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Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual based simulation results

Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual based simulation results

Bulletin of Mathematical Biology 57(4): 507-526

The effect of varying habitat dimensionality on the dynamics of a model predator-prey system is examined using an individual-based simulation. The general results are that in one dimension fluctuations in abundance of prey and predators occur over a large range of spatial scales (extinctions occur over many spatial scales). In two dimensions (and low mobilities of prey and predators) the dynamics become more predictably periodic at local scales and constant at larger scales due to statistical stabilization. In three dimensions, the model can become "phase-locked" with prey and predators displaying oscillations in abundance over large spatial scales.

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Accession: 008529490

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DOI: 10.1007/bf02460780

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