-
1
-
-
0036013593
-
Statistical mechanics of complex networks
-
Albert R., and Barabási A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 74 (2002) 47-97
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 47-97
-
-
Albert, R.1
Barabási, A.-L.2
-
2
-
-
77957182038
-
Spatial, temporal and genetic heterogeneity in host populations and the design of immunization programs
-
Anderson R.M., and May R.M. Spatial, temporal and genetic heterogeneity in host populations and the design of immunization programs. IMA J. Math. Appl. Med. Biol. 1 (1984) 233-266
-
(1984)
IMA J. Math. Appl. Med. Biol.
, vol.1
, pp. 233-266
-
-
Anderson, R.M.1
May, R.M.2
-
4
-
-
40849100877
-
-
Bailey, N.T., 1975. The Mathematical Theory of Infectious Diseases., second ed., Hodder Arnold.
-
Bailey, N.T., 1975. The Mathematical Theory of Infectious Diseases., second ed., Hodder Arnold.
-
-
-
-
8
-
-
40849096752
-
-
Barrett, C.L., et al., 2000. TRANSIMS: Transportation Analysis Simulation System. Technical Report LA-UR-00-1725, Los Alamos National Laboratory.
-
Barrett, C.L., et al., 2000. TRANSIMS: Transportation Analysis Simulation System. Technical Report LA-UR-00-1725, Los Alamos National Laboratory.
-
-
-
-
11
-
-
0027465252
-
Chaos and biological complexity in measles dynamics
-
Bolker B.M., and Grenfell T. Chaos and biological complexity in measles dynamics. Proc. R. Soc. London B 251 (1993) 75-81
-
(1993)
Proc. R. Soc. London B
, vol.251
, pp. 75-81
-
-
Bolker, B.M.1
Grenfell, T.2
-
12
-
-
0029654470
-
Space persistence and dynamics of measles epidemics
-
Bolker B.M., and Grenfell T. Space persistence and dynamics of measles epidemics. Philos. Trans. R. Soc. London B 348 (1995) 309-320
-
(1995)
Philos. Trans. R. Soc. London B
, vol.348
, pp. 309-320
-
-
Bolker, B.M.1
Grenfell, T.2
-
13
-
-
34548491989
-
Generation of uncorrelated random scale-free networks
-
Catanzaro M., Boguña M., and Pastor-Satorras R. Generation of uncorrelated random scale-free networks. Phys. Rev. E 71 (2005) 027103
-
(2005)
Phys. Rev. E
, vol.71
, pp. 027103
-
-
Catanzaro, M.1
Boguña, M.2
Pastor-Satorras, R.3
-
14
-
-
1442354946
-
Scaling laws for the movement of people between locations in a large city
-
Chowell G., Hyman J.M., Eubank S., and Castillo-Chavez C. Scaling laws for the movement of people between locations in a large city. Phys. Rev. E 68 (2003) 066102
-
(2003)
Phys. Rev. E
, vol.68
, pp. 066102
-
-
Chowell, G.1
Hyman, J.M.2
Eubank, S.3
Castillo-Chavez, C.4
-
15
-
-
33144474437
-
The role of the airline transportation network in the prediction and predictability of global epidemics
-
Colizza V., Barrat A., Barthélemy M., and Vespignani A. The role of the airline transportation network in the prediction and predictability of global epidemics. Proc. Natl Acad. Sci. USA 103 (2006) 2015-2020
-
(2006)
Proc. Natl Acad. Sci. USA
, vol.103
, pp. 2015-2020
-
-
Colizza, V.1
Barrat, A.2
Barthélemy, M.3
Vespignani, A.4
-
16
-
-
33750742459
-
The modeling of global epidemics: stochastic dynamics and predictability
-
Colizza V., Barrat A., Barthélemy M., and Vespignani A. The modeling of global epidemics: stochastic dynamics and predictability. Bull. Math. Biol. 68 (2006) 1893-1921
-
(2006)
Bull. Math. Biol.
, vol.68
, pp. 1893-1921
-
-
Colizza, V.1
Barrat, A.2
Barthélemy, M.3
Vespignani, A.4
-
17
-
-
33846670320
-
Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions
-
Colizza V., Barrat A., Barthélemy M., Valleron A.-J., and Vespignani A. Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions. PLoS Med. 4 1 (2007) e13
-
(2007)
PLoS Med.
