Coexistence and Survival in Conservative Lotka-Volterra Networks
Populations and Evolution
2013-04-26 v1 Statistical Mechanics
Abstract
Analyzing coexistence and survival scenarios of Lotka-Volterra (LV) networks in which the total biomass is conserved is of vital importance for the characterization of long-term dynamics of ecological communities. Here, we introduce a classification scheme for coexistence scenarios in these conservative LV models and quantify the extinction process by employing the Pfaffian of the network's interaction matrix. We illustrate our findings on global stability properties for general systems of four and five species and find a generalized scaling law for the extinction time.
Keywords
Cite
@article{arxiv.1303.7116,
title = {Coexistence and Survival in Conservative Lotka-Volterra Networks},
author = {Johannes Knebel and Torben Krüger and Markus F. Weber and Erwin Frey},
journal= {arXiv preprint arXiv:1303.7116},
year = {2013}
}
Comments
5 pages, 3 figures