Coexistence and Survival in Conservative Lotka-Volterra Networks

Knebel, Johannes; Krüger, Torben; Weber, Markus F. and Frey, Erwin (April 2013): Coexistence and Survival in Conservative Lotka-Volterra Networks. In: Physical Review Letters, Vol. 110, No. 16: pp. 168106-1

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.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 0031-9007
• Place of Publication: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
• Language: English