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Stochastic Population and Epidemic Models = Persistence and Extinction /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stochastic Population and Epidemic Models/ by Linda J. S. Allen.
Reminder of title:	Persistence and Extinction /
Author:	Allen, Linda J. S.
Description:	X, 47 p. 12 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-21554-9
ISBN:	9783319215549

Stochastic Population and Epidemic Models = Persistence and Extinction /
Allen, Linda J. S.

Stochastic Population and Epidemic ModelsPersistence and Extinction /[electronic resource] :by Linda J. S. Allen. - 1st ed. 2015. - X, 47 p. 12 illus. in color.online resource. - Stochastics in Biological Systems,1.32364-2297 ;. - Stochastics in Biological Systems,1.1.

Continuous-Time and Discrete-State Branching Processes -- Applications of Single-Type Branching Processes -- Applications of Multi-Type Branching Processes -- Continuous-Time and Continuous-State Branching Processes.-MatLaB Programs.

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 the Department of Mathematics and Statistics at Texas Tech University, USA.

ISBN: 9783319215549

Standard No.: 10.1007/978-3-319-21554-9doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Stochastic Population and Epidemic Models = Persistence and Extinction /
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