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

H. Malchow; F.M. Hilker; S.V. Petrovskii

doi:10.3934/dcdsb.2004.4.705

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2004, Volume 4, Issue 3: 705-711. Doi: 10.3934/dcdsb.2004.4.705

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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
2.
nstitute for Environmental Systems Research, Department of Mathematics and Computer Science, University of Osnabrück, 49069 Osnabrück
3.
Shirshov Institute of Oceanology, Russian Academy of Sciences, Nakhimovsky Prospekt 36, Moscow 117218

Received: October 31, 2002

Revised: December 31, 2003

Published: July 2005

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Abstract

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.

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Mathematics Subject Classification: 37N25, 92B05, 92D40.

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