Oscillations and patterns in interacting populations of two species

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© 2008 American Physical Society (APS). This is the accepted version of the following article: Peltomäki, Matti & Rost, Martin & Alava, Mikko J. 2008. Oscillations and patterns in interacting populations of two species. Physical Review E. Volume 78, Issue 5. 050903/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.78.050903, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.78.050903.

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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2008

Major/Subject

Mcode

Degree programme

Language

en

Pages

050903/1-4

Series

Physical Review E, Volume 78, Issue 5

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 coexistence, there are spatial patterns leading to noise-sustained oscillations. We introduce a measure for the patterns, and explain the oscillations as a consequence of a time-scale separation and noise. They are linked together with the patterns by letting the spreading rates depend on instantaneous population densities. Applications are discussed.

Description

Keywords

interacting populations, population dynamics

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Citation

Peltomäki, Matti & Rost, Martin & Alava, Mikko J. 2008. Oscillations and patterns in interacting populations of two species. Physical Review E. Volume 78, Issue 5. 050903/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.78.050903.