A Mean Field Approximation of the Bolker-Pacala Population Model
Probability
2013-12-13 v2
Abstract
We approximate the Bolker-Pacala model of population dynamics with the logistic Markov chain and analyze the latter. We find the asymptotics of the degenerated hypergeometric function and use these to prove a local CLT and large deviations result. We also state global limit theorems and obtain asymptotics for the first passage time to the boundary of a large interval.
Keywords
Cite
@article{arxiv.1302.1169,
title = {A Mean Field Approximation of the Bolker-Pacala Population Model},
author = {Mariya Bessonov and Stanislav Molchanov and Joseph Whitmeyer},
journal= {arXiv preprint arXiv:1302.1169},
year = {2013}
}