Stochastic fluctuations in selection model based on evolutionary game theory

Speaker(s)

Jan Zakrzewski

Affiliation

Uniwersytet Warszawski

Date

April 22, 2009, 4:15 p.m.

Room

room 5840

Seminar

Seminar of Biomathematics and Game Theory Group

---

We will investigate frequency-dependent selection model (with one locus, two alleles, two phenotypes and finite population) based on evolutionary game theory. Next we will include stochastic fluctuations in the model, and convert deterministic equation into the master equation. The master equation will be approximated with Fokker-Planck equation, which we will use to predict mean and variance of both allele and phenotypic frequency. Based on Y. Tao, R. Cressman, B. Zhang, and X. Zheng Theoretical and Population Biology 74 (2008) 263-272

---