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From Bistability toCoupling-Induced Oscillations in a Two-Habitat Model for the Rotifer Population Dynamics

Published online by Cambridge University Press:  07 November 2008

A. B. Medvinsky ,
M. M. Gonik ,
A. V. Rusakov  and
H. Malchow
A. B. Medvinsky*
Affiliation:
Institute of Theoretical and Experimental Biophysics, Pushchino, Moscow Region, 142290, Russia
M. M. Gonik
Affiliation:
Institute of Theoretical and Experimental Biophysics, Pushchino, Moscow Region, 142290, Russia
A. V. Rusakov
Affiliation:
Institute of Theoretical and Experimental Biophysics, Pushchino, Moscow Region, 142290, Russia
H. Malchow
Affiliation:
Institute of Environmental Systems Research, University of Osnabrück, D-49069 Osnabrück, Germany
*
[email protected]
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Abstract

We study the role of interactions between habitats in rotifer dynamics. For this purpose we use a modified version of the Consensus model. The Consensus model has been shown to be realistic enough to reproduce distinguishing features of the rotifer species dynamics. Being uncoupled, intrinsically bistable rotifer populations, which inhabit the regions under different environmental conditions, do not impact each other. We show that migration of the rotifers between the habitats leads to the transformation of bistability to oscillatory dynamics. The coupling-induced oscillations of the rotifer biomass are shown to be either regular or irregular depending on the value of the model parameters, which describe environmental conditions and the biomass exchange between the habitats. We show that the irregular oscillations are characterized by positive values of the Lyapunov exponent, which means that they are chaotic.

Keywords

bistabilitycoupling-induced oscillationschaosrotifer population dynamics
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 3 , Issue 3: Advances in Plankton Modelling , 2008 , pp. 103 - 114
Copyright
© EDP Sciences, 2008

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