Dynamical stabilization of an unstable equilibrium in chemical and biological systems

Authors:
H. Malchow;S. V. Petrovskii
Affiliations:
Institute of Environmental Systems Research, Department of Mathematics and Computer Scence University of Osnabrück, Artilleriestr. 34, D-49069 Osnabrück, Germany;Shirshov Institute of Oceanology, Russian Academy of Sciences Nakhimovsky Prospect 36, Moscow 117218, Russia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

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Abstract

The dynamics of two-component diffusion-reaction systems is considered. Using well-known models from population dynamics and chemical physics, it is shown that for certain parameter values the systems exhibit a rather unusual behaviour: a locally unstable equilibrium may become stable during a certain transition process. Both the analytical and numerical investigations of this phenomenon are presented in one and two spatial dimensions.