-
1
-
-
0036013593
-
Statistical mechanics of complex networks
-
doi:10.1103/RevModPhys.74.47
-
Albert, R. & Barabási, A.-L. 2002 Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47-97. (doi:10.1103/RevModPhys.74.47)
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 47-97
-
-
Albert, R.1
Barabási, A.-L.2
-
2
-
-
0025246184
-
The significance of sexual partner contact networks for the transmission dynamics of HIV
-
Anderson, R. M. & Gupta, S. 1990 The significance of sexual partner contact networks for the transmission dynamics of HIV. J. Acquir. Immune Defic. Syndr. 3, 417-429.
-
(1990)
J. Acquir. Immune Defic. Syndr.
, vol.3
, pp. 417-429
-
-
Anderson, R.M.1
Gupta, S.2
-
4
-
-
1642308591
-
The architecture of complex weighted networks
-
doi:10.1073/pnas.0400087101
-
Barrat, A., Barthelemy, M., Pastor-Satorras, R. & Vespignani, A. 2004 The architecture of complex weighted networks. Proc. Natl Acad. Sci. USA 101, 3747-3752. (doi:10.1073/pnas.0400087101)
-
(2004)
Proc. Natl Acad. Sci. USA
, vol.101
, pp. 3747-3752
-
-
Barrat, A.1
Barthelemy, M.2
Pastor-Satorras, R.3
Vespignani, A.4
-
5
-
-
0038647636
-
Using network models to approximate spatial point-process models
-
doi:10.1016/S0025-5564(03)00042-7
-
Bauch, C. T. & Galvani, A. P. 2003 Using network models to approximate spatial point-process models. Math. Biosci. 184, 101-114. (doi:10.1016/S0025-5564(03)00042-7)
-
(2003)
Math. Biosci.
, vol.184
, pp. 101-114
-
-
Bauch, C.T.1
Galvani, A.P.2
-
6
-
-
0034619094
-
A moment closure model for sexually transmitted disease transmission through a concurrent partnership network
-
Bauch, C. & Rand, A. 2000 A moment closure model for sexually transmitted disease transmission through a concurrent partnership network. Proc. R. Soc. B 267, 2019-2027.
-
(2000)
Proc. R. Soc. B
, vol.267
, pp. 2019-2027
-
-
Bauch, C.1
Rand, A.2
-
7
-
-
0032836074
-
Analytic models for the patchy spread of plant disease
-
doi:10.1006/bulm.1999.0115
-
Bolker, B. M. 1999 Analytic models for the patchy spread of plant disease. Bull. Math. Biol. 61, 849-874. (doi:10.1006/bulm.1999.0115)
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 849-874
-
-
Bolker, B.M.1
-
8
-
-
0346338088
-
Combining endogenous and exogenous spatial variability in analytical population models
-
doi:10.1016/S0040-5809(03)00090-X
-
Bolker, B. M. 2003 Combining endogenous and exogenous spatial variability in analytical population models. Theor. Popul. Biol. 64, 255-270. (doi:10.1016/S0040-5809(03)00090-X)
-
(2003)
Theor. Popul. Biol.
, vol.64
, pp. 255-270
-
-
Bolker, B.M.1
-
9
-
-
0029654470
-
Space, persistence and dynamics of measles epidemics
-
Bolker, B. & Grenfell, B. 1995 Space, persistence and dynamics of measles epidemics. Phil. Trans. R. Soc. B 348, 309-320.
-
(1995)
Phil. Trans. R. Soc. B
, vol.348
, pp. 309-320
-
-
Bolker, B.1
Grenfell, B.2
-
10
-
-
0031408804
-
Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
-
doi:10.1006/tpbi.1997.1331
-
Bolker, B. & Pacala, S. W. 1997 Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Popul. Biol. 52, 179-197. (doi:10.1006/tpbi.1997.1331)
-
(1997)
Theor. Popul. Biol.
, vol.52
, pp. 179-197
-
-
Bolker, B.1
Pacala, S.W.2
-
11
-
-
0032783836
-
Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal
-
doi:10.1086/303199
-
Bolker, B. M. & Pacala, S. W. 1999 Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal. Am. Nat. 153, 575-602. (doi:10.1086/303199)
-
(1999)
Am. Nat.
