Linda J. S. Allen

Stochastic Population and Epidemic Models

Persistence and Extinction

Ebook (PDF Format)

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 application… Mehr

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Produktdetails

ISBN: 978-3-319-21554-9
EAN: 9783319215549
Produktnummer: 18855100
Verlag: Springer
Sprache: Englisch
Erscheinungsjahr: 2015
Plattform: PDF
Masse: 1'262 KB

Über den Autor

Linda J. S. Allen is a Professor in the Department of Mathematics and Statistics at Texas Tech University. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral and immune-system dynamics.