Structural perturbations of models used in mathematical biology |
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Authors: | Markus Kirkilionis |
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Affiliation: | (1) CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands |
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Abstract: | The paper discusses the importance of understanding structural perturbations of models used in mathematical biology, where we mainly focus on ecology and dynamical systems. We describe first briefly the classical modeling strategy and the derivation of model structures. Structural perturbations are then discussed, mainly in the framework of ODEs. We give some examples how insights obtained from this type of model could be transfered to other kinds of models. Finally we propose an alternative modeling strategy characterized by a systematic investigation of a models neighbourhood in an appropriately chosen model class. |
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Keywords: | models structural perturbations structural stability coarse model properties classification program |
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