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  Stability criteria for SIS epidemiological models under switching policies

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0001-2756-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0005-E606-1
Genre: Journal Article

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http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10299 (Publisher version)
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 Creators:
Rami, MA, Author
Bokharaie, VS1, Author           
Mason, O, Author
Wirth, FR, Author
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1External Organizations, ou_persistent22              

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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 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.

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 Dates: 2014-11
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: DOI: 10.3934/dcdsb.2014.19.2865
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Title: Discrete and Continuous Dynamical Systems: Series B
Source Genre: Journal
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Publ. Info: American Institute of Mathematical Sciences
Pages: - Volume / Issue: 19 (9) Sequence Number: - Start / End Page: 2865 - 2887 Identifier: ISSN: 1531-3492