Advanced search
Publication Cover
The Journal of Mathematical Sociology Volume 44, 2020 - Issue 4
Submit an article Journal homepage
192
Views
1
CrossRef citations to date
0
Altmetric
Research Article

A dynamical systems model of unorganized segregation in two neighborhoods

D. J. Hawa School of Public Health, Imperial College London, London, UKView further author information
&
S. J. Hoganb Department of Engineering Mathematics, University of Bristol, Bristol, UKCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-6012-6527View further author information
ORCID Icon
Pages 221-248 | Received 29 Jul 2019, Accepted 18 Nov 2019, Published online: 17 Jan 2020

References

  • Clark, W. A. V. (1991). Residential preferences and neighborhood racial segregation: A test of the Schelling segregation model. Demography, 28, 1–19. doi:10.2307/2061333
  • Clifton, S. M., Hill, K., Karamchandani, A. J., Autry, E. A., McMahon, P., & Sun, G. (2019). Mathematical model of gender bias and homophily in professional hierarchies. Chaos, 29(2), 023135. doi:10.1063/1.5066450
  • Fossett, M. (2006). Ethnic preferences, social distance dynamics, and residential segregation: Theoretical explorations using simulation analysis. The Journal of Mathematical Sociology, 30(3–4), 185–273. doi:10.1080/00222500500544052
  • Gramlich, P., Plitzko, S. J., Rudolf, L., Drossel, B., & Gross, T. (2016). The influence of dispersal on a predator-prey system with two habitats. Journal of Theoretical Biology, 398, 150–161. doi:10.1016/j.jtbi.2016.03.015
  • Guckenheimer, J., & Holmes, P. (1997). Nonlinear oscillations, dynamical systems and bifurcations of vector fields. 5th ed. Berlin, Germany: Springer Verlag.
  • Haw, D. J., & Hogan, S. J. (2018). A dynamical systems model of unorganized segregation. The Journal of Mathematical Sociology, 42(3), 113–127. doi:10.1080/0022250X.2018.1427091
  • Hegselmann, R. (2017). Thomas C. Schelling and James M. Sakoda: The intellectual, technical, and social history of a model. Journal of Artificial Societies and Social Simulation, 20(3), 15. doi:10.18564/jasss.3511
  • Jansen, V. A. A. (2001). The dynamics of two diffusively coupled predator-prey populations. Theoretical Population Biology, 59(2), 119–131. doi:10.1006/tpbi.2000.1506
  • Jordan, D. W., & Smith, P. (1999). Nonlinear ordinary differential equations. An Introduction to dynamical systems (3rd ed.). Oxford, UK: Oxford University Press.
  • Massey, D. S., & Denton, N. A. (1988). The dimensions of residential segregation. Social Forces, 67(2), 281–315. doi:10.2307/2579183
  • Moller, L. C., & Serbin, L. A. (1996). Antecedents of toddler gender segregation: Cognitive consonance, gender-typed toy preferences and behavioral compatibility. Sex Roles, 35(7–8), 445–460. doi:10.1007/BF01544131
  • Pancs, R., & Vriend, N. J. (2007). Schelling’s spatial proximity model of segregation revisited. Journal of Public Economics, 91(1–2):1–24. doi:10.1016/j.jpubeco.2006.03.008
  • Schelling, T. C. (1969). Models of segregation. The American Economic Review, 59, 488–493.
  • Schelling, T. C. (1971). Dynamic models of segregation. The Journal of Mathematical Sociology, 1, 143–186. doi:10.1080/0022250X.1971.9989794
  • Schelling, T. C. (2006). Some fun, thirty-five years ago. In L. Tesfatsion & K. L. Judd (Eds..), Handbook of computational economics (chapter 37, Vol. 2, pp. 1640–1644). Amsterdam, The Netherlands: Elsevier B.V.
  • Shin, J. K., & Sayama, H. (2014). Theoretical investigation on the Schelling’s critical neighborhood demand. Communications in Nonlinear Science and Numerical Simulation, 19(5), 1417–1423. doi:10.1016/j.cnsns.2013.08.038
  • Shin, J. K., Sayama, H., & Choi, S. R. (2016). A state equation for the Schelling’s segregation model. Complex & Intelligent Systems, 2, 35–43. doi:10.1007/s40747-016-0012-x

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.