Adaptation of parameters in models of ecological systems
type: Item
instance of: scholarly article
title: Adaptation of parameters in models of ecological systems
zbMATH Open document ID: 0739.92021
author: V. G. Il'ichev
published in: Automation and Remote Control
publication date: 1992-06-26T00:00:00Z
review text: One of the basic difficulties when creating simulation models for ecological systems is the identification of their parameters. In fact, owing to the incompleteness of our knowledge about the fundamental biological laws, such models contain quite a few coefficients whose values are yet to be determined. It turns out that in multi-dimensional nonlinear dynamic systems an increase in the number of free parameters does not simplify the verification of a model, but, rather, complicates it. The fact is that the behavior of variables in dynamic systems is closely associated with the topological structure of critical surfaces in the parameter space. In this paper using as a basis the concept of natural selection a scheme is proposed to expand the structure of models for biological systems which describe at the same time the behavior of the variables and the parameters. The author insists that this improves the dynamic properties of the models and makes it possible to predict the microscopic evolutionary transformations in ecological systems.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 20786
zbMATH Keywords: adaptation of parameters
zbMATH Keywords: multidimensional model
zbMATH Keywords: competing populations
zbMATH Keywords: identifiability
zbMATH Keywords: stability
zbMATH Keywords: simulation models
zbMATH Keywords: ecological systems
zbMATH Keywords: topological structure of critical surfaces
zbMATH Keywords: natural selection
zbMATH Keywords: microscopic evolutionary transformations
reviewed by: Yasuo Sugai
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 20786