Stochastic Population and Epidemic Models

Persistence and Extinction

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Éditeur :

Springer


Collection :

Mathematical Biosciences Institute Lecture Series

Paru le : 2015-08-20



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Description

This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix.
These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA.
Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in theDepartment of Mathematics and Statistics at Texas Tech University, USA.
Pages
47 pages
Collection
Mathematical Biosciences Institute Lecture Series
Parution
2015-08-20
Marque
Springer
EAN papier
9783319215532
EAN PDF
9783319215549

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
4
Taille du fichier
1260 Ko
Prix
39,43 €
EAN EPUB
9783319215549

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
4
Taille du fichier
717 Ko
Prix
39,43 €