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Approximation of the Quasi-stationary Distribution q of the SIS Model

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

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

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Abstract

The quasi-stationary distribution q has a central position in our study of the stochastic SIS model. We give approximations of this distribution in each of the three parameter regions in this chapter. As has been mentioned before, we actually work with two kinds of approximation of quite different type. The first type of approximation is a stationary distribution of some related process.

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Correspondence to Ingemar Nåsell .

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© 2011 Springer-Verlag Berlin Heidelberg

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Nåsell, I. (2011). Approximation of the Quasi-stationary Distribution q of 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_11

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