A dynamical systems model of unorganised segregation in two neighbourhoods

D. J. Haw, S. J. Hogan

Research output: Contribution to journalArticle (Academic Journal)

Abstract

We present a complete analysis of the Schelling dynamical system [Haw2018] of two connected neighbourhoods, with or without population reservoirs, for different types of linear and nonlinear tolerance schedules. We show that stable integration is only possible when the minority is small and combined tolerance is large. Unlike the case of the single neighbourhood, limiting one population does not necessarily produce stable integration and may destroy it. We conclude that a growing minority can only remain integrated if the majority increases its own tolerance. Our results show that an integrated single neighbourhood may not remain so when a connecting neighbourhood is created.
Original languageUndefined/Unknown
JournalarXiv
Publication statusPublished - 3 Jul 2019

Bibliographical note

26 pages, 13 figures

Keywords

  • nlin.AO
  • math.DS
  • 37C99

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