Descript 
xiii, 354 pages : illustrations (some color) ; 24 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
Series 
Texts in applied mathematics, 09392475 ; volume 70


Texts in applied mathematics ; v. 70. 09392475

Note 
Includes bibliographical references (pages 335348) 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 nonnegative 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 23 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 56 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 quantitativelyoriented 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 selfstudy. 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

