Epidemics

1. Front Matter

   Pages i-xiii

   PDF

2. Introduction

   • Ottar N. Bjørnstad

   Pages 1-8

3. SIR

   • Ottar N. Bjørnstad

   Pages 9-30

4. R ₀

   • Ottar N. Bjørnstad

   Pages 31-56

5. FoI and Age-Dependent Incidence

   • Ottar N. Bjørnstad

   Pages 57-80

6. Seasonality

   • Ottar N. Bjørnstad

   Pages 81-94

7. Time-Series Analysis

   • Ottar N. Bjørnstad

   Pages 95-115

8. TSIR

   • Ottar N. Bjørnstad

   Pages 117-136

9. Trajectory Matching

   • Ottar N. Bjørnstad

   Pages 137-157

10. Stability and Resonant Periodicity

    • Ottar N. Bjørnstad

    Pages 159-178

11. Exotica

    • Ottar N. Bjørnstad

    Pages 179-208

12. Spatial Dynamics

    • Ottar N. Bjørnstad

    Pages 209-226

13. Transmission on Networks

    • Ottar N. Bjørnstad

    Pages 227-239

14. Spatial and Spatiotemporal Patterns

    • Ottar N. Bjørnstad

    Pages 241-253

15. Parasitoids

    • Ottar N. Bjørnstad

    Pages 255-265

16. Non-independent Data

    • Ottar N. Bjørnstad

    Pages 267-281

17. Quantifying In-Host Patterns

    • Ottar N. Bjørnstad

    Pages 283-295

18. Back Matter

    Pages 297-312

    PDF

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.

• Infectious Disease Dynamics
• Epidemics
• Disease Modelling
• Public Health Analysis
• Contagions
• Nonlinear Dynamical Systems
• SEIR Compartmental Models
• Recurent Epidemics
• Time Series Analysis
• Epidemiology
• Endemicity
• infectious diseases

• Center for Infectious Disease Dynamics, Pensylvania State University, University Park, USA

  Ottar N. Bjørnstad

Dr. Ottar Bjornstad researches population dynamics of epidemiological and ecological outbreaks. Focal systems includes human infections like measles, whooping cough, rubella and influenza; animal infections like rabies, hantavirus and distemper; and outbreaks of various insects of biomedical and agricultural concern. He has expertise in statistical and computational approaches to the study of spatiotemporal dynamics, including the development of a suite of statistical methods for the analysis of spatial and temporal data as implemented in various R-packages. His expertise has been used in an advisory capacity for outbreak control and mitigation by the USDA forest Service, the NIH Fogarty International Centre and the Bill and Melinda Gates Foundation. Dr. Bjornstad is a Distinguished Professor of Entomology and Biology and holds the J. Lloyd & Dorothy Foehr Huck Chair of Epidemiology at the Pennsylvania State University.

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