Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:A1L-D
Session:
Number:A1L-D5
Evolution of Density of States for Delay Blood Cell Production Model
Pawel J. Mitkowski, Maciej J. Ogorzalek,
pp.71-74
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
In the paper we analyse delay model for the blood cell production (The Lasota equation). The main goal is to study the evolution of the density of states. Frobenius-Perron operator describing the density transformation is presented. Numerical calculations are constructed to analyse the approximation of evolving density functions. Initial density functions are determined using inverse cumulative distribution functions. For selected parameters of the equation simulations shows that chosen different initial densities converge to the same invariant density, what indicates the possibility of existence of an invariant measure.