Stability criteria for SIS epidemiological models under switching policies

Rami, MA; Bokharaie, VS; Mason, O; Wirth, FR

doi:10.3934/dcdsb.2014.19.2865

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Stability criteria for SIS epidemiological models under switching policies

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Rami, M., Bokharaie, V., Mason, O., & Wirth, F. (2014). Stability criteria for SIS epidemiological models under switching policies. Discrete and Continuous Dynamical Systems: Series B, 19(9), 2865-2887. doi:10.3934/dcdsb.2014.19.2865.

Cite as: https://hdl.handle.net/21.11116/0000-0001-2756-3

Abstract

We study the spread of disease in an SIS model for a structured population. 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.