Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3642205291
ISBN-13
9783642205293
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 6th, 2011
Print length
199 Pages
Product Classification:
Probability & statisticsProbability and statisticsStochasticsLife sciences: general issues
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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.
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.
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