Failure-recovery model with competition between failures in complex networks: A dynamical approach

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2016, Issue 9, 2016, Pages

  Valdez, L D ^a   Di Muro, M A ^a   Braunstein, L A ^a,b  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b BOSTON UNIVERSITY   (United States)

Author keywords

Networks; Nonlinear dynamics; Percolation problems; Random graphs

Indexed keywords

EID: 85011627585     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2016/09/093402     Document Type: Article

References (31)

1. Hudson A E, Calderon D P, Pfaff D W and Proekt A 2014 Proc. Natl Acad. Sci. USA 111 9283
2. Bose I and Ghosh B 2007 J. Biosci. 32 991
3. Majdandzic A, Podobnik B, Buldyrev S V, Kenett D Y, Havlin S and Stanley H E 2014 Nat. Phys. 10 34
4. Van Mieghem P, Sahnehz F D and Scoglioz C 2014 53rd IEEE Conf. on Decision and Control (IEEE) pp 6228-33
5. Lindquist J, Ma J, van den Driessche P and Willeboordse F H 2011 J. Math. Biol. 62 143
6. Anderson R M, May R M and Anderson B 1992 Infectious Diseases of Humans: Dynamics and Control vol 28 (New York: Wiley)
7. Pastor-Satorras R, Castellano C, Van Mieghem P and Vespignani A 2015 Rev. Mod. Phys. 87 925
8. Taylor M, Simon P L, Green D M, House T and Kiss I Z 2011 J. Math. Biol. 64 1021
9. Miller J C and Kiss I Z 2014 Math. Modelling Nat. Phenom. 9 4
10. Rock K, Brand S, Moir J and Keeling M J 2014 Rep. Prog. Phys. 77 026602
11. Gleeson J P 2011 Phys. Rev. Lett. 107 068701
12. Goltsev A V, de Abreu F V, Dorogovtsev S and Mendes J F F 2010 Phys. Rev. E 81 061921
13. Dorogovtsev S N, Goltsev A V and Mendes J F F 2006 Phys. Rev. Lett. 96 040601
14. Cellai D, Lawlor A, Dawson K A and Gleeson J P 2011 Phys. Rev. Lett. 107 175703
15. Cellai D, Lawlor A, Dawson K A and Gleeson J P 2013 Phys. Rev. E 87 022134
16. Baxter G, Dorogovtsev S, Lee K-E, Mendes J and Goltsev A 2015 Phys. Rev. X 5 031017
17. Molloy M and Reed B 1995 Random Struct. Algorithms 6 161
18. Barthélemy M, Barrat A, Pastor-Satorras R and Vespignani A 2005 J. Theor. Biol. 235 275
19. Rozhnova G and Nunes A 2009 Phys. Rev. E 79 041922
20. Rozhnova G and Nunes A 2010 Eur. Phys. J. B 74 235
21. Kuperman M and Abramson G 2001 Phys. Rev. Lett. 86 2909
22. Miller J C, Slim A C and Volz E M 2012 J. R. Soc. Interface 9 890
23. Rapp P E 1987 Prog. Neurobiol. 29 261
24. Ghosh D, Banerjee T and Kurths J 2015 Phys. Rev. E 92 052908
25. Lisman J and Buzsáki G 2008 Schizophrenia Bull. 34 974
26. Menck P J, Heitzig J, Kurths J and Schellnhuber H J 2014 Nat. Commun. 5 3969
27. Jalife J, Gray R A, Morley G E and Davidenko J M 1998 Chaos 8 79
28. San Miguel M and Toral R 2000 Instabilities and Nonequilibrium Structures VI (New York: Springer) pp 35-127
29. Majdandzic A, Braunstein L A, Curme C, Vodenska I, Levy-Carciente S, Stanley H E and Havlin S 2016 Nat. Commun. 7 10850
30. Callaway D S, Newman M E J, Strogatz S H and Watts D J 2000 Phys. Rev. Lett. 85 5468
31. Verhulst F 2006 Nonlinear Differential Equations and Dynamical Systems (New York: Springer)