, vol.153
, pp. 575-602
-
-
Bolker, B.M.1
Pacala, S.W.2
-
12
-
-
0001585990
-
Moment methods for ecological processes in continuous space
-
(ed. U. Dieckmann, R. Law & J. A. J. Metz), ch. 20. Cambridge, UK: Cambridge University Press
-
Bolker, B. M., Pacala, S. W. & Levin, S. A. 2000 Moment methods for ecological processes in continuous space. In The geometry of ecological interactions (ed. U. Dieckmann, R. Law & J. A. J. Metz), ch. 20, pp. 388-411. Cambridge, UK: Cambridge University Press.
-
(2000)
The Geometry of Ecological Interactions
, pp. 388-411
-
-
Bolker, B.M.1
Pacala, S.W.2
Levin, S.A.3
-
14
-
-
0001398884
-
Relaxation projections and the method of moments
-
(ed. U. Dieckmann, R. Law & J. A. J. Metz), ch. 21. Cambridge, UK: Cambridge University Press
-
Dieckmann, U. & Law, R. 2000 Relaxation projections and the method of moments. In The geometry of ecological interactions-simplifying spatial complexity (ed. U. Dieckmann, R. Law & J. A. J. Metz), ch. 21, pp. 412-455. Cambridge, UK: Cambridge University Press.
-
(2000)
The Geometry of Ecological Interactions - Simplifying Spatial Complexity
, pp. 412-455
-
-
Dieckmann, U.1
Law, R.2
-
15
-
-
0003685305
-
-
Dieckmann, U., Law, R. & Metz, J. A. J. (eds). Cambridge, UK: Cambridge University Press
-
Dieckmann, U., Law, R. & Metz, J. A. J. (eds) 2000 The geometry of ecological interactions: simplifying spatial complexity. Cambridge, UK: Cambridge University Press.
-
(2000)
The Geometry of Ecological Interactions: Simplifying Spatial Complexity
-
-
-
16
-
-
0036610173
-
Evolution of networks
-
doi:10.1080/00018730110112519
-
Dorogovtsev, S. N. & Mendes, J. F. F. 2002 Evolution of networks. Adv. Phys. 51, 1079-1187. (doi:10.1080/00018730110112519)
-
(2002)
Adv. Phys.
, vol.51
, pp. 1079-1187
-
-
Dorogovtsev, S.N.1
Mendes, J.F.F.2
-
17
-
-
0028248821
-
The importance of being discrete (and spatial)
-
doi:10.1006/tpbi.1994.1032
-
Durrett, R. & Levin, S. A. 1994 The importance of being discrete (and spatial). Theor. Popul. Biol. 46, 363-394. (doi:10.1006/tpbi.1994.1032)
-
(1994)
Theor. Popul. Biol.
, vol.46
, pp. 363-394
-
-
Durrett, R.1
Levin, S.A.2
-
19
-
-
0033727461
-
More realistic models of sexually transmitted disease transmission dynamics: Sexual partnership networks, pair models, and moment closure
-
Ferguson, N. M. & Garnett, G. P. 2000 More realistic models of sexually transmitted disease transmission dynamics: sexual partnership networks, pair models, and moment closure. Sex. Transm. Dis. 27(10), 600-609.
-
(2000)
Sex. Transm. Dis.
, vol.27
, Issue.10
, pp. 600-609
-
-
Ferguson, N.M.1
Garnett, G.P.2
-
20
-
-
0035843902
-
The foot-and-mouth epidemic in great Britain: Pattern of spread and impact of interventions
-
doi:10.1126/science.1061020
-
Ferguson, N. M., Donnelly, C. A. & Anderson, R. M. 2001a The foot-and-mouth epidemic in great Britain: pattern of spread and impact of interventions. Science 292, 1155-1160. (doi:10.1126/science.1061020)
-
(2001)
Science
, vol.292
, pp. 1155-1160
-
-
Ferguson, N.M.1
Donnelly, C.A.2
Anderson, R.M.3
-
21
-
-
0035807295
-
Transmission intensity and impact of control policies on the foot and mouth epidemic in great Britain
-
doi:10.1038/35097116
-
Ferguson, N. M., Donnelly, C. A. & Anderson, R. M. 2001b Transmission intensity and impact of control policies on the foot and mouth epidemic in great Britain. Nature 413, 542-548. (doi:10.1038/35097116)
-
(2001)
Nature
, vol.413
, pp. 542-548
-
-
Ferguson, N.M.1
Donnelly, C.A.2
Anderson, R.M.3
-
22
-
-
3843076451
-
On 'analytical models for the patchy spread of plant disease'
-
doi:10.1016/j.bulm.2003.11.001
-
Filipe, J. A. N., Maule, M. M. & Gilligan, C. A. 2004 On 'analytical models for the patchy spread of plant disease'. Bull. Math. Biol. 66, 1027-1037. (doi:10.1016/j.bulm.2003.11.001)
-
(2004)
Bull. Math. Biol.
