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Stochastic Epidemic Models with Inference

  • Tom Britton
  • Etienne Pardoux
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2255)

Also part of the Mathematical Biosciences Subseries book sub series (LNMBIOS, volume 2255)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Stochastic Epidemics in a Homogeneous Community

    1. Front Matter
      Pages 1-3
    2. Tom Britton, Etienne Pardoux
      Pages 5-19
    3. Tom Britton, Etienne Pardoux
      Pages 21-41
    4. Tom Britton, Etienne Pardoux
      Pages 43-57
    5. Tom Britton, Etienne Pardoux
      Pages 59-95
    6. Back Matter
      Pages 97-120
  3. Stochastic SIR Epidemics in Structured Populations

    1. Front Matter
      Pages 121-123
    2. Tom Britton, Etienne Pardoux
      Pages 125-141
    3. Tom Britton, Etienne Pardoux
      Pages 143-157
    4. Tom Britton, Etienne Pardoux
      Pages 159-213
    5. Back Matter
      Pages 215-237
  4. Stochastic Epidemics in a Heterogeneous Community

    1. Front Matter
      Pages 239-242
    2. Tom Britton, Etienne Pardoux
      Pages 243-250
    3. Tom Britton, Etienne Pardoux
      Pages 251-261
    4. Tom Britton, Etienne Pardoux
      Pages 263-298
    5. Back Matter
      Pages 315-323
  5. Statistical Inference for Epidemic Processes in a Homogeneous Community

    1. Front Matter
      Pages 325-329
    2. Tom Britton, Etienne Pardoux
      Pages 331-342
    3. Tom Britton, Etienne Pardoux
      Pages 343-362
    4. Tom Britton, Etienne Pardoux
      Pages 417-446
    5. Back Matter
      Pages 447-472
  6. Back Matter
    Pages 473-474

About this book

Introduction

Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on "Stochastic models of epidemics" which took place in Ziguinchor, Senegal, December 5–16, 2015. The text is divided into four parts, each based on one of the courses given at the school: homogeneous models (Tom Britton and Etienne Pardoux), two-level mixing models (David Sirl and Frank Ball), epidemics on graphs (Viet Chi Tran), and statistics for epidemic models (Catherine Larédo).

The CIMPA school was aimed at PhD students and Post Docs in the mathematical sciences. Parts (or all) of this book can be used as the basis for traditional or individual reading courses on the topic. For this reason, examples and exercises (some with solutions) are provided throughout.

Keywords

Infectious disease Homogeneous models Two-level mixing models Epidemics on graphs statistics on epidemics models compartment models Basic reproduction number Final size of an epidemic Early stage of an epidemic outbreak Time to extinction Weak convergence Central Limit Theorem Coupling Large deviations SIR model on a configuration model random graph Household models

Editors and affiliations

  • Tom Britton
    • 1
  • Etienne Pardoux
    • 2
  1. 1.Department of MathematicsStockholm UniversityStockholmSweden
  2. 2.Institut de Mathématiques de MarseilleAix-Marseille UniversitéMarseilleFrance

Bibliographic information