AM  Vol.3 No.2 , February 2012
Spatial Inhomogenity Due to Turing Instability in a Capital-Labour Model
Author(s) Shaban Aly*
ABSTRACT
A cross-diffusion system is set up modelling the distribution of capital and labour over the land of two identical patches (cites, markets or countries) in which the per capita migration rate of each species (investment capital or labour force) is influenced not only by its own but also by the other one’s density, i.e. there is cross-diffusion present. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross-migration response is an important factor that should not be ignored when pattern emerges.

Cite this paper
S. Aly, "Spatial Inhomogenity Due to Turing Instability in a Capital-Labour Model," Applied Mathematics, Vol. 3 No. 2, 2012, pp. 172-176. doi: 10.4236/am.2012.32027.
References
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