Stochastic Models for Structured Populations Scaling Limits and Long Time Behavior /

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by m...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Meleard, Sylvie (Autor), Bansaye, Vincent (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Stochastics in Biological Systems, 1.4
Temas:
Probabilities.
Population genetics.
Ecology .
Probability Theory.
Population Genetics.
Theoretical and Statistical Ecology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Discrete Monotype Population Models and One-dimensional Stochastic Differential Equations
  • Birth and Death Processes
  • Scaling Limits for Birth and Death Processes
  • Continuous State Branching Processes
  • Feller Diffusion with Random Catastrophes
  • Structured Populations and Measure-valued Stochastic Differential Equations
  • Population Point Measure Processes
  • Scaling limits for the individual-based process
  • Splitting Feller Diffusion for Cell Division with Parasite Infection
  • Markov Processes along Continuous Time Galton-Watson Trees
  • Appendix.

Ejemplares similares