Stochastic population and epidemic models [electronic resource] : persistence and extinction / Linda J. S. Allen.
Allen, Linda J. S., author.
2015
QA274.76
Available Online

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Title Stochastic population and epidemic models [electronic resource] : persistence and extinction / Linda J. S. Allen.
Author Allen, Linda J. S., author.
ISBN 9783319215549 electronic book
331921554X electronic book
9783319215532
DOI https://doi.org/10.1007/978-3-319-21554-9
Published Cham : Springer, 2015.
Language English
Description 1 online resource (x, 47 pages) : color illustrations.
Item Number 10.1007/978-3-319-21554-9 doi
Call Number QA274.76
Dewey Decimal Classification 519.2/34
Summary 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℗ℓ 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 27, 2015).
Series Mathematical Biosciences Institute lecture series ; volume 1.3.
Available in Other Form Print version: 9783319215532
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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.

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