| Autor: |
Rami, Mustapha Ait, Bokharaie, Vahid S., Mason, Oliver, Wirth, Fabian R. |
| Rok vydání: |
2013 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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