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.
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| Subject: | Mathematics. Life sciences. Distribution (Probability theory). Mathematics. Probability Theory and Stochastic Processes. Life Sciences, general. |
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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 pâ° of the SIS model | ||
| Approximation of the stationary distribution of pâ° 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. |