their status, the pre-AIDS patients and the AIDS ones; the control actions are represented by an information campaign, to reduce the category of subjects with unwise behaviour, a test campaign, to reduce the number of subjects not aware of having the virus, and the medication on patients with a positive diagnosis. The cost function considered aims at reducing patients with positive diagnosis using as less resources as possible. Four different types of resources bounds are considered, divided into two classes: limitations on the instantaneous control and fixed total budgets. The optimal solutions are numerically computed, and the results of simulations performed are illustrated and compared to put in evidence the different behaviours of the control actions. View Full-Text
Keywords: virus spread; HIV/AIDS infection; optimal control; resource limitations virus spread; HIV/AIDS infection; optimal control; resource limitations
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Di Giamberardino, P.; Iacoviello, D. Optimal Control of Virus Spread under Different Conditions of Resources Limitations. Information 2019, 10, 214.

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