Rami, Mustapha Ait and Bokharaie, Vahid Samadi and Mason, Oliver and Wirth, Fabian (2014) Stability Criteria for SIS Epidemiological Models under Switching Policies. Discrete and Continuous Dynamical Systems - Series B, 19 (9). pp. 2865-2887.

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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 t he SIS model are subject to abrupt change. We show that the joint spectral radius can be used as a thresho ld 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 a nd results for a stochastic switched model.

Item Type:	Article
Keywords:	Mathematical Epidemiology; SIS Model; Compartmental Model; Switched system; Disease Propagation; Endemic Equilibrium; Positive System; Extremal Norm; Lyapunov Exponents;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	6072
Identification Number:	https://doi.org/10.3934/dcdsb.2014.19.2865
Depositing User:	Oliver Mason
Date Deposited:	23 Apr 2015 14:48
Journal or Publication Title:	Discrete and Continuous Dynamical Systems - Series B
Publisher:	American Institute of Mathematical Sciences (AIMS)
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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