Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
Buch
Titel:
Extinction and quasi-stationarity in the stochastic logistic SIS model
Enthält:
IntroductionModel 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 p⁰ of the SIS model -- Approximation of the stationary distribution of p⁰ 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.
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 p⁰ of the SIS model -- Approximation of the stationary distribution of p⁰ 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.
Beschreibung:
"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. Qualitatively different approximations are derived separately in three different parameter region, 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."--P. [4] of cover