<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This article deals with a possibility to identify parameters of a selected growth model of two populations coupled by a predator-prey interaction from a set of observed data. It starts with a brief description of the Gause-type model and of a property (interior equilibrium stability) important from a point of view of an application. Subsequently, data for four forms of the trophic function are simulated and then, a noise was added to the simulated data such that the coefficients of variation equal to 0.2, 0.3 and 0.4. For each data set, the parameters are estimated using a procedure implemented in the R-language package and the coordinates of equilibrium are computed. Then we can evaluate the effect of changing variation to the values of parameters and (un)stability of the equilibrium.</p></abstract>

This article deals with a possibility to identify parameters of a selected growth model of two populations coupled by a predator-prey interaction from a set of observed data. It starts with a brief description of the Gause-type model and of a property (interior equilibrium stability) important from a point of view of an application. Subsequently, data for four forms of the trophic function are simulated and then, a noise was added to the simulated data such that the coefficients of variation equal to 0.2, 0.3 and 0.4. For each data set, the parameters are estimated using a procedure implemented in the R-language package and the coordinates of equilibrium are computed. Then we can evaluate the effect of changing variation to the values of parameters and (un)stability of the equilibrium.

Deterministic models and identification of their parameters

Department of Mathematics and Statistics, Faculty of Science, Masaryk University Brno, Kotlářská 2, CZ–611-37 Brno, CZECH REPUBLIC

Tatra Mountains Mathematical Publications

{"article-title":"Deterministic models and identification of their parameters"}

This article deals with a possibility to identify parameters of a selected growth model of two populations coupled by a predator-prey interaction from a set of...

Deterministic models and identification of their parameters

Published Online: Nov 13, 2012

Page range: 1 - 11

DOI: https://doi.org/10.2478/v10127-011-0032-2

Keywords
predator-prey models, estimation of parameters, equilibrium stability

This content is open access.

Deterministic models and identification of their parameters

Published Online: Nov 13, 2012

Page range: 1 - 11

DOI: https://doi.org/10.2478/v10127-011-0032-2

Keywordspredator-prey models, estimation of parameters, equilibrium stability

This content is open access.

Keywords
predator-prey models, estimation of parameters, equilibrium stability