Introductory Lectures on Stochastic Population Systems

TL;DR

This paper reviews fundamental stochastic population models such as branching processes, population genetics, and measure-valued models like superprocesses and Fleming-Viot processes, along with analysis methods.

Contribution

It offers a comprehensive introduction to stochastic population models and their analytical techniques, bridging basic models and advanced measure-valued processes.

Findings

Provides foundational understanding of stochastic population models.

Introduces measure-valued models like superprocesses and Fleming-Viot processes.

Summarizes key analytical methods for these models.

Abstract

These notes provide a review of basic stochastic population models including branching processes and models of population genetics. Measure-valued population models including superprocesses and Fleming-Viot processes are also introduced together some basic methods for their analysis.