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Stability Criteria for SIS Epidemiological Models under Switching Policies

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.

preprint2014arXivOpen access
Mustapha Ait RamiVahid S. BokharaieOliver MasonFabian R. Wirth
math.OCmath.DS
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Mustapha Ait RamiVahid S. BokharaieOliver MasonFabian R. Wirth

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