<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://beta.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Coexistence and Survival in Conservative Lotka-Volterra Networks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Journal 19 Apr 2013Embargo end date: 01 Jan 2013 Germany Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 110 (issn: 0031-9007, eissn: 1079-7114,

Authors: Knebel, Johannes; Krüger, Torben; Weber, Markus F.; Frey, Erwin;

doi: 10.1103/physrevlett.110.168106 , 10.48550/arxiv.1303.7116

pmid: 23679644

arXiv: 1303.7116

Coexistence and Survival in Conservative Lotka-Volterra Networks

- Summary
- Subjects
- Metrics

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.

5 pages, 3 figures

Country

Germany

Related Organizations

Ludwig-Maximilians-Universität München
Germany

Keywords

Statistical Mechanics (cond-mat.stat-mech), ddc:530, Population Dynamics, Populations and Evolution (q-bio.PE), FOS: Physical sciences, Extinction, Biological, Models, Biological, Physik, FOS: Biological sciences, Biomass, Quantitative Biology - Populations and Evolution, Condensed Matter - Statistical Mechanics, Ecosystem

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	71
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%