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Rami, Mustapha Ait, Bokharaie, Vahid Samadi, 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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/6072 |
| 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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