Numerical experiments with an adaptive model of a marine ecosystem represented by the reaction-diffusion equations

Numerical experiments with an adaptive model of a marine ecosystem represented by the... We consider the role of diffusion in the formation of space-time processes in an adaptive model of a marine ecosystem. It is shown that the consideration of the diffusion in the ecosystem model constructed by the method of adaptive balance of causes results in a system of Kolmogorov–Petrovsky–Piskunov reaction-diffusion equations. We propose a model of an ecosystem including seven Kolmogorov–Petrovsky–Piskunov equations for the concentrations of phytoplankton and zooplankton, biological resources, oxygen, nutrients, detritus, and carbon dioxide. In numerical experiments performed using the model, we obtained one-dimensional and two-dimensional distributions of parameters of the ecosystem for various coefficients of diffusion. The analysis of results shows that the model of ecosystem based on the Kolmogorov–Petrovsky–Piskunov equations can generate dissipative structures, i.e., distributions of concentrations of interacting substances that are stationary in time and inhomogeneous in space. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Oceanography Springer Journals

Numerical experiments with an adaptive model of a marine ecosystem represented by the reaction-diffusion equations

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Publisher
Springer US
Copyright
Copyright © 2012 by Springer Science+Business Media, Inc.
Subject
Earth Sciences; Oceanography; Remote Sensing/Photogrammetry; Atmospheric Sciences; Climate Change; Environmental Physics
ISSN
0928-5105
eISSN
0928-5105
D.O.I.
10.1007/s11110-012-9134-x
Publisher site
See Article on Publisher Site

Abstract

We consider the role of diffusion in the formation of space-time processes in an adaptive model of a marine ecosystem. It is shown that the consideration of the diffusion in the ecosystem model constructed by the method of adaptive balance of causes results in a system of Kolmogorov–Petrovsky–Piskunov reaction-diffusion equations. We propose a model of an ecosystem including seven Kolmogorov–Petrovsky–Piskunov equations for the concentrations of phytoplankton and zooplankton, biological resources, oxygen, nutrients, detritus, and carbon dioxide. In numerical experiments performed using the model, we obtained one-dimensional and two-dimensional distributions of parameters of the ecosystem for various coefficients of diffusion. The analysis of results shows that the model of ecosystem based on the Kolmogorov–Petrovsky–Piskunov equations can generate dissipative structures, i.e., distributions of concentrations of interacting substances that are stationary in time and inhomogeneous in space.

Journal

Physical OceanographySpringer Journals

Published: Jun 7, 2012

References

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