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
Journal: THEORETICAL POPULATION BIOLOGY
Volumen: 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

Show full item record

Google ScholarTM

Check

Altmetric