Models of population dynamics under the influence of external perturbations: mathematical results
Analysis of PDEs
2010-06-15 v1 Dynamical Systems
Abstract
In this Note, we describe the stationary equilibria and the asymptotic behaviour of an heterogeneous logistic reaction-diffusion equation under the influence of autonomous or time-periodic forcing terms. We show that the study of the asymptotic behaviour in the time-periodic forcing case can be reduced to the autonomous one, the last one being described in function of the "size" of the external perturbation. Our results can be interpreted in terms of maximal sustainable yields from populations. We briefly discuss this last aspect through a numerical computation.
Keywords
Cite
@article{arxiv.1006.2574,
title = {Models of population dynamics under the influence of external perturbations: mathematical results},
author = {Mickaël D. Chekroun and Lionel Roques},
journal= {arXiv preprint arXiv:1006.2574},
year = {2010}
}