A stochastic model for the spread of a sexually transmitted disease which results in a scale-free network

Mathematical Biosciences

Volumn 201, Issue 1-2, 2006, Pages 3-14

  Reed, William J ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Preferential attachment; Reed Hughes tree; Ring number; SFN; STD; Yule tree

Indexed keywords

DISEASES; GRAPH THEORY; MATHEMATICAL MODELS; TREES (MATHEMATICS);

PREFERENTIAL ATTACHMENT; REED-HUGHES TREE; RING NUMBER; SFN; STD; YULE TREE;

RANDOM PROCESSES;

BEHAVIORAL RESPONSE; SEXUALLY TRANSMITTED DISEASE;

ARTICLE; DISEASE TRANSMISSION; HUMAN; INFECTION; MATHEMATICAL COMPUTING; SEXUALLY TRANSMITTED DISEASE; STOCHASTIC MODEL;

FEMALE; HETEROSEXUALITY; HUMANS; MALE; MODELS, BIOLOGICAL; SEXUAL BEHAVIOR; SEXUALLY TRANSMITTED DISEASES; STOCHASTIC PROCESSES; SWEDEN;

EID: 33646831146     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2005.12.016     Document Type: Article

References (13)

1. Liljeros F., Edling C.R., Amaral L.A.N., Stanley H.E., and Åberg Y. The web of human sexual contacts. Nature 411 (2001) 907
2. Jones H.J., and Handcock M.S. Sexual contacts and epidemic thresholds. Nature 423 (2003) 605
3. Pastor-Satorras R., and Vespignani A. Epidemic dynamics in finite size scale-free networks. Phys. Rev. E 65 (2001) 035108
4. Albert R., and Barabási A.-L. Statistical mechanics of complex networks. Rev. Modern Phys. 74 (2002) 47
5. Chan D.Y.C., Hughes B.D., Leong A.S., and Reed W.J. Stochastically evolving networks. Phys. Rev. E 68 (2003) 066124
6. Karlin S., and Taylor H.M. A First Course in Stochastic Processes. second ed. (1975), Academic Press, New York
7. Pastor-Satorras R., and Vespignani A. Epidemics and immunization in scale-free networks. In: Bornholdt S., and Schuster H.G. (Eds). Handbook of Graphs and Networks: From the Genome to the Internet (2002), Wiley-VCH, Berlin 113
8. Johnson N.L., Kotz S., and Kemp A.W. Univariate Discrete Distributions. second ed. (1993), John Wiley and Sons, New York
9. May R.M., and Lloyd A.L. Infection dynamics on scale-free networks. Phys. Rev. E. 64 (2001) 066112
10. Feigin P.D. On the characterization of point processes with the order statistic property. J. Appl. Probab. 16 (1979) 297
11. Puri P.S. On the characterization of point processes with the order statistic property without moment condition. J. Appl. Prob. 19 (1982) 39
12. Maple IX, Maplesoft, Waterloo Maple Inc., 2003.
13. Haberman R. Elementary Partial Differential Equations. second ed. (1987), Prentice-Hall, Engelwood Cliffs, NJ