Optimal control of a probabilistic dynamic for epidemic spreading in arbitrary complex networks
Physics and Society
2017-12-22 v1 Biological Physics
Abstract
This paper presents a discrete time probabilistic dynamic for simulating a contact-based epidemic spreading based on discrete time Markov chain process, in particular the attention is addressed to the susceptible-infectious-removed (SIR) model and the phase diagram of such model will be presented. Then, this report presents the set of equations that represent the optimal control strategies, by the means of Pontryagin's maximum principle, in two different cases a vaccination policy and a combined vaccination-hospitalization policy and show a numerical simulation, with the standard forward-backward sweep procedure, for these equations.
Keywords
Cite
@article{arxiv.1712.07713,
title = {Optimal control of a probabilistic dynamic for epidemic spreading in arbitrary complex networks},
author = {Fabrizio Angaroni},
journal= {arXiv preprint arXiv:1712.07713},
year = {2017}
}
Comments
Pre-Print version 8 Pages, 10 figures