Spectral analysis and slow spreading dynamics on complex networks

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

Volumn 88, Issue 3, 2013, Pages

  Ódor, Géza ^a  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ADJACENCY MATRICES; ANNIHILATION REACTIONS; DYNAMICAL BEHAVIORS; DYNAMICAL SIMULATION; MEMORY LESS SYSTEMS; SCALE FREE NETWORKS; SPECTRAL DECOMPOSITION; SUSCEPTIBLE-INFECTED-SUSCEPTIBLE MODEL;

COMPUTER SIMULATION; FORECASTING;

SPECTRUM ANALYSIS;

ARTICLE; COMMUNICABLE DISEASE; DISEASE PREDISPOSITION; DISEASE TRANSMISSION; EPIDEMIC; THEORETICAL MODEL;

COMMUNICABLE DISEASES; DISEASE SUSCEPTIBILITY; EPIDEMICS; MODELS, THEORETICAL;

EID: 84885086877     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.032109     Document Type: Article

References (54)

1. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1275 80, 1275 (2008).
2. A. Barrat, M. Barthélemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, 2008).
3. S. Johnson, J. J. Torres, and J. Marro, PLoS ONE 1932-6203 10.1371/journal.pone.0050276 8, e50276 (2013).
4. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3200 86, 3200 (2001). (Pubitemid 32317894)
5. R. Pastor-Satorras and A. Vespignani, Evolution and Structure of the Internet: A Statistical Physics Approach (Cambridge University Press, Cambridge, 2004).
6. A. Haimovici, E. Tagliazucchi, P. Balenzuela, and D. R. Chialvo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.178101 110, 178101 (2013).
7. M. Karsai, M. Kivela, R. K. Pan, K. Kaski, J. Kertesz, A. L. Barabasi, and J. Saramaki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.025102 83, 025102 (R) (2011).
8. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
9. G. Ódor, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76. 663 76, 663 (2004). (Pubitemid 40176839)
10. G. Ódor, Universality in Nonequilibrium Lattice Systems (World Scientific, Singapore, 2008).
11. R. B. Griffiths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 23.17 23, 17 (1969).
12. T. Vojta, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/39/ 22/R01 39, R143 (2006). (Pubitemid 43785961)
13. A. Amir, Y. Oreg, and Y. Imry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.070601 105, 070601 (2010).
14. C. Monthus and T. Garel, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/44/8/085001 44, 085001 (2011).
15. I. A. Kovács and F. Iglói, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/23/40/404204 23, 404204 (2011).
16. R. Juhász and I. A. Kovács, J. Stat. Mech. 10.1088/1742-5468/2013/06/P06003 (2013) P06003.
17. M. A. Muñoz, R. Juhász, C. Castellano, and G. Ódor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.128701 105, 128701 (2010).
18. G. Ódor, R. Juhasz, C. Castellano, and M. A. Munoz, in Nonequilibrium Statistical Physics Today, edited by, P. L. Garrido, J. Marro, and, F. de los Santos, Vol. 1332 (AIP, Melville, 2011), pp. 172-178.
19. R. Juhász, G. Ódor, C. Castellano, and M. A. Muñoz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.066125 85, 066125 (2012).
20. P. Erdos and A. Rényi, A. Publ. Math. 6, 290 (1959).
21. T. E. Harris, Ann. Prob. APBYAE 0091-1798 10.1214/aop/1176996493 2, 969 (1974).
22. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985).
23. M. Aizenman and C. M. Newman, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01205489 107, 611 (1986).
24. R. Juhász and G. Ódor, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.041123 80, 041123 (2009).
25. R. Juhász, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78. 066106 78, 066106 (2008).
26. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
27. G. Odor and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.026117 86, 026117 (2012).
28. G. Odor, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.042132 87, 042132 (2013).
29. R. M. Anderson and R. M. May, Infectious Diseases in Humans (Oxford University Press, Oxford, 1992).
30. M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.036110 79, 036110 (2009).
31. S. C. Ferreira, C. Castellano, and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.041125 86, 041125 (2012).
32. A. V. Goltsev, S. N. Dorogovtsev, J. G. Oliveira, and J. F. F. Mendes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.128702 109, 128702 (2012).
33. D. Chakrabarti, Y. Wang, C. Wang, J. Leskovec, and C. Faloutsos, ACM Trans. Inf. Syst. Secur. 1094-9224 10.1145/1284680.1284681 10, 1 (2008). (Pubitemid 351258934)
34. P. Van Mieghem, J. Omic, and R. Kooij, IEEE ACM T. Network. IEANEP 1063-6692 10.1109/TNET.2008.925623 17, 1 (2009).
35. C. Buono, F. Vazquez, P. A. Macri, and L. A. Braunstein, Phys. Rev. E 10.1103/PhysRevE.88.022813 88, 022813 (2013).
36. C. Cattuto, W. V. den Broeck, A. Barrat, V. Colizza, J.-F. Pinton, and A. Vespignani, PLoS ONE 1932-6203 10.1371/journal.pone.0011596 5, e11596 (2010).
37. Y.-Ho Eom and A. Fortunato, Plos ONE 1932-6203 10.1371/journal.pone. 0024296 6, e24296 (2011).
38. S. N. Dorogovtsev and J. F. F. Mendes, Phys. Rev. E 1063-651X 10.1103/PhysRevE.62.1842 62, 1842 (2000).
39. C. M. Schneider, L. de Arcangelis, and H. J. Herrmann, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/95/16005 95, 16005 (2011).
40. P. Van Mieghem, Eur. Phys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/ 48004 97, 48004 (2012).
41. http://www.gnu.org/software/octave.
42. F. Chung, L. Lu, and V. Vu, Proc. Natl. Acad. Sci. USA 10.1073/pnas.0937490100 100, 6313 (2003). (Pubitemid 36666578)
43. M. Boguña, C. Castellano, and R. Pastor-Satorras, arXiv: 1305.4819.
44. A. Halu, S. Garnerone, A. Vezzani, and G. Bianconi, Phys. Rev. E 10.1103/PhysRevE.87.022104 87, 022104 (2013).
45. M. Molloy and B. A. Reed, Random Struct. Algor. 10.1002/rsa.3240060204 6, 161 (1995).
46. G. Ódor, EPJ Web of Conferences 2100-014X 10.1051/epjconf/ 20134404005 44, 04005 (2013).
47. F. Slanina, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2012-30338-1 85, 361 (2012).
48. A. S. Mata and S. C. Ferreira, arXiv: 1305.5153.
49. M. Catanzaro, M. Boguñá, and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.027103 71, 027103 (2005). (Pubitemid 40607082)
50. A. A. Moreira, J. S. Andrade, H. J. Herrmann, and J. O. Indekeu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.018701 102, 018701 (2009).
51. B. Bollobás, Random Graphs (Academic Press, London, 1985).
52. G. J. Rodgers and A. J. Bray, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.3557 37, 3557 (1988).
53. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
54. M. E. J. Newman, Nat. Phys. 1745-2473 10.1038/nphys2162 8, 25 (2012).