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Titlebook: Stochastic Population and Epidemic Models; Persistence and Exti Linda J. S. Allen Book 2015 The Editor(s) (if applicable) and The Author(s)

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書目名稱Stochastic Population and Epidemic Models
副標題Persistence and Exti
編輯Linda J. S. Allen
視頻videohttp://file.papertrans.cn/879/878091/878091.mp4
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
叢書名稱Mathematical Biosciences Institute Lecture Series
圖書封面Titlebook: Stochastic Population and Epidemic Models; Persistence and Exti Linda J. S. Allen Book 2015 The Editor(s) (if applicable) and The Author(s)
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
關鍵詞Branching process; Extinction; Persistence; Population models; Stochastic models
版次1
doihttps://doi.org/10.1007/978-3-319-21554-9
isbn_softcover978-3-319-21553-2
isbn_ebook978-3-319-21554-9
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Mathematical Biosciences Institute Lecture Serieshttp://image.papertrans.cn/s/image/878091.jpg
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Applications of Single-Type Branching Processes,odel with susceptible, infectious, and recovered individuals in which there is only temporary immunity to reinfection. In the branching process approximation, the infectious stage is modeled by a birth and death process. Branching process theory provides an estimate for the probability of a major ou
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Applications of Multi-Type Branching Processes, depends on the number of exposed and infectious individuals. It is shown that the offspring pgfs for the exposed and infectious populations lead to an explicit formula for the probability of an outbreak.
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