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Type of publication: Straipsnis konferencijos medžiagoje Clarivate Analytics Web of Science ar/ir Scopus / Article in Clarivate Analytics Web of Science or Scopus DB conference proceedings (P1a)
Field of Science: Matematika / Mathematics (N001)
Author(s): Rupšys, Petras
Title: Time delay stochastic growth laws in single-species population modeling
Is part of: Proceedings of the 4th WSEAS International Conference on MATHEMATICAL BIOLOGY and ECOLOGY (MABE'08): Advanced topics on mathematical biology and ecology, Acapulco, Mexico, January 25-27, 2008. Acapulco., 2008
Extent: p. 29-34
Date: 2008
Note: ISBN 978-960-6766-32-9
Keywords: Fokker–Planck;Density;Stochastic;Delay;L1 distance;Maximum likelihood;Tumour
Abstract: This paper investigates the stochastic linear and logistic (Verhulst, Gompertz and Richards) laws for the modeling of the process of single-species population growth. In order to explain the oscillations of population growth we use a system of stochastic differential equations with time delay (SDDE). Using the Fokker-Planck equation we derive an exact stationary density for the linear SDDE with the additive noise perturbation. We also derive approximate stationary densities in the case of small time delays with both the additive and multiplicative noise perturbations and present numerical results on the behavior of mean and variance. For the parameter estimates we propose the L1 distance and maximum likelihood procedures (MLP). Results we apply to a real data set from repeated measurements on Ehrilch ascities tumour (EAT) in a mouse. We also apply standard goodness-of-fit statistics to compare growth laws
Affiliation(s): Vytauto Didžiojo universitetas
Žemės ūkio akademija
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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