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

Loading next page...
 
/lp/springer_journal/numerical-experiments-with-an-adaptive-model-of-a-marine-ecosystem-1sRTD5q0sa
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

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off