This article deals with a possibility to identify parameters of a selected growth model oftwo populations coupled by a predator–prey interaction from a set of observed data. Itstarts with a brief description of the the Gause-type model and of a property (interiorequilibrium 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 addedto 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 theR-language package and the coordinates of equilibrium are computed. Then we canevaluate the effect of changing variation to the values of parameters and (un)stability ofthe equilibrium.
@article{132,
title = {Deterministic models and identification of their parameters},
journal = {Tatra Mountains Mathematical Publications},
volume = {49},
year = {2011},
doi = {10.2478/tatra.v50i3.132},
language = {EN},
url = {http://dml.mathdoc.fr/item/132}
}
Pink, Václav. Deterministic models and identification of their parameters. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v50i3.132. http://gdmltest.u-ga.fr/item/132/