Coexistence and survival in conservative lotka-volterra networks
Knebel J, Krueger T, Weber MF, Frey E (2013)
Publication Type: Journal article
Publication year: 2013
Journal
Book Volume: 110
Article Number: 168106
Journal Issue: 16
DOI: 10.1103/PhysRevLett.110.168106
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. © 2013 American Physical Society.
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APA:
Knebel, J., Krueger, T., Weber, M.F., & Frey, E. (2013). Coexistence and survival in conservative lotka-volterra networks. Physical Review Letters, 110(16). https://doi.org/10.1103/PhysRevLett.110.168106
MLA:
Knebel, Johannes, et al. "Coexistence and survival in conservative lotka-volterra networks." Physical Review Letters 110.16 (2013).
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