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Random ecological systems with structure: Stability-complexity relationship

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Abstract

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).

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Authors and Affiliations

  1. Institute of Physics, Section of Biophysics, GNCB-CNR, University of Parma, 43100, Parma, Italy

    M. I. Granero-Porati, R. Kron-Morelli & A. Porati

Authors
  1. M. I. Granero-Porati
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  2. R. Kron-Morelli
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  3. A. Porati
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Granero-Porati, M.I., Kron-Morelli, R. & Porati, A. Random ecological systems with structure: Stability-complexity relationship. Bltn Mathcal Biology 44, 103–117 (1982). https://doi.org/10.1007/BF02459422

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  • DOI: https://doi.org/10.1007/BF02459422

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