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Mathematical Tools for Understanding Infectious Disease Dynamics (1)

Online ISBN:
9781400845620
Print ISBN:
9780691155395
Publisher:
Princeton University Press
Book

Mathematical Tools for Understanding Infectious Disease Dynamics (1)

Odo Diekmann,
Odo Diekmann
Utrecht University
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Hans Heesterbeek,
Hans Heesterbeek
Utrecht University
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Tom Britton
Tom Britton
Stockholm University
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Published:
18 November 2012
Online ISBN:
9781400845620
Print ISBN:
9780691155395
Publisher:
Princeton University Press

Abstract

Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. The book fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided. The book covers the latest research in mathematical modeling of infectious disease epidemiology; it integrates deterministic and stochastic approaches; and teaches skills in model construction, analysis, inference, and interpretation.

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