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arXiv · 1306.0135

Stability Criteria for SIS Epidemiological Models under Switching Policies

Mustapha Ait Rami·Vahid S. Bokharaie·Oliver Mason·Fabian R. Wirth
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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.

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Mustapha Ait Rami, Vahid S. Bokharaie, Oliver Mason, Fabian R. Wirth. 2013-06-01. Stability Criteria for SIS Epidemiological Models under Switching Policies. https://arxiv.org/abs/1306.0135

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