Population Uncertainty in Model Ecosystem: Analysis by Stochastic Differential Equation
Populations and Evolution
2012-07-20 v1 Quantitative Methods
Abstract
Perturbation experiments are carried out by contact process and its mean-field version. Here, the mortality rate is increased or decreased suddenly. It is known that the fluctuation enhancement (FE) occurs after the perturbation, where FE means a population uncertainty. In the present paper, we develop a new theory of stochastic differential equation. The agreement between the theory and the mean-field simulation is almost perfect. This theory enables us to find much stronger FE than reported previously. We discuss the population uncertainty in the recovering process of endangered species.
Cite
@article{arxiv.0807.0673,
title = {Population Uncertainty in Model Ecosystem: Analysis by Stochastic Differential Equation},
author = {Satoru Morita and Kei-ichi Tainaka and Hiroyasu Nagata and Jin Yoshimura},
journal= {arXiv preprint arXiv:0807.0673},
year = {2012}
}
Comments
16 pages, 4 figure, submitted to J. Phys. Soc. Jpn