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Uniform Approximations for the SIS Model

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Part of the Lecture Notes in Mathematics book series (LNMBIOS,volume 2022)

Abstract

Our main concern in this monograph is with the quasi-stationary distribution and the time to extinction for the stochastic logistic SIS model. Explicit expressions are not available for these quantities. Furthermore, they behave in qualitatively different ways in three different parameter regions.

Keywords

  • Transition Region
  • Stationary Distribution
  • Continuous Transition
  • Small Magnitude
  • Asymptotic Approximation

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Correspondence to Ingemar Nåsell .

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© 2011 Springer-Verlag Berlin Heidelberg

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Nåsell, I. (2011). Uniform Approximations for the SIS Model. In: Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model. Lecture Notes in Mathematics(), vol 2022. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20530-9_13

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