Epidemic outbreaks on networks with effective contacts

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 2, 2010, Pages 1017-1025

  Li, Kezan ^a,b   Small, Michael ^c   Zhang, Haifeng ^d   Fu, Xinchu ^a,c  

^a SHANGHAI UNIVERSITY   (China)

^b GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY   (China)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^d ANHUI UNIVERSITY   (China)

Author keywords

Effective contact; Epidemic incidence; Epidemic outbreak; Epidemic threshold; Network

Indexed keywords

A-MONOTONE; CONNECTIVITY FLUCTUATIONS; DECREASING FUNCTIONS; DISEASE TRANSMISSION; DYNAMICAL BEHAVIORS; EFFECTIVE CONTACT; EPIDEMIC DYNAMICS; EPIDEMIC THRESHOLD; IN-NETWORK; INCREASING FUNCTIONS; NUMERICAL STUDIES; POWER-LAW; REAL-WORLD NETWORKS; STRIKING ROLE;

HETEROGENEOUS NETWORKS;

EPIDEMIOLOGY;

EID: 70449658072     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.01.046     Document Type: Article

References (19)

1. Anderson R.M., and May R.M. Infectious Diseases in Humans (1992), Oxford University Press, Oxford
2. Murray J.D. Mathematical Biology (1993), Springer Verlag, Berlin
3. Faloutsos M., Faloutsos P., and Faloutsos C. On power-law relationships of the internet topology. Comput. Commun. Rev. 29 (1999) 251-262
4. Liljeros F. The web of human sexual contacts. Nature 411 (2001) 907-908
5. Pastor-Satorras R., and Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86 (2001) 3200-3203
6. Pastor-Satorras R., and Vespignani A. Epidemic dynamics and endemic states in complex networks. Phys. Rev. E 63 (2001) 066117
7. Lloyd A.L., and May R.M. How virus spread among computers and people. Science 292 (2001) 1316-1317
8. Pastor-Satorras R., and Vespignani A. Epidemic dynamics in finite size scale-free networks. Phys. Rev. E 65 (2002) 035108R
9. May R.M., and Lloyd A.L. Infection dynamics on scale-free networks. Phys. Rev. E 64 (2001) 066112
10. Olinky R., and Stone L. Unexpected epidemic thresholds in heterogeneous networks: The role of disease transmission. Phys. Rev. E 70 (2004) 030902R
11. Joo J., and Lebowitz J.L. Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation. Phys. Rev. E 69 (2004) 066105
12. Wang J.-z., Liu Z.-r., and Xu J. Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission. Physica A 382 (2007) 715-721
13. Moreno Y., Pastor-Satorras R., and Vespignani A. Epidemic outbreaks in complex heterogeneous networks. Eur. Phys. J. B 26 (2002) 521-529
14. Moreno Y., Gómez J.B., and Pacheco A.F. Epidemic incidence in correlated complex networks. Phys. Rev. E 68 (2003) 035103R
15. Barabási A.-L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509-512
16. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover, New York
17. Pastor-Satorras R., and Vespignani A. Immunization of complex networks. Phys. Rev. E 65 (2002) 036104
18. Fu X., and Small M. Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization. Phys. Rev. E 77 (2008) 036113
19. Albert R., and Barabási A.-L. Statistical mechanics of complex networks. Rev. Modern Phys. 74 (2002) 47-97