Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics
Autor(en): | Petrovskii, SV Malchow, H |
Stichwörter: | BEHAVIOR; Ecology; Environmental Sciences & Ecology; Evolutionary Biology; EXPLANATION; FRONTS; Genetics & Heredity; KRILL; Mathematical & Computational Biology; MODEL; NONLINEAR PLANKTON DYNAMICS; PHYTOPLANKTON; PREY-PREDATOR SYSTEM; REACTION-DIFFUSION EQUATIONS; TEMPERATURE | Erscheinungsdatum: | 2001 | Herausgeber: | ACADEMIC PRESS INC | Enthalten in: | THEORETICAL POPULATION BIOLOGY | Band: | 59 | Ausgabe: | 2 | Startseite: | 157 | Seitenende: | 174 | Zusammenfassung: | The dynamics of a simple prey-predator system is described by a system of two reaction-diffusion equations with biologically reasonable non-linearities (logistic growth of the prey, Holling type II functional response of the predator). We show that, when the local kinetics of the system is oscillatory, for a wide class of initial conditions the evolution of the system leads to the formation of a non-stationary irregular pattern corresponding to spatio-temporal chaos. The chaotic pattern first appears inside a sub-domain of the system, This sub-domain then steadily grows with time and, finally, the chaotic pattern invades the whole space, displacing the regular pattern, (C) 2001 Academic Press. |
ISSN: | 00405809 | DOI: | 10.1006/tpbi.2000.1509 |
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geprüft am 06.06.2024