00000cmm a22000004a 4500 UP-99796217611212302 Buklod 20250626152442.0 m go j cr |n |||auu|a 250626s2011 xx go j eng d 9783642205309 (eBook) 3642205305 (eBook) (iLib)UPD-00215704061 DMLR rda eng DMLUC QH 352 N37 2011eb Nêasell, Ingemar. author. Extinction and quasi-stationarity in the stochastic logistic SIS model [electronic resource] Ingemar Nêasell. Berlin London New York Springer ©2011. 1 online resource (xi, 199 p.) illustrations (some color) text rdacontent computer rdamedia online resource rdacarrier Lecture notes in mathematics Mathematical biosciences subseries 2022. 1 Introduction -- 2 Model Formulation -- 3 A Birth-Death Process with Finite State Space and with an Absorbing State at the Origin -- 4 The SIS Model: First Approximations of the Quasi-Stationary Distribution -- 5 Some Approximations Involving the Normal Distribution -- 6 Preparations for the Study of the Stationary Distribution p(1) of the SIS Model -- 7 Approximation of the Stationary Distribution p(1) of the SIS Model -- 8 Preparations for the Study of the Stationary Distribution p(0) of the SIS Model -- 9 Approximation of the Stationary Distribution p(0) of the SIS Model -- 10 Approximation of Some Images UnderY for the SIS Model -- 11 Approximation of the Quasi-Stationary Distribution q of the SIS Model -- 12 Approximation of the Time to Extinction for the SIS Model -- 13 Uniform Approximations for the SIS Model -- 14 Thresholds for the SIS Model -- 15 Concluding Comments IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink Population biology Mathematical models. Stochastic analysis. Available for University of the Philippines Diliman via SpringerLink. Click here to access https://link.springer.com/book/10.1007/978-3-642-20530-9 FO UPD DMLR QH 352 N37 2011eb Electronic Resource