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

Authors:
S. V. Petrovskii;H. Malchow
Affiliations:
Shirshov Institute of Oceanology, Russian Academy of Sciences Nakhimovsky Prospect 36, Moscow 117218, Russia;Institute of Environmental Systems Research Department of Mathematics and Computer Science, University of Osnabrück Artilleriestr, 34, D-49069 Osnabrück, Germany
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

Citing 0
Cited 3

Dynamical stabilization of an unstable equilibrium in chemical and biological systems

Mathematical and Computer Modelling: An International Journal
Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection

Mathematical and Computer Modelling: An International Journal
Hopf bifurcation analysis in a diffusive food-chain model with time delay

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.98

Visualization

Abstract

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.