Stochastic population and epidemic models : persistence and extinction
著者
書誌事項
Stochastic population and epidemic models : persistence and extinction
（Mathematical Biosciences Institute lecture series, v. 1.3 . Stochastics in biological systems）
Springer, c2015
大学図書館所蔵 件 / 全3件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
Includes bibliographical references (p. 45-46) and index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より