| 书目名称 | Stochastic Population and Epidemic Models |
| 副标题 | Persistence and Exti |
| 编辑 | Linda J. S. Allen |
| 视频video | |
| 概述 | Summarizes basic theory of branching processes for single-type and multi-type processes.Includes classic examples of population and epidemic models.MATLAB codes to simulate stochastic sample paths pro |
| 丛书名称 | Mathematical Biosciences Institute Lecture Series |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2015 |
| 关键词 | Branching process; Extinction; Persistence; Population models; Stochastic models |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-21554-9 |
| isbn_softcover | 978-3-319-21553-2 |
| isbn_ebook | 978-3-319-21554-9 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:24:38
