Branching Processes for Population Dynamics

Erscheinungsjahr 2027
ISBN: 978-3-032-37522-3
Verlag: Springer

Buch, Englisch, 93 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Lecture Notes on Mathematical Modelling in the Life Sciences

offers a modern introduction to branching processes and modeling for life sciences. Beginning with the classical Galton–Watson model, it extends to random environment and focus then on structured populations, where individuals may have different biological characteristics. It develops in particular the spinal point of view for the study of structured branching processes. Using martingales and Markov chains, this approach allows to describe typical lineages and the long-time behavior of population-level trait evolution. The final chapter develops large population limits, showing how processes converge to deterministic models like PDEs, linking individual-based model to macroscopic systems.

Zielgruppe

Research

Autoren/Hrsg.

Bansaye, Vincent

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Bioinformatik
• Mathematik | Informatik Mathematik Stochastik
• Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie

Inhaltsverzeichnis

1 Galton-Watson Tree.- 2 Structured Populations: The Neutral Case.- 3 Branching process for structured populations.- 4 Large Population Approximation.

Über Autor(innen)

Vincent Bansaye is a Professor at Ecole polytechnique in France and is a specialist of branching processes and stochastic modeling for life sciences.