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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...
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Stochastic models for structured populations : scaling limits and long time behavior / Vincent Bansaye, Sylvie Méléard |
| Publié : |
Cham :
Springer
, copyright 2015 |
| Description matérielle : | 1 vol. (X-107 p.) |
| Collection : | Mathematical Biosciences Institute Lecture Series. Stochastics in biological systems (Print) ; 1.4 |
| Sujets : |
- Introduction
- Part 1 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
- Part 2 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