-
2
-
-
0003475470
-
-
Interdisciplinary Applied Mathematics (Springer, New York)
-
J. D. Murray, Mathematical Biology, Interdisciplinary Applied Mathematics Vol. 17 (Springer, New York, 2004).
-
(2004)
Mathematical Biology
, vol.17
-
-
Murray, J.D.1
-
3
-
-
84867303343
-
-
C. Furusawa and K. Kaneko, Science 338, 215 (2012). SCIEAS 0036-8075 10.1126/science.1224311
-
(2012)
Science
, vol.338
, pp. 215
-
-
Furusawa, C.1
Kaneko, K.2
-
9
-
-
0006963217
-
-
M. Araujo, H. Larralde, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. 71, 3592 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.3592
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 3592
-
-
Araujo, M.1
Larralde, H.2
Havlin, S.3
Stanley, H.E.4
-
11
-
-
84255188571
-
-
A. Vespignani, Nat. Phys. 8, 32 (2012). 1745-2473 10.1038/nphys2160
-
(2012)
Nat. Phys.
, vol.8
, pp. 32
-
-
Vespignani, A.1
-
12
-
-
20544440795
-
-
L. Gálfi and Z. Rácz, Phys. Rev. A 38, 3151 (1988). 0556-2791 10.1103/PhysRevA.38.3151
-
(1988)
Phys. Rev. A
, vol.38
, pp. 3151
-
-
Gálfi, L.1
Rácz, Z.2
-
13
-
-
0003536187
-
-
(Nova Science, Hauppauge, NY)
-
A. A. Ovchinnikov, S. F. Timashev, and A. A. Bel, Kinetics of Diffusion Controlled Chemical Processes (Nova Science, Hauppauge, NY, 1989).
-
(1989)
Kinetics of Diffusion Controlled Chemical Processes
-
-
Ovchinnikov, A.A.1
Timashev, S.F.2
Bel, A.A.3
-
14
-
-
0000758736
-
-
H. Taitelbaum, S. Havlin, J. E. Kiefer, B. Trus, and G. H. Weiss, J. Stat. Phys. 65, 873 (1991). JSTPBS 0022-4715 10.1007/BF01049587
-
(1991)
J. Stat. Phys.
, vol.65
, pp. 873
-
-
Taitelbaum, H.1
Havlin, S.2
Kiefer, J.E.3
Trus, B.4
Weiss, G.H.5
-
17
-
-
34547352719
-
-
(Cambridge University Press, Cambridge, UK)
-
R. Cohen and S. Havlin, Complex Networks: Structure, Robustness and Function (Cambridge University Press, Cambridge, UK, 2010).
-
(2010)
Complex Networks: Structure, Robustness and Function
-
-
Cohen, R.1
Havlin, S.2
-
18
-
-
31344474880
-
-
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009
-
(2006)
Phys. Rep.
, vol.424
, pp. 175
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.-U.5
-
19
-
-
84924517160
-
-
(Cambridge University Press, Cambridge, UK)
-
A. Barrat, M. Barthelemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, UK, 2008).
-
(2008)
Dynamical Processes on Complex Networks
-
-
Barrat, A.1
Barthelemy, M.2
Vespignani, A.3
-
22
-
-
84942305442
-
-
R. Pastor-Satorras, C. Castellano, P. V. Mieghem, and A. Vespignani, Rev. Mod. Phys. 87, 925 (2015). RMPHAT 0034-6861 10.1103/RevModPhys.87.925
-
(2015)
Rev. Mod. Phys.
, vol.87
, pp. 925
-
-
Pastor-Satorras, R.1
Castellano, C.2
Mieghem, P.V.3
Vespignani, A.4
-
26
-
-
33750052890
-
-
S. Weber and M. Porto, Phys. Rev. E 74, 046108 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.74.046108
-
(2006)
Phys. Rev. e
, vol.74
, pp. 046108
-
-
Weber, S.1
Porto, M.2
-
28
-
-
85043409925
-
-
Handbook of Large-Scale Random Networks (Springer, Berlin)
-
M. Catanzaro, M. Boguñá, and R. Pastor-Satorras, in Reaction-Diffusion Processes in Scale-Free Networks, Handbook of Large-Scale Random Networks (Springer, Berlin, 2008), p. 203.
-
(2008)
Reaction-Diffusion Processes in Scale-Free Networks
, pp. 203
-
-
Catanzaro, M.1
Boguñá, M.2
Pastor-Satorras, R.3
-
29
-
-
84872146751
-
-
S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. J. Pérez-Vicente, Y. Moreno, and A. Arenas, Phys. Rev. Lett. 110, 028701 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.028701
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 028701
-
-
Gómez, S.1
Díaz-Guilera, A.2
Gómez-Gardeñes, J.3
Pérez-Vicente, C.J.4
Moreno, Y.5
Arenas, A.6
-
30
-
-
84939544715
-
-
(R)
-
A. Garas, Phys. Rev. E 92, 020801 (R) (2015). PLEEE8 1539-3755 10.1103/PhysRevE.92.020801
-
(2015)
Phys. Rev. e
, vol.92
, pp. 020801
-
-
Garas, A.1
-
32
-
-
84909980102
-
-
S. Boccaletti, G. Bianconi, R. Criado, C. Del Genio, J. Gómez-Gardeñes, M. Romance, I. Sendiña-Nadal, Z. Wang, and M. Zanin, Phys. Rep. 544, 1 (2014). PRPLCM 0370-1573 10.1016/j.physrep.2014.07.001
-
(2014)
Phys. Rep.
