eBook

Mathematical tools for understanding infectious disease dynamics

Britton, Tom, Diekmann, Odo, Heesterbeek, Hans

2013

Overview

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. Mathematical Tools for Understanding Infectious Disease Dynamicsfully 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. Covers the latest research in mathematical modeling of infectious disease epidemiologyIntegrates deterministic and stochastic approachesTeaches skills in model construction, analysis, inference, and interpretationFeatures numerous exercises and their detailed elaborationsMotivated by real-world applications throughout

• Publisher: Princeton University Press
• Subject: Addition / Almost surely / Applied / Approximation / Basic reproduction number / Binomial distribution / Biological Sciences / Biology / Birth rate / Branching process / Calculation / Communicable diseases / Communicable diseases -- Mathematical models / Computation / Congresses / Contact process (mathematics) / Continuous-time Markov chain / Demography / Differential equation / Disease / Eigenvalues and eigenvectors / Elaboration / Epidemic / Epidemic model / Epidemiology / Epidemiology -- Mathematical models / Epidemiology -- Mathematical models -- Congresses / Equation / Ergodic theory / Estimation / Estimator / Expected value / Exponential distribution / Exponential function / Exponential growth / Force of infection / Health Sciences / Infectious Diseases / Infectious period / Infectivity / Inference / Ingredient / Initial condition / Law of mass action / Life expectancy / Life Sciences / Likelihood function / Linearization / Markov chain / Markov property / matematik / Mathematical models / Mathematics / MATHEMATICS / Applied / MATHEMATICS / Applied. bisacsh / Medical / MEDICAL / Clinical Medicine / MEDICAL / Infectious Diseases. bisacsh / MJCJ / Monotonic function / Mortality rate / Next-generation matrix / Normal distribution / Notation / Ordinary differential equation / Parameter / Parasite load / PBW / PBWH / Poisson distribution / Poisson point process / Population dynamics / Prevalence / Probability / Probability distribution / Proportionality (mathematics) / Quantity / Random variable / SCIENCE / SCIENCE / Life Sciences / Biology / SCIENCE / Life Sciences / Biology / General. bisacsh / Scientific notation / Sign (mathematics) / Special case / Standard deviation / Statistical population / Stochastic / Stochastic calculus / Stochastic process / Subset / Summation / Symptom / Theory / Vaccination / Variance
• ISBN: 0691155399, 1400845629, 9781400845620, 9780691155395