Extinction and quasi-stationarity in the stochastic logistic SIS model

This volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then comb...

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Detalles Bibliográficos
Autor principal: Nåsell, Ingemar
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-20530-9
http://cds.cern.ch/record/1691781
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author Nåsell, Ingemar
author_facet Nåsell, Ingemar
author_sort Nåsell, Ingemar
collection CERN
description This volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-16917812021-04-21T21:07:07Zdoi:10.1007/978-3-642-20530-9http://cds.cern.ch/record/1691781engNåsell, IngemarExtinction and quasi-stationarity in the stochastic logistic SIS modelMathematical Physics and MathematicsThis volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N.Springeroai:cds.cern.ch:16917812011
spellingShingle Mathematical Physics and Mathematics
Nåsell, Ingemar
Extinction and quasi-stationarity in the stochastic logistic SIS model
title Extinction and quasi-stationarity in the stochastic logistic SIS model
title_full Extinction and quasi-stationarity in the stochastic logistic SIS model
title_fullStr Extinction and quasi-stationarity in the stochastic logistic SIS model
title_full_unstemmed Extinction and quasi-stationarity in the stochastic logistic SIS model
title_short Extinction and quasi-stationarity in the stochastic logistic SIS model
title_sort extinction and quasi-stationarity in the stochastic logistic sis model
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-20530-9
http://cds.cern.ch/record/1691781
work_keys_str_mv AT nasellingemar extinctionandquasistationarityinthestochasticlogisticsismodel

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