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Branching Processes and Their Applications

  • Inés M. del Puerto
  • Miguel González
  • Cristina Gutiérrez
  • Rodrigo Martínez
  • Carmen Minuesa
  • Manuel Molina
  • Manuel Mota
  • Alfonso Ramos

Part of the Lecture Notes in Statistics book series (LNS, volume 219)

Also part of the Lecture Notes in Statistics - Proceedings book sub series (LNSP, volume 219)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Coalescent Branching Processes

    1. Front Matter
      Pages 1-1
    2. Krishna B. Athreya
      Pages 3-22
    3. Robert C. Griffiths
      Pages 23-37
  3. Branching Random Walks

    1. Front Matter
      Pages 39-39
  4. Population Growth Models in Varying and Random Environments

  5. Size/Density/Resource-Dependent Branching Models

  6. Age-Dependent Branching Models

    1. Front Matter
      Pages 149-149
    2. Ollivier Hyrien, Kosto V. Mitov, Nikolay M. Yanev
      Pages 151-166
  7. Special Branching Models

    1. Front Matter
      Pages 183-183
    2. Miguel González, Cristina Gutiérrez, Rodrigo Martínez, Carmen Minuesa, Inés M. del Puerto
      Pages 185-205
    3. Uwe Roesler
      Pages 219-236
    4. Serik Sagitov, Alexey Lindo
      Pages 237-254
  8. Applications in Epidemiology

    1. Front Matter
      Pages 255-255
    2. Frank Ball, Miguel González, Rodrigo Martínez, Maroussia Slavtchova-Bojkova
      Pages 257-267
  9. Applications in Biology and Genetics

    1. Front Matter
      Pages 285-285
    2. Miguel González, Cristina Gutiérrez, Rodrigo Martínez, Manuel Mota
      Pages 287-305
  10. Back Matter
    Pages 331-332

About this book

Introduction

This volume gathers papers originally presented at the 3rd Workshop on Branching Processes and their Applications (WBPA15), which was held from 7 to 10 April 2015 in Badajoz, Spain (http://branching.unex.es/wbpa15/index.htm). The papers address a broad range of theoretical and practical aspects of branching process theory. Further, they amply demonstrate that the theoretical research in this area remains vital and topical, as well as the relevance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Biology, Genetics, and, of course, Population Dynamics.

The topics covered can broadly be classified into the following areas:

1. Coalescent Branching Processes

2. Branching Random Walks

3. Population Growth Models in Varying and Random Environments

4. Size/Density/Resource-Dependent Branching Models

5. Age-Dependent Branching Models

6. Special Branching Models

7. Applications in Epidemiology

8. Applications in Biology and Genetics

Offering a valuable reference guide to contemporary branching process theory, the book also explores many open problems, paving the way for future research.

Keywords

branching processes coalescence models limit theorems population growth models random trees epidemiology cell populations 60J80; 60J85

Editors and affiliations

  • Inés M. del Puerto
    • 1
  • Miguel González
    • 2
  • Cristina Gutiérrez
    • 3
  • Rodrigo Martínez
    • 4
  • Carmen Minuesa
    • 5
  • Manuel Molina
    • 6
  • Manuel Mota
    • 7
  • Alfonso Ramos
    • 8
  1. 1.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  2. 2.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  3. 3.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  4. 4.Departamento de Matemáticas Centro Universitario de PlasenciaUniversidad de ExtremaduraPlasenciaSpain
  5. 5.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  6. 6.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  7. 7.Departamento de Matemáticas Facultad de CienciasUniversidad de ExtremaduraBadajozSpain
  8. 8.Departamento de Matemáticas Facultad de VeterinariaUniversidad de ExtremaduraCáceresSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-31641-3
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-31639-0
  • Online ISBN 978-3-319-31641-3
  • Series Print ISSN 0930-0325
  • Series Online ISSN 2197-7186
  • Buy this book on publisher's site
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