This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics
Epidemics: Models and Data using R
✍ Scribed by Ottar N. Bjørnstad
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 318
- Series
- Use R!
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in ‘consumer-resource metapopulations’. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data using R have been organized in a reasonably logical way: Chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; Chapters 11-13 pertains to spatial and spatiotemporal dynamics; Chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, Chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time.
✦ Table of Contents
Front Matter ....Pages i-xiii
Introduction (Ottar N. Bjørnstad)....Pages 1-8
SIR (Ottar N. Bjørnstad)....Pages 9-30
R0 (Ottar N. Bjørnstad)....Pages 31-56
FoI and Age-Dependent Incidence (Ottar N. Bjørnstad)....Pages 57-80
Seasonality (Ottar N. Bjørnstad)....Pages 81-94
Time-Series Analysis (Ottar N. Bjørnstad)....Pages 95-115
TSIR (Ottar N. Bjørnstad)....Pages 117-136
Trajectory Matching (Ottar N. Bjørnstad)....Pages 137-157
Stability and Resonant Periodicity (Ottar N. Bjørnstad)....Pages 159-178
Exotica (Ottar N. Bjørnstad)....Pages 179-208
Spatial Dynamics (Ottar N. Bjørnstad)....Pages 209-226
Transmission on Networks (Ottar N. Bjørnstad)....Pages 227-239
Spatial and Spatiotemporal Patterns (Ottar N. Bjørnstad)....Pages 241-253
Parasitoids (Ottar N. Bjørnstad)....Pages 255-265
Non-independent Data (Ottar N. Bjørnstad)....Pages 267-281
Quantifying In-Host Patterns (Ottar N. Bjørnstad)....Pages 283-295
Back Matter ....Pages 297-312
✦ Subjects
Statistics; Statistics for Life Sciences, Medicine, Health Sciences; Epidemiology; Infectious Diseases
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