Branching Processes and Their Applications

This volume gathers papers originally presented at the 3^rd 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.

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

• Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

  Inés M. del Puerto, Miguel González, Cristina Gutiérrez, Carmen Minuesa, Manuel Molina, Manuel Mota

• Departamento de Matemáticas Centro Universitario de Plasencia, Universidad de Extremadura, Plasencia, Spain

  Rodrigo Martínez

• Departamento de Matemáticas Facultad de Veterinaria, Universidad de Extremadura, Cáceres, Spain

  Alfonso Ramos

The Editors of this volume are members of the Department of Mathematics at the University of Extremadura in Spain. They constitute a research group whose interests include the study of the probabilistic and inferential theory of branching processes as well as their applications. Their research has been mainly focused on the development of two-sex branching models and controlled branching processes, and their applications in population dynamics and genetics, as well as on the study of continuous-time branching models in an epidemiological context. They have published around one hundred of papers in this field and have supervised several doctoral theses. Furthermore, they have organized three international workshops on Branching Processes and their Applications, and have participated in a large number of conferences all over the world.

Policies and ethics