Stability Criteria for SIS Epidemiological Models under Switching Policies
Dynamical Systems
2014-04-21 v2 Optimization and Control
Abstract
We study the spread of disease in an SIS model. The model considered is a time-varying, switched model, in which the parameters of the SIS model are subject to abrupt change. We show that the joint spectral radius can be used as a threshold parameter for this model in the spirit of the basic reproduction number for time-invariant models. We also present conditions for persistence and the existence of periodic orbits for the switched model and results for a stochastic switched model.
Keywords
Cite
@article{arxiv.1306.0135,
title = {Stability Criteria for SIS Epidemiological Models under Switching Policies},
author = {Mustapha Ait Rami and Vahid S. Bokharaie and Oliver Mason and Fabian R. Wirth},
journal= {arXiv preprint arXiv:1306.0135},
year = {2014}
}