Individual based model with competition in spatial ecology
Mathematical Physics
2015-01-27 v1 Functional Analysis
math.MP
Populations and Evolution
Abstract
We analyze an interacting particle system with a Markov evolution of birth-and-death type. We have shown that a local competition mechanism (realized via a density dependent mortality) leads to a globally regular behavior of the population in course of the stochastic evolution.
Keywords
Cite
@article{arxiv.0803.3565,
title = {Individual based model with competition in spatial ecology},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy},
journal= {arXiv preprint arXiv:0803.3565},
year = {2015}
}
Comments
22 pages