Bulletin of Mathematical Biology

, Volume 44, Issue 1, pp 103–117 | Cite as

Random ecological systems with structure: Stability-complexity relationship

  • M. I. Granero-Porati
  • R. Kron-Morelli
  • A. Porati


We have numerically examined more than one million Large Complex Systems (LCS) of interacting variables (interpretable as interacting populations) governed by Generalized Lotka-Volterra Equations (GLV), with self-regulation term. The scope was to have some insight on the stability-complexity relationship.

We considered systems of prey-predator type, and we gave appropriate rules for constructing the model systems, rules that specify the behaviour of model systems in order to put them near the biological reality.

The results show, among other things, a strict correlation between the stability and the prey-predator ratio (which, in our model, uniquely determines the connectedness of the system).


Feasible System Large Complex System Feasible Sample Absurd Situation International Cooperative Publ 
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Copyright information

© Society for Mathematical Biology 1982

Authors and Affiliations

  • M. I. Granero-Porati
    • 1
  • R. Kron-Morelli
    • 1
  • A. Porati
    • 1
  1. 1.Institute of Physics, Section of Biophysics, GNCB-CNRUniversity of ParmaParmaItaly

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