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External bias in the model of isolation of communities

Julian M. Sienkiewicz ,  Grzegorz Siudem ,  Janusz A. Hołyst 

Warsaw University of Technology, Centre of Excellence for Complex Systems Research, Koszykowa 75, Warszawa 00-662, Poland
Warsaw University of Technology, Faculty of Physics, Koszykowa 75, Warszawa 00-662, Poland

Abstract

We extend a model of community isolation in the d-dimensional lattice onto the case with an imposed imbalance between birth rates of competing communities. We give analytical and numerical evidences that in the asymmetric two-specie model there exists a well defined value of the asymmetry parameter when the emergence of the isolated (blocked) subgroups is the fastest, i.e. the characteristic time tc is minimal. This critical value of the parameter depends only on the lattice dimensionality and is independent from the system size. Similar phenomenon was observed in the multi-specie case with a geometric distribution of the birth rates. We also show that blocked subgroups in the multi-specie case are absent or very rare when either there is a strictly dominant specie that outnumbers the others or when there is a large diversity of species. The number of blocked species of different kinds decreases with the dimension of the multi-specie system.

 

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Related papers

Presentation: Poster at 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Grzegorz Siudem
See On-line Journal of 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2010-10-08 13:14
Revised:   2010-10-13 17:24