, vol.4
, Issue.1
-
-
Colizza, V.1
Barrat, A.2
Barthélemy, M.3
Valleron, A.-J.4
Vespignani, A.5
-
18
-
-
34047175259
-
Reaction-diffusion processes and metapopulation models in heterogeneous networks
-
Colizza V., Pastor-Satorras R., and Vespignani A. Reaction-diffusion processes and metapopulation models in heterogeneous networks. Nat. Phys. 3 (2007) 276-282
-
(2007)
Nat. Phys.
, vol.3
, pp. 276-282
-
-
Colizza, V.1
Pastor-Satorras, R.2
Vespignani, A.3
-
19
-
-
40849127421
-
-
Colizza, V., Pastor-Satorras, R., Vespignani, A., in preparation.
-
Colizza, V., Pastor-Satorras, R., Vespignani, A., in preparation.
-
-
-
-
21
-
-
20444420879
-
Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations
-
Cross P., Lloyd-Smith J.O., Johnson P.L.F., and Wayne M.G. Duelling timescales of host movement and disease recovery determine invasion of disease in structured populations. Ecol. Lett. 8 (2005) 587-595
-
(2005)
Ecol. Lett.
, vol.8
, pp. 587-595
-
-
Cross, P.1
Lloyd-Smith, J.O.2
Johnson, P.L.F.3
Wayne, M.G.4
-
23
-
-
35448993944
-
-
De Montis, A., Barthélemy, M., Chessa, A., Vespignani, A. 2007. The structure of interurban traffic: a weighted network analysis. Environment Plann. B (doi:10.1068/b32128).
-
De Montis, A., Barthélemy, M., Chessa, A., Vespignani, A. 2007. The structure of interurban traffic: a weighted network analysis. Environment Plann. B (doi:10.1068/b32128).
-
-
-
-
25
-
-
0032491877
-
Persistence chaos and synchrony in ecology and epidemiology
-
Earn D.J.D., Rohani P., and Grenfell B.T. Persistence chaos and synchrony in ecology and epidemiology. Proc. R. Soc. London B 265 (1998) 7-10
-
(1998)
Proc. R. Soc. London B
, vol.265
, pp. 7-10
-
-
Earn, D.J.D.1
Rohani, P.2
Grenfell, B.T.3
-
26
-
-
0142246450
-
Planning for smallpox outbreaks
-
Ferguson N.M., Keeling M.J., Edmunds W.J., Gani R., Grenfell B.T., and Anderson R.M. Planning for smallpox outbreaks. Nature 425 (2003) 681-685
-
(2003)
Nature
, vol.425
, pp. 681-685
-
-
Ferguson, N.M.1
Keeling, M.J.2
Edmunds, W.J.3
Gani, R.4
Grenfell, B.T.5
Anderson, R.M.6
-
27
-
-
17544390067
-
A method for assessing the global spread of HIV-1 infection based on air-travel
-
Flahault A., and Valleron A.-J. A method for assessing the global spread of HIV-1 infection based on air-travel. Math. Popul. Stud. 3 (1991) 1-11
-
(1991)
Math. Popul. Stud.
, vol.3
, pp. 1-11
-
-
Flahault, A.1
Valleron, A.-J.2
-
28
-
-
0242301057
-
Assessing the impact of airline travel on the geographic spread of pandemic influenza
-
Grais R.F., Ellis J.H., and Glass G.E. Assessing the impact of airline travel on the geographic spread of pandemic influenza. Eur. J. Epidemiol. 18 (2003) 1065-1072
-
(2003)
Eur. J. Epidemiol.
, vol.18
, pp. 1065-1072
-
-
Grais, R.F.1
Ellis, J.H.2
Glass, G.E.3
-
29
-
-
2642580090
-
Modeling the spread of annual influenza epidemics in the US: the potential role of air travel
-
Grais R.F., Ellis J.H., Kress A., and Glass G.E. Modeling the spread of annual influenza epidemics in the US: the potential role of air travel. Health Care Manage. Sci. 7 (2004) 127-134
-
(2004)
Health Care Manage. Sci.
, vol.7
, pp. 127-134
-
-
Grais, R.F.1
Ellis, J.H.2
Kress, A.3
Glass, G.E.4
-
30
-
-
0003022391
-
Cities and villages: infection hierarchies in a measles metapopulation
-
Grenfell B.T., and Bolker B.M. Cities and villages: infection hierarchies in a measles metapopulation. Ecol Lett. 1 (1998) 63-70
-
(1998)
Ecol Lett.
