Three Species Lotka–Volterra Model

Andrzej Pekalski () and Dietrich Stauffer ()
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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

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 05, 777-783

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.

Keywords: Self-Regulation; Population Dynamics; Monte Carlo Simulation (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000674

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