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arXiv · 0810.4839

Oscillations and patterns in interacting populations of two species

Matti Peltomaki·Martin Rost·Mikko Alava
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Abstract

Interacting populations often create complicated spatiotemporal behavior, and understanding it is a basic problem in the dynamics of spatial systems. We study the two-species case by simulations of a host--parasitoid model. In the case of co-existence, there are spatial patterns leading to noise-sustained oscillations. We introduce a new measure for the patterns, and explain the oscillations as a consequence of a timescale separation and noise. They are linked together with the patterns by letting the spreading rates depend on instantaneous population densities. Applications are discussed.

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Matti Peltomaki, Martin Rost, Mikko Alava. 2008-10-27. Oscillations and patterns in interacting populations of two species. https://doi.org/10.1103/physreve.78.050903

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