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Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model Cover Image E-book E-book

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model [electronic resource] / by Ingemar Nåsell.

Record details

  • ISBN: 9783642205309
  • Physical Description: XI, 199 p. 10 illus. in color. online resource.
  • Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2011.
Subject: Mathematics.
Life sciences.
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Life Sciences, general.

Electronic resources


Introduction
Model formulation
Stochastic process background
The SIS model: first approximations of the quasi-stationary distribution
Some approximations involving the normal distribution
Preparations for the study of the stationary distribution p¹ of the SIS model
Approximation of the stationary distribution p¹ of the SIS model
Preparations of the stationary distribution p⁰ of the SIS model
Approximation of the stationary distribution of p⁰ of the SIS model
Approximation of some images under [psi] for the SIS model
Approximation of the quasi-stationary distribution q of the SIS model
Approximation of the time to extinction for the SIS model
Uniform approximations for the SIS model
Thresholds for the SIS model
Concluding comments
Notation
A maple module for numerical evaluations.

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