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Stochastic population and epidemic m...

Allen, Linda J.S.

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Stochastic population and epidemic models = persistence and extinction /

Record Type:	Electronic resources : 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.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	x, 47 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Branching processes. -
Online resource:	http://dx.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. - 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

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

646787
Branching processes.

LC Class. No.: QA274.76

Dewey Class. No.: 519.234

Stochastic population and epidemic models = persistence and extinction /
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100 1 $a Allen, Linda J.S. $3 2160321
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 646787
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Genetics and Population Dynamics. $3 896052
650 2 4 $a Theoretical Ecology/Statistics. $3 900862
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830 0 $a Mathematical biosciences institute lecture series. $3 2160322
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21554-9
950 $a Mathematics and Statistics (Springer-11649)