A multi-scale study of a class of hybrid predator-prey models
Probability
2014-09-02 v1
Abstract
We address the question of an averaging principle for a general class of multi-scale hybrid predator-prey models. We consider prey-predator models where the kinetic of the prey population, described by a differential equation, is faster than the kinetic of the predator population, described by a jump process, the two dynamics being fully coupled. An averaged model is obtained and compared to the original slow-fast system in term of probability and absorption time.
Keywords
Cite
@article{arxiv.1409.0376,
title = {A multi-scale study of a class of hybrid predator-prey models},
author = {Alexandre Genadot},
journal= {arXiv preprint arXiv:1409.0376},
year = {2014}
}
Comments
9 pages