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 | Enthalten in: | MATHEMATICAL AND COMPUTER MODELLING | Band: | 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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