Display Abstract

Title Singularly perturbed transport and diffusion systems on network and state lumping

Name Jacek J Banasiak
Country So Africa
Email banasiak@ukzn.ac.za
Co-Author(s) J. Banasiak
Submit Time 2014-02-24 04:29:14
Session
Special Session 85: Transport processes in biology: Modelling and analysis
Contents
We consider asymptotic behaviour of diffusion and transport process on networks, when the parameters related to the transport speed/diffusion go to infinity, while the permeability coefficients at the nodes tend to zero. We show that, under certain conditions, such processes exhibit the so called \textit{state lumping}; that is, they can be approximated by linear dynamical systems governed by the adjacency matrices of the line graph of the original network.