Quantitative Methods for Investigating Infectious Disease Outbreaks (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Texts in Applied Mathematics, 70
Release date:	August 2020
First published:	2019
Authors:	Ping Yan • Gerardo Chowell
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	354
Edition:	1st ed. 2019
ISBN-13:	978-3-03-021925-3
Categories:	Books > Medicine > General issues > Public health & preventive medicine > Epidemiology & medical statistics Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Medicine > Clinical & internal medicine > Diseases & disorders > Infectious & contagious diseases > General Promotions
LSN:	3-03-021925-9
Barcode:	9783030219253

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