, vol.1
, pp. 63-70
-
-
Grenfell, B.T.1
Bolker, B.M.2
-
31
-
-
0031418824
-
(Meta)population dynamics of infectious diseases
-
Grenfell B.T., and Harwood J. (Meta)population dynamics of infectious diseases. Tree 12 (1997) 395-399
-
(1997)
Tree
, vol.12
, pp. 395-399
-
-
Grenfell, B.T.1
Harwood, J.2
-
32
-
-
20344377406
-
The worldwide air transportation network: anomalous centrality, community structure, and cities' global roles
-
Guimerá R., Mossa S., Turtschi A., and Amaral L.A.N. The worldwide air transportation network: anomalous centrality, community structure, and cities' global roles. Proc. Natl Acad. Sci. USA 102 (2005) 7794-7799
-
(2005)
Proc. Natl Acad. Sci. USA
, vol.102
, pp. 7794-7799
-
-
Guimerá, R.1
Mossa, S.2
Turtschi, A.3
Amaral, L.A.N.4
-
33
-
-
0003753629
-
-
Academic Press, San Diego
-
Hanski I., and Gilpin M.E. Metapopulation Biology: Ecology, Genetics, and Evolution (1997), Academic Press, San Diego
-
(1997)
Metapopulation Biology: Ecology, Genetics, and Evolution
-
-
Hanski, I.1
Gilpin, M.E.2
-
34
-
-
67249083171
-
-
Elsevier, Academic Press, Amsterdam, New York
-
Hanski I., and Gaggiotti O.E. Ecology Genetics and Evolution of Metapopulations (2004), Elsevier, Academic Press, Amsterdam, New York
-
(2004)
Ecology Genetics and Evolution of Metapopulations
-
-
Hanski, I.1
Gaggiotti, O.E.2
-
35
-
-
40849113887
-
-
Harris, T.E., 1989. The theory of branching processes. Dover Publications.
-
Harris, T.E., 1989. The theory of branching processes. Dover Publications.
-
-
-
-
36
-
-
0018247773
-
An immunization model for a heterogeneous population
-
Hethcote H.W. An immunization model for a heterogeneous population. Theor. Popul. Biol. 14 (1978) 338-349
-
(1978)
Theor. Popul. Biol.
, vol.14
, pp. 338-349
-
-
Hethcote, H.W.1
-
37
-
-
33646541387
-
Will travel restrictions control the international spread of pandemic influenza?
-
Hollingsworth T.D., Ferguson N.M., and Anderson R.M. Will travel restrictions control the international spread of pandemic influenza?. Nat. Med 12 (2006) 497-499
-
(2006)
Nat. Med
, vol.12
, pp. 497-499
-
-
Hollingsworth, T.D.1
Ferguson, N.M.2
Anderson, R.M.3
-
38
-
-
6344221308
-
Forecast and control of epidemics in a globalized world
-
Hufnagel L., Brockmann D., and Geisel T. Forecast and control of epidemics in a globalized world. Proc. Natl Acad. Sci. USA 101 (2004) 15124-15129
-
(2004)
Proc. Natl Acad. Sci. USA
, vol.101
, pp. 15124-15129
-
-
Hufnagel, L.1
Brockmann, D.2
Geisel, T.3
-
39
-
-
0033794910
-
Metapopulation moments: coupling, stochasticity and persistence
-
Keeling M.J. Metapopulation moments: coupling, stochasticity and persistence. J. Anim. Ecol. 69 (2000) 725-736
-
(2000)
J. Anim. Ecol.
, vol.69
, pp. 725-736
-
-
Keeling, M.J.1
-
40
-
-
0036168704
-
Estinating spatial coupling in epidemiological systems: a mechanistic approach
-
Keeling M.J., and Rohani P. Estinating spatial coupling in epidemiological systems: a mechanistic approach. Ecol. Lett. 5 (2002) 20-29
-
(2002)
Ecol. Lett.
, vol.5
, pp. 20-29
-
-
Keeling, M.J.1
Rohani, P.2
-
41
-
-
0035927795
-
The web of human sexual contacts
-
Liljeros F., Edling C.R., Amaral L.A.N., Stanley H.E., and Aberg Y. The web of human sexual contacts. Nature 411 (2001) 907-908
-
(2001)
Nature
, vol.411
, pp. 907-908
-
-
Liljeros, F.1
Edling, C.R.2
Amaral, L.A.N.3
Stanley, H.E.4
Aberg, Y.5
-
42
-
-
0000065728
-
Some demographic and genetic consequences of environmental heterogeneity for biological control
-
Levins R. Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am. 15 (1969) 237-240
-
(1969)
Bull. Entomol. Soc. Am.