, vol.544
, pp. 1
-
-
Boccaletti, S.1
Bianconi, G.2
Criado, R.3
Del Genio, C.4
Gómez-Gardeñes, J.5
Romance, M.6
Sendiña-Nadal, I.7
Wang, Z.8
Zanin, M.9
-
33
-
-
84942256852
-
-
M. Kivelä, A. Arenas, M. Barthelemy, J. P. Gleeson, Y. Moreno, and M. A. Porter, J. Complex Netw. 2, 203 (2014). 2051-1310 10.1093/comnet/cnu016
-
(2014)
J. Complex Netw.
, vol.2
, pp. 203
-
-
Kivelä, M.1
Arenas, A.2
Barthelemy, M.3
Gleeson, J.P.4
Moreno, Y.5
Porter, M.A.6
-
34
-
-
84945206007
-
-
G. Bianconi, Eur. Phys. Lett. 111, 56001 (2015). EULEEJ 0295-5075 10.1209/0295-5075/111/56001
-
(2015)
Eur. Phys. Lett.
, vol.111
, pp. 56001
-
-
Bianconi, G.1
-
36
-
-
77951126500
-
-
S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Nature (London) 464, 1025 (2010). NATUAS 0028-0836 10.1038/nature08932
-
(2010)
Nature (London)
, vol.464
, pp. 1025
-
-
Buldyrev, S.V.1
Parshani, R.2
Paul, G.3
Stanley, H.E.4
Havlin, S.5
-
37
-
-
84255194232
-
-
J. Gao, S. V. Buldyrev, H. E. Stanley, and S. Havlin, Nat. Phys. 8, 40 (2012). 1745-2473 10.1038/nphys2180
-
(2012)
Nat. Phys.
, vol.8
, pp. 40
-
-
Gao, J.1
Buldyrev, S.V.2
Stanley, H.E.3
Havlin, S.4
-
38
-
-
85029594996
-
-
D. F. Klosic, A. Grimbs, S. Bornholdt, and M.-T. Hütt, Nat. Commun. 8, 534 (2017). 2041-1723 10.1038/s41467-017-00587-4
-
(2017)
Nat. Commun.
, vol.8
, pp. 534
-
-
Klosic, D.F.1
Grimbs, A.2
Bornholdt, S.3
Hütt, M.-T.4
-
39
-
-
85018484280
-
-
C. del Genio, J. Gómez-Gardeñes, I. Bonamassa, and S. Boccaletti, Sci. Adv. 2, e1601679 (2016). 2375-2548 10.1126/sciadv.1601679
-
(2016)
Sci. Adv.
, vol.2
, pp. e1601679
-
-
Del Genio, C.1
Gómez-Gardeñes, J.2
Bonamassa, I.3
Boccaletti, S.4
-
40
-
-
85016828943
-
-
V. Nicosia, P. S. Skardal, A. Arenas, and V. Latora, Phys. Rev. Lett. 118, 138302 (2017). PRLTAO 0031-9007 10.1103/PhysRevLett.118.138302
-
(2017)
Phys. Rev. Lett.
, vol.118
, pp. 138302
-
-
Nicosia, V.1
Skardal, P.S.2
Arenas, A.3
Latora, V.4
-
41
-
-
85045013362
-
-
M. M. Danziger, I. Bonamassa, S. Boccaletti, and S. Havlin, arXiv:1705.00241
-
M. M. Danziger, I. Bonamassa, S. Boccaletti, and S. Havlin, arXiv:1705.00241.
-
-
-
-
43
-
-
85044993476
-
-
After the crossover, the reactants become (so to say) oblivious of the "mesoscopic" structure of the interconnected network. This means that the fraction of interconnected nodes must be much larger than the density of the survived particles, which justifies the condition (Equation presented) adopted in deriving Eq. (6)
-
After the crossover, the reactants become (so to say) oblivious of the "mesoscopic" structure of the interconnected network. This means that the fraction of interconnected nodes must be much larger than the density of the survived particles, which justifies the condition (Equation presented) adopted in deriving Eq. (6).
-
-
-
-
47
-
-
0034323311
-
-
R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, Phys. Rev. Lett. 85, 4626 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.4626
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 4626
-
-
Cohen, R.1
Erez, K.2
Ben-Avraham, D.3
Havlin, S.4
-
49
-
-
77949868677
-
-
(Cambridge University Press, Cambridge, UK)
-
P. L. Krapivsky, S. Redner, and E. Ben-Naim, A Kinetic View of Statistical Physics (Cambridge University Press, Cambridge, UK, 2010).
-
(2010)
A Kinetic View of Statistical Physics
-
-
Krapivsky, P.L.1
Redner, S.2
Ben-Naim, E.3
-
50
-
-
72249117000
-
-
E. Agliari, R. Burioni, D. Cassi, and F. M. Neri, IMA J. Man. Math. 21, 67 (2009). 1471-678X 10.1093/imaman/dpp003
-
(2009)
IMA J. Man. Math.
, vol.21
, pp. 67
-
-
Agliari, E.1
Burioni, R.2
Cassi, D.3
Neri, F.M.4
|