Discrete-time Markov chain approach to contact-based disease spreading in complex networks

EPL

Volumn 89, Issue 3, 2010, Pages

  Gomez S ^a   Arenas, A ^a   Borge Holthoefer, J ^a   Meloni, S ^b,c   Moreno, Y ^c  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

^b ROMA TRE UNIVERSITY   (Italy)

^c UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957266190     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/89/38009     Document Type: Article

References (36)

1. Hethcote H. W. 2000 SIAM Rev. 42 599
2. Anderson R. M. and May R. M. 1992 Infectious Diseases of Humans: Dynamics and Control (Oxford: Oxford University Press)
3. Daley D. J. and Gani J. 1999 Epidemic Modelling (Cambridge: Cambridge University Press)
4. Murray J. D. 2002 Mathematical Biology (Berlin: Springer-Verlag)
5. Hufnagel L., Brockmann D. and Geisel T. 2004 Proc. Natl. Acad. Sci. U.S.A. 101 15124
6. Eubank S., Guclu H., Anil-Kumar V. S., Marathe M. V., Srinivasan A., Toroczkai Z. and Wang N. 2004 Nature 429 180
7. Stanley H. E. 1987 Introduction to Phase Transitions and Critical Phenomena (Oxford: Oxford University Press)
8. Pastor-Satorras R. and Vespignani A. 2001 Phys. Rev. Lett. 86 3200
9. Pastor-Satorras R. and Vespignani A. 2001 Phys. Rev. E 63 066117
10. LLoyd A. L. and May R. M. 2001 Science 292 1316
11. Moreno Y., Pastor-Satorras R. and Vespignani A. 2002 Eur. Phys. J. B 26 521
12. Newman M. E. J. 2002 Phys. Rev. E 66 016128
13. Barthélemy M., Barrat A., Pastor-Satorras R. and Vespignani A. 2004 Phys. Rev. Lett. 92 178701
14. Gómez-Gardẽes J., Latora V., Moreno Y. and Profumo E. 2008 Proc. Natl. Acad. Sci. U.S.A. 105 1399
15. Meloni S., Arenas A. and Moreno Y. 2009 Proc. Natl. Acad. Sci. U.S.A. 106 16897
16. Chakrabarti D., Wang Y., Wang C., Leskovec J. and Faloutsos C. 2008 ACM Trans. Inf. Syst. Secur. 10 (4) 13
17. Newman M. E. J. 2003 SIAM Rev. 45 167
18. Boccaletti S., Latora V., Moreno Y., Chavez M. and Hwang D.-U. 2006 Phys. Rep. 424 175
19. Dorogovtsev S. N, Goltsev A. V. and Mendes J.F. F. 2008 Rev. Mod. Phys. 80 1275
20. Liljeros F., Edling C. R., Amaral L. A. N., Stanley H. E. and Aberg Y. 2001 Nature 411 907
21. Pastor-Satorras R. and Vespignani A. 2004 Evolution and Structure of the Internet: A Statistical Physics Approach (Cambridge: Cambridge University Press)
22. Caldarelli G. 2007 Scale-Free Networks (Oxford: Oxford University Press)
23. Marro J. and Dickman R. 1999 Nonequilibrium Phase Transitions in Lattice Models (Cambridge: Cambridge University Press)
24. Castellano C. and Pastor-Satorras R. 2006 Phys. Rev. Lett. 96 038701
25. Ha M., Hong H. and Park H. 2007 Phys. Rev. Lett. 98 029801
26. Castellano C. and Pastor-Satorras R. 2007 Phys. Rev. Lett. 98 029802
27. Castellano C. and Pastor-Satorras R. 2008 Phys. Rev. Lett. 100 148701
28. Bogũa M., Castellano C. and Pastor-Satorras R. 2009 Phys. Rev. E 79 036110
29. Gallos L. K. and Argyrakis P. 2004 Phys. Rev. Lett. 92 138301
30. Catanzaro M., Bogũa M. and Pastor-Satorras R. 2005 Phys. Rev. E 71 056104
31. Colizza V., Pastor-Satorras R. and Vespignani A. 2007 Nat. Phys. 3 276
32. Barrat A., Barthélemy M., Pastor-Satorras R. and Vespignani A. 2004 Proc. Natl. Acad. Sci. U.S.A. 101 3747
33. Guimer R., Mossa S., Turtschi A. and Amaral L.A. N. 2005 Proc. Natl. Acad. Sci. U.S.A. 102 7794
34. Shao J., Buldyrev S. V., Braunstein L. A., Havlin S. and Stanley E. 2009 Phys. Rev. E 80 036105
35. Chung F., Lu L. and Vu V. 2003 Proc. Natl. Acad. Sci. U.S.A. 100 6313
36. Restrepo J. G., Ott E. and Hunt B. R. 2007 Phys. Rev. E 76 056119