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Stochastic population and epidemic m...

Allen, Linda J.S.

Stochastic population and epidemic modelspersistence and extinction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic population and epidemic modelsby Linda J.S. Allen.
Reminder of title:	persistence and extinction /
Author:	Allen, Linda J.S.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 47 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Branching processes.
Online resource:	http://dx.doi.org/10.1007/978-3-319-21554-9
ISBN:	9783319215549$q(electronic bk.)

Stochastic population and epidemic modelspersistence and extinction /
Allen, Linda J.S.

Stochastic population and epidemic modelspersistence and extinction /[electronic resource] :by Linda J.S. Allen. - Cham :Springer International Publishing :2015. - x, 47 p. :ill., digital ;24 cm. - Mathematical biosciences institute lecture series. - Mathematical biosciences institute lecture series..

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$q(electronic bk.)

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

185802
Branching processes.

LC Class. No.: QA274.76

Dewey Class. No.: 519.234

Stochastic population and epidemic modelspersistence and extinction /
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245 1 0 $a Stochastic population and epidemic models $h [electronic resource] : $b persistence and extinction / $c by Linda J.S. Allen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 47 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical biosciences institute lecture series
505 0 $a 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.
520 $a 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.
650 0 $a Branching processes. $3 185802
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Genetics and Population Dynamics. $3 274842
650 2 4 $a Theoretical Ecology/Statistics. $3 276089
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950 $a Mathematics and Statistics (Springer-11649)