Book Volume 1945 2008

Mathematical Epidemiology


ISBN: 978-3-540-78910-9 (Print) 978-3-540-78911-6 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xviii

  2. Introduction and General Framework

    1. Chapter

      Pages 3-17

      A Light Introduction to Modelling Recurrent Epidemics

    2. Chapter

      Pages 19-79

      Compartmental Models in Epidemiology

    3. Chapter

      Pages 81-130

      An Introduction to Stochastic Epidemic Models

  3. Advanced Modeling and Heterogeneities

    1. Chapter

      Pages 133-146

      An Introduction to Networks in Epidemic Modeling

    2. Chapter

      Pages 147-157

      Deterministic Compartmental Models: Extensions of Basic Models

    3. Chapter

      Pages 159-178

      Further Notes on the Basic Reproduction Number

    4. Chapter

      Pages 179-189

      Spatial Structure: Patch Models

    5. Chapter

      Pages 191-203

      Spatial Structure: Partial Differential Equations Models

    6. Chapter

      Pages 205-227

      Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology

    7. Chapter

      Pages 229-293

      Distribution Theory, Stochastic Processes and Infectious Disease Modelling

  4. Case Studies

    1. Chapter

      Pages 297-319

      The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseases

    2. Chapter

      Pages 321-347

      Modeling Influenza: Pandemics and Seasonal Epidemics

    3. Chapter

      Pages 349-364

      Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure

    4. Chapter

      Pages 365-390

      A Comparative Analysis of Models for West Nile Virus

  5. Back Matter

    Pages 391-412