We show that the Adomian decomposition method, the time--series expansion, the homotopy--perturbation method, and the variational--iteration method completely fail to provide a reasonable description of the dynamics of the simplest prey--predator system.
Cite
@article{arxiv.0806.0263,
title = {On Some Perturbation Approaches to Population Dynamics},
author = {Francisco M. Fernandez},
journal= {arXiv preprint arXiv:0806.0263},
year = {2008}
}