portada Stochastic Population and Epidemic Models: Persistence and Extinction (en Inglés)

Stochastic Population and Epidemic Models: Persistence and Extinction (en Inglés)

Formato

Libro Físico

Autor

Linda J. S. Allen

Editorial

Springer

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

23.1x15.4x0.4 cm

Peso

0.14 kg.

ISBN13

9783319215532

N° edición

Categorías

Probabilidad y estadística
Matemáticas aplicadas
Ecología, la biosfera

Stochastic Population and Epidemic Models: Persistence and Extinction (en Inglés)

Linda J. S. Allen (Autor) · Springer · Tapa Blanda

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Reseña del libro "Stochastic Population and Epidemic Models: Persistence and Extinction (en Inglés)"

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.