Lecture Notes in Mathematics

Nåsell, Ingemar

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.

Details

Published by: Springer

Publication Date: 2011-07-06

Format: Paperback

ISBN-13: 9783642205293

DOI: 10.1007/978-3-642-20530-9

Dimensions: 235cm x155cm

Pages: 199