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Author Yan, Ping, M.S., author
Title Quantitative methods for investigating infectious disease outbreaks / Ping Yan, Gerardo Chowell
Imprint Cham, Switzerland : Springer, [2019]
book jacket
 Mathematics Library  RA652.2.M3 Y36 2019    AVAILABLE    30340200564312
Descript xiii, 354 pages : illustrations (some color) ; 24 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
Series Texts in applied mathematics, 0939-2475 ; volume 70
Texts in applied mathematics ; v. 70. 0939-2475
Note Includes bibliographical references (pages 335-348) and index
Introduction -- Shapes of hazard functions and lifetime distributions -- Random counts and counting processes -- Behaviors of a disease outbreak during the initial phase and the branching process approximation -- Beyond the initial phase: compartment models for disease transmission -- More complex models and control measures -- Some statistical issues -- Characterizing outbreak trajectories and the effective reproduction number -- Mechanistic models with spatial structures and reactive 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
Subject Epidemiology -- Statistical methods
Epidemiologic Methods
Epidemiology -- Statistical methods. fast (OCoLC)fst00914109
Alt Author Chowell, Gerardo, author
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