, vol.15
, pp. 237-240
-
-
Levins, R.1
-
44
-
-
0029980587
-
Spatial heterogeneity in epidemic models
-
Lloyd A.L., and May R.M. Spatial heterogeneity in epidemic models. J. Theor. Biol. 179 (1996) 1-11
-
(1996)
J. Theor. Biol.
, vol.179
, pp. 1-11
-
-
Lloyd, A.L.1
May, R.M.2
-
45
-
-
0035907006
-
How viruses spread among computers and people
-
Lloyd A.L., and May R.M. How viruses spread among computers and people. Science 292 (2001) 1316-1317
-
(2001)
Science
, vol.292
, pp. 1316-1317
-
-
Lloyd, A.L.1
May, R.M.2
-
46
-
-
27844455994
-
Superspreading and the effect of individual variation on disease emergence
-
Lloyd-Smith J.O., Schreiber S.J., Kopp P.E., and Getz W.M. Superspreading and the effect of individual variation on disease emergence. Nature 438 (2005) 355-359
-
(2005)
Nature
, vol.438
, pp. 355-359
-
-
Lloyd-Smith, J.O.1
Schreiber, S.J.2
Kopp, P.E.3
Getz, W.M.4
-
47
-
-
0000099291
-
A mathematical model for predicting the geographic spread of new infectious agents
-
Longini I.M. A mathematical model for predicting the geographic spread of new infectious agents. Math. Biosci. 90 (1988) 367-383
-
(1988)
Math. Biosci.
, vol.90
, pp. 367-383
-
-
Longini, I.M.1
-
49
-
-
0018357820
-
Population biology of infectious diseases part II
-
May R.M., and Anderson R.M. Population biology of infectious diseases part II. Nature 280 (1979) 455-461
-
(1979)
Nature
, vol.280
, pp. 455-461
-
-
May, R.M.1
Anderson, R.M.2
-
50
-
-
0021529194
-
Spatial heterogeneity and the design of immunization programs
-
May R.M., and Anderson R.M. Spatial heterogeneity and the design of immunization programs. Math Biosci. 72 (1984) 83-111
-
(1984)
Math Biosci.
, vol.72
, pp. 83-111
-
-
May, R.M.1
Anderson, R.M.2
-
51
-
-
6344287794
-
Network theory and SARS: predicting outbreak diversity
-
Meyers L.A., Pourbohloul B., Newman M.E.J., Skowronski D.M., and Brunham R.C. Network theory and SARS: predicting outbreak diversity. J. Theor. Biol. 232 (2005) 71-81
-
(2005)
J. Theor. Biol.
, vol.232
, pp. 71-81
-
-
Meyers, L.A.1
Pourbohloul, B.2
Newman, M.E.J.3
Skowronski, D.M.4
Brunham, R.C.5
-
52
-
-
84990671447
-
A critical point for random graphs with a given degree sequence
-
Molloy M., and Reed B. A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6 (1995) 161-179
-
(1995)
Random Struct. Algorithms
, vol.6
, pp. 161-179
-
-
Molloy, M.1
Reed, B.2
-
54
-
-
40849087029
-
-
Murray, J.D., 2005. Mathematical Biology. third ed., Springer, Berlin.
-
Murray, J.D., 2005. Mathematical Biology. third ed., Springer, Berlin.
-
-
-
-
55
-
-
0038718854
-
The structure and function of complex networks
-
Newman M.E.J. The structure and function of complex networks. SIAM Rev. 45 (2003) 167
-
(2003)
SIAM Rev.
, vol.45
, pp. 167
-
-
Newman, M.E.J.1
-
56
-
-
0036847746
-
Extinction times for closed epidemics: the effects of host spatial structure
-
Park A.W., Gubbins S., and Gilligan C.A. Extinction times for closed epidemics: the effects of host spatial structure. Ecol. Lett. 5 (2002) 747-755
-
(2002)
Ecol. Lett.
