August  2004, 4(3): 705-711. doi: 10.3934/dcdsb.2004.4.705

Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system

1. 

Institute for Environmental Systems Research, Department of Mathematics and Computer Science, University of Osnabrück, 49069 Osnabrück, Germany

2. 

nstitute for Environmental Systems Research, Department of Mathematics and Computer Science, University of Osnabrück, 49069 Osnabrück, Germany

3. 

Shirshov Institute of Oceanology, Russian Academy of Sciences, Nakhimovsky Prospekt 36, Moscow 117218, Russian Federation

Received  November 2002 Revised  January 2004 Published  May 2004

The spatiotemporal pattern formation in a prey-predator dynamics is studied numerically. External noise as well as the productivity of the prey population control emergence, symmetry and stability of as well as transitions between structures. Diffusive Turing structures and invasion waves are presented as example.
Citation: H. Malchow, F.M. Hilker, S.V. Petrovskii. Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 705-711. doi: 10.3934/dcdsb.2004.4.705
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