Probabilistic Models of Population Evolution Scaling Limits, Genealogies and Interactions /

• Main Author: Pardoux, Étienne (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Mathematical Biosciences Institute Lecture Series ; 1.6
• Subjects: Mathematics.; Ecology.; Probabilities.; Biomathematics.; Mathematical and Computational Biology.; Probability Theory and Stochastic Processes.; Theoretical Ecology/Statistics.

This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of t...

Table of Contents:

• Introduction
• Branching Processes
• Convergence to a Continuous State Branching Process
• Continuous State Branching Process (CSBP)
• Genealogies
• Models of Finite Population with Interaction
• Convergence to a Continuous State Model
• Continuous Model with Interaction
• Appendix.