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Structural perturbations of models used in mathematical biology
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 model’s neighbourhood in an appropriately chosen model class.
Structural perturbations of models used in mathematical biology
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 model’s neighbourhood in an appropriately chosen model class.
Structural perturbations of models used in mathematical biology
Kirkilionis, Markus (author)
Environmental Modeling & Assessment ; 2 ; 297-306
1997-12-01
10 pages
Article (Journal)
Electronic Resource
English
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