
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Modelling
And Simulation Of Food Network 
Authors: 
Tibor Kmet 
Published in: 
ECMS
2008 Proceedings Edited
by: Loucas
S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid AlBegain ISBN:
9780955301865 Doi:
10.7148/2008 22^{nd}
European Conference on Modelling and Simulation, Nicosia, June
36, 2008 
Citation
format: 
Kmet, T. (2008). Modelling And
Simulation Of Food Network. ECMS 2008 Proceedings edited by: L. S. Louca, Y.
Chrysanthou, Z. Oplatkova, K. AlBegain (pp. 157163).
European Council for Modeling and Simulation. doi:10.7148/20080157 
DOI: 
http://dx.doi.org/10.7148/20080157 
Abstract: 
The
analysis of networks of ecological throphic trans fers is a useful
complement to simulation modelling in the quest for understanding
wholeecosystem 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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