A minimal model of pattern formation in a prey-predator system

Autor(en): Petrovskii, SV
Malchow, H 
Stichwörter: CHAOS; chaotic oscillations; Computer Science; Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; diffusive wave propagation; INVASION; Mathematics; Mathematics, Applied; patchiness; predator-prey interactions; reaction-diffusion system
Erscheinungsdatum: 1999
Herausgeber: PERGAMON-ELSEVIER SCIENCE LTD
Journal: MATHEMATICAL AND COMPUTER MODELLING
Volumen: 29
Ausgabe: 8
Startseite: 49
Seitenende: 63
Zusammenfassung: 
The spatio-temporal dynamics of a prey-predator community is described by two reaction-diffusion equations. It is shown that for a class of initial conditions the spatio-temporal system dynamics resembles a ``phase transition'' between a regular and an irregular phase, separated by a moving boundary. A simple approach to specify spatio-temporal chaos is proposed. (C) 1999 Elsevier Science Ltd. All rights reserved.
ISSN: 08957177
DOI: 10.1016/S0895-7177(99)00070-9

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