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Three Species Lotka–Volterra Model

Author

Listed:
  • Andrzej Pekalski

    (Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland)

  • Dietrich Stauffer

    (Institute for Theoretical Physics, Cologne University, D-50923 Köln, Germany)

Abstract

We present a model of a three-step food chain. PopulationAgrows at a certain rate and at another rate is eaten by the populationBwhich has its own birth rate but is, in turn, eaten at a different rate by the populationC. The dynamics of the model is given by a set of differential equations and via Monte Carlo simulations. Our system undergoes sudden cataclysms in the form of partial destruction of one of the populations. We show that there exist threshold values for the possible percentage of destroyed populations, above which the system returns to its previous state, thus showing a self-regulatory character.

Suggested Citation

  • Andrzej Pekalski & Dietrich Stauffer, 1998. "Three Species Lotka–Volterra Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(05), pages 777-783.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:05:n:s0129183198000674
    DOI: 10.1142/S0129183198000674
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