The European Physical Journal B

, Volume 70, Issue 4, pp 557–565 | Cite as

Sexually transmitted infections and the marriage problem

Interdisciplinary Physics


We study an SIS epidemiological model for a sexually transmitted infection in a monogamous population where the formation and breaking of couples is governed by individual preferences. The mechanism of couple recombination is based on the so-called bar dynamics for the marriage problem. We compare the results with those of random recombination – where no individual preferences exist – for which we calculate analytically the infection incidence and the endemic threshold. We find that individual preferences give rise to a large dispersion in the average duration of different couples, causing substantial changes in the incidence of the infection and in the endemic threshold. Our analysis yields also new results on the bar dynamics, that may be of interest beyond the field of epidemiological models.


87.23.Ge Dynamics of social systems 87.23.Cc Population dynamics and ecological pattern formation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. J.D. Murray, Mathematical Biology (Springer, Berlin, 1993) Google Scholar
  2. M.J. Keeling, K.T.D. Eames, J. Royal Soc. Interface 2, 295 (2005) and references therein Google Scholar
  3. C. Moore, M.E.J. Newman, Phys. Rev. E 61, 5678 (2000) Google Scholar
  4. M. Kuperman, G. Abramson, Phys. Rev. Lett. 86, 2909 (2001) Google Scholar
  5. R. Pastor Satorras, A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001) Google Scholar
  6. M. Boguñá, R. Pastor Satorras, A. Vespignani, Phys. Rev. Lett. 90, 028701 (2003) Google Scholar
  7. T. Gross, C.D. D’Lima, B. Blasius, Phys. Rev. Lett. 96, 208701 (2006) Google Scholar
  8. T. Gross, B. Blasius, J. Royal Soc. Interface 5, 259 (2008) Google Scholar
  9. D.H. Zanette, S. Risau Gusmán, J. Biol. Phys. 34, 135 (2008) Google Scholar
  10. S. Risau Gusmán, D.H. Zanette, J. Theor. Biol. 257, 52 (2009) Google Scholar
  11. K.T.D. Eames, M.J. Keeling, Proc. Nat. Acad. Sci. 99, 13330 (2002) Google Scholar
  12. K.T.D. Eames, M.J. Keeling, Math. Biosc. 189, 115 (2004) Google Scholar
  13. D. Gale, L.S. Shapley, Am. Math. Month. 69, 9 (1962) Google Scholar
  14. D. Gusfield, R.W. Irving, The Stable Marriage Problem: Structure and Algorithm (MIT Press, Cambridge, 1989) Google Scholar
  15. A. Lage Castellanos, R. Mulet, Physica A 364, 389 (2006) Google Scholar
  16. M.J. Oméro, M. Dzierzawa, M. Marsili, Y.-C. Zhang, J. Phys. I France 7, 1723 (1997) Google Scholar
  17. S. Bouzat, D.H. Zanette, Physica A 380, 539 (2007) Google Scholar
  18. M. Dzierzawa, M.J. Oméro, Physica A 287, 321 (2000) Google Scholar
  19. G. Caldarelli, A. Capocci, Physica A 300, 325 (2001) Google Scholar
  20. G. Caldarelli, A. Capocci, P. Laureti, Physica A 299, 268 (2001) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto BalseiroRío NegroArgentina

Personalised recommendations