Mathematical Tools for Understanding Infectious Disease Dynamics
Odo Diekmann, Hans Heesterbeek, and Tom Britton
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 ... More
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.
Keywords:
mathematical modeling,
infectious diseases,
epidemiology,
mathematical reasoning,
biological interpretation,
model construction
Bibliographic Information
| Print publication date: 2012 |
Print ISBN-13: 9780691155395 |
| Published to Princeton Scholarship Online: October 2017 |
DOI:10.23943/princeton/9780691155395.001.0001 |
Authors
Affiliations are at time of print publication.
Odo Diekmann, author
Utrecht University
Hans Heesterbeek, author
Utrecht University
Tom Britton, author
Stockholm University
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