Influence of dynamical condensation on epidemic spreading in scale-free networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 1, 2009, Pages

  Tang, Ming ^a   Liu, Li ^a   Liu, Zonghua ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MEAN FIELD THEORY; PROGRAMMING THEORY;

BOSONIC PARTICLES; EPIDEMIC SPREADING; MEAN-FIELD THEORIES; METAPOPULATION; NUMERICAL SIMULATIONS; PUBLIC PLACES; RECOVERY RATES; SCALE-FREE; SCALE-FREE NETWORKS; STATIONARY STATE; THEORETICAL PREDICTIONS;

CONDENSATION;

EID: 60349094794     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.016108     Document Type: Article

References (33)

1. R. Albert and A.-L. Barabasi, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47
2. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009
3. M. E. J. Newman, SIAM Rev. 45, 167 (2003). 10.1137/S003614450342480
4. L. da F. Costa, F. A. Rodrigues, G. Travieso, and P. R. Villas Boas, Adv. Phys. 56, 167 (2007). 10.1080/00018730601170527
5. R. D. Smith, e-print arXiv:0807.3374v2.
6. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1992).
7. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases, 2nd ed. (Springer-Verlag, Berlin, 1993).
8. R. Pastor-Satorras and A. Vespignani, "Epidemics and immunization in scale-free networks" in Handbook of Graphs and Networks, edited by, S. Bornholdt, and, H. G. Schuster, (Wiley-VCH, Verlag, GmbH, KGaA, 2003).
9. M. Boguna, R. Pastor-Satorras, and A. Vespignani, Lect. Notes Phys. 625, 127 (2003).
10. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001); 10.1103/PhysRevLett.86.3200
11. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E 63, 066117 (2001). 10.1103/PhysRevE.63.066117
12. A. L. Lloyd and R. M. May, Science 292, 1316 (2001). 10.1126/science. 1061076
13. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E 65, 035108 (R) (2002). 10.1103/PhysRevE.65.035108
14. I. Hanski and O. E. Gaggiotti, Ecology, Genetics, and Evolution of Metapopulations (Elsevier, Academic, San Diego, 2004).
15. V. Colizza, R. Pastor-Satorras, and A. Vespignani, Nat. Phys. 3, 276 (2007). 10.1038/nphys560
16. V. Colizza and A. Vespignani, Phys. Rev. Lett. 99, 148701 (2007). 10.1103/PhysRevLett.99.148701
17. J. Zhou and Z. Liu, Fron. Phys. China 3, 331 (2008). 10.1007/s11467-008- 0027-x
18. S. N. Majumdar, M. R. Evans, and R. K. P. Zia, Phys. Rev. Lett. 94, 180601 (2005). 10.1103/PhysRevLett.94.180601
19. M. R. Evans, Braz. J. Phys. 30, 42 (2000). 10.1590/S0103- 97332000000100005
20. M. R. Evans, Y. Kafri, H. M. Koduvely, and D. Mukamel, Phys. Rev. Lett. 80, 425 (1998). 10.1103/PhysRevLett.80.425
21. Y. Kafri, E. Levine, D. Mukamel, G. M. Schütz, and J. Török, Phys. Rev. Lett. 89, 035702 (2002). 10.1103/PhysRevLett.89. 035702
22. J. Ohkubo, Phys. Rev. E 76, 051108 (2007). 10.1103/PhysRevE.76.051108
23. B. Waclaw, L. Bogacz, Z. Burda, and W. Janke, Phys. Rev. E 76, 046114 (2007). 10.1103/PhysRevE.76.046114
24. J. D. Noh, G. M. Shim, and H. Lee, Phys. Rev. Lett. 94, 198701 (2005). 10.1103/PhysRevLett.94.198701
25. J. D. Noh, Phys. Rev. E 72, 056123 (2005). 10.1103/PhysRevE.72.056123
26. M. Tang, Z. Liu, and J. Zhou, Phys. Rev. E 74, 036101 (2006); 10.1103/PhysRevE.74.036101
27. M. Tang and Z. Liu, Physica A 387, 1361 (2008); 10.1016/j.physa.2007.10. 039
28. M. Tang and Z. Liu, Commun. Theor. Phys. 49, 252 (2008); 10.1088/0253-6102/49/1/53
29. M. Tang and Z. Liu, Int. J. Mod. Phys. C 19, 927 (2008). 10.1142/S0129183108012601
30. M. Catanzaro, M. BoguÃÃ, and R. Pastor-Satorras, Phys. Rev. E 71, 027103 (2005). 10.1103/PhysRevE.71.027103
31. Z. Liu and B. Hu, Europhys. Lett. 72, 315 (2005); 10.1209/epl/i2004- 10550-5
32. Y. Zhou, Z. Liu, and J. Zhou, Chin. Phys. Lett. 24, 581 (2007); 10.1016/j.cclet.2007.03.034
33. X. Wu and Z. Liu, Physica A 387, 623 (2008). 10.1016/j.physa.2007.09.039