Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model (Mathematical Biosciences Subseries, #2022)

by Ingemar Nasell

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Book cover for Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

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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.
  • ISBN13 9783642205293
  • Publish Date 6 July 2011
  • Publish Status Active
  • Publish Country DE
  • Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition 2011
  • Format Paperback
  • Pages 199
  • Language English