Local Collapses in the Truscott-Brindley Model

Autor(en): Siekmann, I.
Malchow, H. 
Stichwörter: excitability; Mathematical & Computational Biology; Mathematics; Mathematics, Applied; Mathematics, Interdisciplinary Applications; paradox of enrichment; relaxation oscillations; slow-fast cycles; spatiotemporal patterns
Erscheinungsdatum: 2008
Herausgeber: EDP SCIENCES S A
Journal: MATHEMATICAL MODELLING OF NATURAL PHENOMENA
Volumen: 3
Ausgabe: 4
Startseite: 114
Seitenende: 130
Zusammenfassung: 
Relaxation oscillations are limit cycles with two clearly different time scales. In this article the spatio-temporal dynamics of a standard prey-predator system in the parameter region of relaxation oscillation is investigated. Both prey and predator population are distributed irregularly at a relatively high average level between a maximal and a minimal value. However, the slowly developing complex pattern exhibits a feature of ``inverse excitability'': Both populations show collapses which occur erratically both in space and in time. The nature of these collapses is analysed statistically and it is shown that the model behaviour can be interpreted as a resolution of the paradox of enrichment.
ISSN: 09735348
DOI: 10.1051/mmnp:2008066

Show full item record

Google ScholarTM

Check

Altmetric