期刊
PHYSICAL REVIEW LETTERS
卷 110, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.168106
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资金
- Deutsche Forschungsgemeinschaft [SFB TR 12]
- German Excellence Initiative via the program Nanosystems Initiative Munich (NIM)
- Studienstiftung des Deutschen Volkes
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. DOI: 10.1103/PhysRevLett.110.168106
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