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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Modelling
And Simulation Of Food Network |
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Authors: |
Tibor Kmet |
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Published in:
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ECMS
2008 Proceedings Edited
by: Loucas
S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain ISBN:
978-0-9553018-6-5 Doi:
10.7148/2008 22nd
European Conference on Modelling and Simulation, Nicosia, June
3-6, 2008 |
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Citation
format: |
Kmet, T. (2008). Modelling And
Simulation Of Food Network. ECMS 2008 Proceedings edited by: L. S. Louca, Y.
Chrysanthou, Z. Oplatkova, K. Al-Begain (pp. 157-163).
European Council for Modeling and Simulation. doi:10.7148/2008-0157 |
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DOI: |
http://dx.doi.org/10.7148/2008-0157 |
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Abstract: |
The
analysis of networks of ecological throphic trans- fers is a useful
complement to simulation modelling in the quest for understanding
whole-ecosystem dynamics. Throphic networks can be studied in quantitive and
sys- tematic fashion at several levels. The purpose of this pa- per is to
investigate a system of parabolic equations with discrete time delays
describing a simple throphic food network which consists of the n + 1 type
living organ- isms zooplankton, phytoplankton and microorganisms), the n type
dissolved organic and inorganic nutrients and detritus. When the delays are
relatively small, our pre- dictions are also identical to the predictions
given by the corresponding PDE. The system of parabolic equations is
discretized by the finite difference method which
yields a coupled system of nonlinear algebraic equations. Stabil- ity analysis
of equilibria and some numerical examples are given. |
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