<電子ブック>
Quantitative Methods for Investigating Infectious Disease Outbreaks / by Ping Yan, Gerardo Chowell
(Texts in Applied Mathematics. ISSN:21969949 ; 70)
版 | 1st ed. 2019. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2019 |
大きさ | XIII, 354 p. 104 illus., 93 illus. in color : online resource |
著者標目 | *Yan, Ping author Chowell, Gerardo author SpringerLink (Online service) |
件 名 | LCSH:Geography—Mathematics LCSH:Mathematical models LCSH:Biomathematics LCSH:Diseases LCSH:Epidemiology FREE:Mathematics of Planet Earth FREE:Mathematical Modeling and Industrial Mathematics FREE:Mathematical and Computational Biology FREE:Diseases FREE:Epidemiology |
一般注記 | Introduction -- Shapes of hazard functions and lifetime distributions -- Random counts and counting processes -- The initial phase of an outbreak -- Compartment models -- More complex models and control measures -- Some statistical issues -- Outbreak trajectories -- Spatial structures and behavior change This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives. The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively. This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study. This text could be used in graduate schools or special summer schools covering research problems in mathematical biology HTTP:URL=https://doi.org/10.1007/978-3-030-21923-9 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783030219239 |
|
電子リソース |
|
EB00199272 |
類似資料
この資料の利用統計
このページへのアクセス回数:1回
※2017年9月4日以降