Coexistence and survival in conservative lotka-volterra networks

Knebel J, Krueger T, Weber MF, Frey E (2013)

Publication Type: Journal article

Publication year: 2013


Book Volume: 110

Article Number: 168106

Journal Issue: 16

DOI: 10.1103/PhysRevLett.110.168106


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. © 2013 American Physical Society.

Authors with CRIS profile

Involved external institutions

How to cite


Knebel, J., Krueger, T., Weber, M.F., & Frey, E. (2013). Coexistence and survival in conservative lotka-volterra networks. Physical Review Letters, 110(16).


Knebel, Johannes, et al. "Coexistence and survival in conservative lotka-volterra networks." Physical Review Letters 110.16 (2013).

BibTeX: Download