
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Modelling
And Simulation Of Filter Adaptation By Daphnia 
Authors: 
Tibor Kmet, Maria Kmetova 
Published in: 
(2011).ECMS
2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M.
Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 ISBN:
9780956494429 25^{th}
European Conference on Modelling and Simulation, Jubilee Conference Krakow,
June 710, 2011

Citation
format: 
Kmet, T., & Kmetova, M.
(2011). Modelling And Simulation Of Filter Adaptation By Daphnia. ECMS 2011
Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho (pp. 122128). European Council for Modeling
and Simulation. doi:10.7148/201101220128 
DOI: 
http://dx.doi.org/10.7148/201101220128 
Abstract: 
A
model of feeding adaptation of a filter feeder in the framework of a pelagic
ecosystem is constructed by mod ifying the simplified ecosystem model
AQUAMOD for the presence of several different sized species of algae.
Stability analysis of equilibria and some numerical simu lation is given. It
is shown that Hopf bifurcation may oc cur depending on filtration rate. Also
the assumption that filtration adaptability represents optimization type pro
cess is incorporated. Two possible strategies were fol lowed: an
instantaneous optimality at each time interval and an integral formulation,
maximization of the integral biomass. The optimal control problem is
transcribed into nonlinear programming problem, which is implemented with
adaptive critic neural network and recurrent neural network for solving
nonlinear projection equations. Re sults show that adaptive critic based
systematic approach and neural network solving of nonlinear equations hold
promise for obtaining the optimal control with control and state constraints. 
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