株式会社極東書店トップ ＞ 商品一覧 ＞ Stochastic Population and Epidemic Models : Persistence and Extinction. 1st ed. 2015.
商品詳細
Stochastic Population and Epidemic Models : Persistence and Extinction. 1st ed. 2015.
・ISBN 978-3-319-21553-2 paper EUR 39.99
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| 著者・編者 | Allen, Linda J. S., |
|---|---|
| シリーズ | Mathematical Biosciences Institute Lecture Series |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2015 |
| ページ数 | 47 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22345＞ |
解説
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.