, vol.5
, pp. 747-755
-
-
Park, A.W.1
Gubbins, S.2
Gilligan, C.A.3
-
57
-
-
0035794256
-
Epidemic spreading in scale-free networks
-
Pastor-Satorras R., and Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86 (2001) 3200-3203
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 3200-3203
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
58
-
-
0035363452
-
Epidemic dynamics and endemic states in complex networks
-
Pastor-Satorras R., and Vespignani A. Epidemic dynamics and endemic states in complex networks. Phys. Rev. E 63 (2001) 066117
-
(2001)
Phys. Rev. E
, vol.63
, pp. 066117
-
-
Pastor-Satorras, R.1
Vespignani, A.2
-
61
-
-
34249883600
-
Large-scale transmission models of ingectious disease
-
Riley S. Large-scale transmission models of ingectious disease. Science 316 (2007) 1298-1301
-
(2007)
Science
, vol.316
, pp. 1298-1301
-
-
Riley, S.1
-
62
-
-
0033615482
-
Opposite patterns of synchrony in sympatric disease metapopulations
-
Rohani P., Earn D.J.D., and Grenfell B.T. Opposite patterns of synchrony in sympatric disease metapopulations. Science 286 (1999) 968-971
-
(1999)
Science
, vol.286
, pp. 968-971
-
-
Rohani, P.1
Earn, D.J.D.2
Grenfell, B.T.3
-
63
-
-
33747161363
-
The effect of global travel on the spread of SARS
-
Ruan S., Wang W., and Levin S. The effect of global travel on the spread of SARS. Math. Biosci. Eng. 3 (2006) 205-218
-
(2006)
Math. Biosci. Eng.
, vol.3
, pp. 205-218
-
-
Ruan, S.1
Wang, W.2
Levin, S.3
-
64
-
-
0022394032
-
A mathematical model for the global spread of influenza
-
Rvachev L.A., and Longini I.M. A mathematical model for the global spread of influenza. Math. Biosci. 75 (1985) 3-22
-
(1985)
Math. Biosci.
, vol.75
, pp. 3-22
-
-
Rvachev, L.A.1
Longini, I.M.2
-
65
-
-
0028989477
-
A structured epidemic model incorporating geographic mobility among regions
-
Sattenspiel L., and Dietz K. A structured epidemic model incorporating geographic mobility among regions. Math. Biosci. 128 (1995) 71-91
-
(1995)
Math. Biosci.
, vol.128
, pp. 71-91
-
-
Sattenspiel, L.1
Dietz, K.2
-
66
-
-
2542440526
-
Scale-free networks and sexually transmitted diseases
-
Schneeberger A., Mercer C.H., Gregson S.A.J., Ferguson N.M., Nyamukapa C.A., Anderson R.M., Johnson A.M., and Garnett G.P. Scale-free networks and sexually transmitted diseases. Sexually Transmitted Dis. 31 (2004) 380-387
-
(2004)
Sexually Transmitted Dis.
, vol.31
, pp. 380-387
-
-
Schneeberger, A.1
Mercer, C.H.2
Gregson, S.A.J.3
Ferguson, N.M.4
Nyamukapa, C.A.5
Anderson, R.M.6
Johnson, A.M.7
Garnett, G.P.8
-
68
-
-
40849118947
-
-
van Kampen, N.G., 1981. Stochastic Processes in Chemistry and Physics. North-Holland, Amstredam, 1981.
-
van Kampen, N.G., 1981. Stochastic Processes in Chemistry and Physics. North-Holland, Amstredam, 1981.
-
-
-
-
69
-
-
32644466558
-
Polynomial growth in age-dependent branching processes with diverging reproductive number
-
Vázquez A. Polynomial growth in age-dependent branching processes with diverging reproductive number. Phys. Rev. Lett. 96 (2006) 038702
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 038702
-
-
Vázquez, A.1
-
70
-
-
33846799101
-
Epidemic outbreaks on structured populations
-
Vázquez A. Epidemic outbreaks on structured populations. J. Theor. Biol. 245 (2007) 125-129
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 125-129
-
-
Vázquez, A.1
-
71
-
-
33646006370
-
Synchrony, waves, and spatial hierarchies in the spread of influenza
-
Viboud C., Bjørnstad O.N., Smith D.L., Simonsen L., Miller M.A., and Grenfell B.T. Synchrony, waves, and spatial hierarchies in the spread of influenza. Science 312 (2006) 447-451
-
(2006)
Science
, vol.312
, pp. 447-451
-
-
Viboud, C.1
Bjørnstad, O.N.2
Smith, D.L.3
Simonsen, L.4
Miller, M.A.5
Grenfell, B.T.6
-
72
-
-
23844456922
-
Multiscale resurgent epidemics in a hierarchical metapopulation model
-
Watts D., Muhamad R., Medina D.C., and Dodds P.S. Multiscale resurgent epidemics in a hierarchical metapopulation model. Proc. Natl Acad. Sci. USA 102 (2005) 11157-11162
-
(2005)
Proc. Natl Acad. Sci. USA
, vol.102
, pp. 11157-11162
-
-
Watts, D.1
Muhamad, R.2
Medina, D.C.3
Dodds, P.S.4
|