Title :
Mathematical modeling in selected biological systems with fractional Brownian motion
Author :
Filatova, Daria V. ; Grzywaczewski, Marek
Author_Institution :
Anal. Centre, Russian Acad. of Sci., Moscow
Abstract :
The stochastic differential equation (SDE) with fractional Brownian motion (fBm) is used for biological communitiespsila description. Deterministic single species population models are transformed to stochastic one. These models parametric identification is done by maximum likelihood method. The effectiveness of estimation procedure is proved by Monte Carlo simulation as well as checked on Whooping Crane population description.
Keywords :
Brownian motion; Monte Carlo methods; differential equations; ecology; maximum likelihood estimation; stochastic processes; Monte Carlo simulation; biological system; deterministic single species population model; fractional Brownian motion; mathematical modeling; maximum likelihood estimation; parametric identification; stochastic differential equation; whooping crane population description; Animals; Biological system modeling; Biological systems; Brownian motion; Differential equations; Humans; Integral equations; Mathematical model; Stochastic processes; Stochastic systems; fractional Brownian motion; mathematical modeling; parameters estimation; stochastic differential equation;
Conference_Titel :
Human System Interactions, 2008 Conference on
Conference_Location :
Krakow
Print_ISBN :
978-1-4244-1542-7
Electronic_ISBN :
978-1-4244-1543-4
DOI :
10.1109/HSI.2008.4581546
