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

• Κύριοι συγγραφείς: Meleard, Sylvie (Συγγραφέας), Bansaye, Vincent (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Mathematical Biosciences Institute Lecture Series ; 1.4
• Θέματα: Mathematics.; Ecology.; Probabilities.; Biomathematics.; Probability Theory and Stochastic Processes.; Genetics and Population Dynamics.; Theoretical Ecology/Statistics.

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...

Πίνακας περιεχομένων:

• 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.