Analysis, Simulation and Control of a New Measles Epidemic Model

Paolo Di Giamberardino, Daniela Iacoviello

2019

Abstract

In this paper the problem of modeling and controlling the measles epidemic spread is faced. A new model is proposed and analysed; besides the categories usually considered in measles modeling, the susceptible, the exposed, the infected, the removed and, less frequently, the quarantine individuals, two new categories are herein introduced: the immunosuppressed subjects, that can not be vaccinated, and the patients with an additional complication, not risky by itself but dangerous if caught togeter with the measles. These two novelties are taken into account in designing and scheduling suitably control actions such as vaccination, whenever possible, prevention, quarantine and treatment, when limited resources are available. An analysis of the model is developed and the optimal control strategies are compared with other not optimized actions. By using the Pontryagin principle, it is shown the prevailing role of the vaccination in guaranteeing the protection to immunosuppressed individuals, as well as the importance of a prompt response of the society when an epidemic spread occurs, such as the quarantine intervention.

Paper Citation

in Harvard Style

Di Giamberardino P. and Iacoviello D. (2019). Analysis, Simulation and Control of a New Measles Epidemic Model.In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-380-3, pages 550-559. DOI: 10.5220/0007934405500559

in Bibtex Style

@conference{icinco19,
author={Paolo Di Giamberardino and Daniela Iacoviello},
title={Analysis, Simulation and Control of a New Measles Epidemic Model},
booktitle={Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2019},
pages={550-559},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007934405500559},
isbn={978-989-758-380-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Analysis, Simulation and Control of a New Measles Epidemic Model
SN - 978-989-758-380-3
AU - Di Giamberardino P.
AU - Iacoviello D.
PY - 2019
SP - 550
EP - 559
DO - 10.5220/0007934405500559