An assessment of preferential attachment as a mechanism for human sexual network formation

Proceedings of the Royal Society B: Biological Sciences

Volumn 270, Issue 1520, 2003, Pages 1123-1128

  Jones, James Holland ^a   Handcock, Mark S ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Epidemiology; HIV; Network scaling; Sexually transmitted disease; Yule distribution

Indexed keywords

DISEASE TRANSMISSION; EPIDEMIOLOGY; HUMAN IMMUNODEFICIENCY VIRUS; METHODOLOGY; POWER LAW; SEXUALLY TRANSMITTED DISEASE; STOCHASTICITY;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; DISEASE CONTROL; DISEASE TRANSMISSION; EPIDEMIC; FEMALE; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; MAJOR CLINICAL STUDY; MALE; MATHEMATICAL MODEL; PATHOGENESIS; PRIORITY JOURNAL; PUBLIC HEALTH; SCALE UP; SEXUALLY TRANSMITTED DISEASE; STOCHASTIC MODEL;

RAKAI DISTRICT; SWEDEN; UGANDA; UNITED STATES;

HUMAN IMMUNODEFICIENCY VIRUS;

EID: 0037526119     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.2003.2369     Document Type: Article

References (37)

1. Amaral, L. A. N., Scala, A., Barthelemy, M. & Stanley, H. E. 2000 Classes of small-world networks. Proc. Natl Acad. Sci. USA 97, 11 149-11 152.
2. Anderson, R. M. & May, R. M. 1991 Infectious diseases of humans: dynamics and control. Oxford University Press.
3. Anderson, R. M., Medley, G., May, R. M. & Johnson, A. 1986 A preliminary study of the transmission dynamics of the Human Immunodeficiency Virus (HIV), the causative agent of AIDS. IMA J. Math. Appl. Med. Biol. 3, 229-263.
4. Axtell, R. L. 2001 Zipf distribution of US firm sizes. Science 293, 1818-1820.
5. Barabási, A. L. & Albert, R. 1999 Emergence of scaling in random networks. Science 286, 509-512.
6. Burnham, K. & Anderson, D. 2002 Model selection and inference: a practical information-theoretic approach, 2nd edn. New York: Springer.
7. Dezsö Z. & Barabási A. L. 2002 Halting viruses in scale-free networks. Phys. Rev. E 65. (DOI 10.1103/PhysRevE.65.055103)
8. Efron, B. & Tibshirani, R. J. 1993 An introduction to the bootstrap. New York: Chapman & Hall.
9. Ford, N. & Koetsawang, S. 1999 A pragmatic intervention to promote condom use by female sex workers in Thailand. Bull. WHO 77, 888-894.
10. Frank, O. & Strauss, D. 1986 Markov graphs. J. Am. Stat. Assoc. 81, 832-842.
11. Handcock, M. S. 2003 Statistical models for social networks: inference and degeneracy in social network modelling and analysis: workshop summary and papers. National Academy of Sciences Press. (Submitted.)
12. Handcock, M. S. & Jones, J. H. 2002 Likelihood-based inference for stochastic models of sexual network formation. Working paper #29. Center for Statistics and the Social Sciences, University of Washington.
13. Hethcote, H. W. & Yorke, J. A. 1984 Gonorrhea: transmission dynamics and control. Springer Lecture Notes in Biomathematics. Berlin, Springer.
14. Johnson, N., Kotz, S. & Kemp, A. 1992 Univariate discrete distributions, 2nd edn. New York: Wiley.
15. Laumann, E., Gagnon, J., Michael, T. & Michaels, S. 1994 The social organization of sexuality: sexual practices in the United States. University of Chicago Press.
16. Lewin, B. (ed.) 1996 Sex in Sweden. Stockholm: National Institute of Public Health.
17. Liljeros, F., Edling, C. R., Amaral, L. A. N., Stanley, H. E. & Åberg, Y. 2001 The web of human sexual contacts. Nature 411, 907-908.
18. Lloyd, A. L. & May, R. M. 2001 Epidemiology - how viruses spread among computers and people. Science 292, 1316-1317.
19. May, R. M. & Lloyd, A. L. 2001 Infection dynamics on scale-free networks. Phys. Rev. E64. (DOI 10.1103/PhysRevE.64.066112.)
20. Molloy, M. & Reed, B. 1995 A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6, 161-179.
21. Morris, M. 1993 Telling tails explain the discrepancy in sexual partner reports. Nature 365, 437-440.
22. Morris, M. 1997 Sexual networks and HIV. AIDS 11, 5209-5216.
23. Morris, M. & Kretzschmar, M. 1995 Concurrent partnerships and transmission dynamics in networks. Social Networks 17, 299-318.
24. Morris, M. & Kretzschmar, M. 1997 Concurrent partnerships and the spread of HIV. AIDS 11, 641-648.
25. Morris, M., Wawer, M. J., Makumbi, F., Zavisca, J. R. & Sewankambo, N. 2000 Condom acceptance is higher among travelers in Uganda. AIDS 14, 733-741.
26. Neaigus, A. 1999 The network approach and interventions to prevent HIV among injection drug users. Public Health 113, 140-150.
27. Nelson, K. E., Eiumtrakul, S., Celentano, D. D., Beyrer, C., Galai, N., Kawichai, S. & Khamboonruang, C. 2002 HIV infection in young men in northern Thailand, 1991-1998: increasing role of injection drug use. J. Acquir. Immune Defic. Syndr. 29, 62-68.
28. Newman, M. 2002 Spread of epidemic disease on networks. Phys. Rev. E66. (DOI 10.1103/PhysRevE.66.016128.)
29. Pastor-Satorras, R. & Vespignani, A. 2001 Immunization of complex networks. Phys. Rev. Lett 86, 3200-3203.
30. Raftery, A. E. 1995 Bayesian model selection in social research. Sociol. Methodol. 25, 111-163.
31. Serwadda, D., Gray, R. H., Wawer, M.J ., Stallings, R. Y., Sewankambo, N. K., Kondelule, J. K., Lainjo, B. & Kelly, R. 1995 The social dynamics of HIV transmission as reflected through discordant couples in rural Uganda. AIDS 9, 745-750.
32. Simon, H. 1955 On a class of skew distribution functions. Biometrika 42, 435-440.
33. Velesco-Hernandez, J., Gershengorn, H. & Blower, S. 2002 Could widespread use of combination antiretroviral therapy eradicate HIV epidemics? Lancet Infect. Dis. 2, 487-493.
34. Wasserman, S. & Faust, K. 1994 Social network analysis: methods and applications. Cambridge University Press.
35. Watts, D. J. 1999 Small worlds: the dynamics of networks between order and randomness. Princeton University Press.
36. Woolhouse, M. E. J. (and 12 others) 1997 Heterogeneities in the transmission of infectious agents: implications for the design of control programs. Proc. Natl Acad. Sci. USA 94, 338-342.
37. Yule, G. 1924 A mathematical theory of evolution based on the conclusions of Dr J. C. Willis FRS. Phil. Trans. R. Soc. Lond. B 213, 21-87.