, vol.66
, pp. 1027-1037
-
-
Filipe, J.A.N.1
Maule, M.M.2
Gilligan, C.A.3
-
23
-
-
0019887873
-
Forecasting the airborne spread of foot-and-mouth disease
-
Gloster, J., Blackall, R. M., Sellers, R. F. & Donaldson, A. 1981 Forecasting the airborne spread of foot-and-mouth disease. Vet. Record 108, 370-374.
-
(1981)
Vet. Record
, vol.108
, pp. 370-374
-
-
Gloster, J.1
Blackall, R.M.2
Sellers, R.F.3
Donaldson, A.4
-
24
-
-
33644882541
-
In press. Parameterization individual-based models: Comparisons with deterministic mean-field models
-
Green, D. M., Kiss, I. Z. & Kao R. R. In press. Parameterization individual-based models: comparisons with deterministic mean-field models. J. Theor. Biol.
-
J. Theor. Biol.
-
-
Green, D.M.1
Kiss, I.Z.2
Kao, R.R.3
-
25
-
-
3042645187
-
Spatial heterogeneity and the persistence of infectious diseases
-
doi:10.1016/j.jtbi.2004.04.002
-
Hagenaars, T. J., Donnelly, C. A. & Ferguson, N. M. 2004 Spatial heterogeneity and the persistence of infectious diseases. J. Theor. Biol. 229, 349-359. (doi:10.1016/j.jtbi.2004.04.002)
-
(2004)
J. Theor. Biol.
, vol.229
, pp. 349-359
-
-
Hagenaars, T.J.1
Donnelly, C.A.2
Ferguson, N.M.3
-
26
-
-
0001065254
-
Spatial heterogeneity and ecological models
-
Hastings, A. 1990 Spatial heterogeneity and ecological models. Ecology 71, 426-428.
-
(1990)
Ecology
, vol.71
, pp. 426-428
-
-
Hastings, A.1
-
27
-
-
0014807005
-
Studies on the 1967-8 foot-and-mouth disease epidemic. The relation of weather to the spread of disease
-
Hugh-Jones, M. E. & Wright, P. B. 1970 Studies on the 1967-8 foot-and-mouth disease epidemic. The relation of weather to the spread of disease. J. Hyg. 68, 253-271.
-
(1970)
J. Hyg.
, vol.68
, pp. 253-271
-
-
Hugh-Jones, M.E.1
Wright, P.B.2
-
28
-
-
0027947955
-
Space: The final frontier for ecological theory
-
Kareiva, P. 1994 Space: the final frontier for ecological theory. Ecology 75, 1.
-
(1994)
Ecology
, vol.75
, pp. 1
-
-
Kareiva, P.1
-
29
-
-
0002469380
-
Spatial models of interacting populations
-
(ed. J. McGlade), ch. 3. Oxford: Blackwell Science
-
Keeling, M. 1999a Spatial models of interacting populations. In Advanced ecological theory: principles and applications (ed. J. McGlade), ch. 3, pp. 64-99. Oxford: Blackwell Science.
-
(1999)
Advanced Ecological Theory: Principles and Applications
, pp. 64-99
-
-
Keeling, M.1
-
30
-
-
0033594451
-
The effects of local spatial structure on epidemiological invasions
-
doi:10.1098/rspb.1999.0716
-
Keeling, M. J. 1999b The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. B 266, 859-867. (doi:10.1098/rspb.1999. 0716)
-
(1999)
Proc. R. Soc. B
, vol.266
, pp. 859-867
-
-
Keeling, M.J.1
-
31
-
-
33646893242
-
Networks and epidemic models
-
doi:10.1098.rsif.2005.0051
-
Keeling, M. J. & Eames, K. T. D. 2005 Networks and epidemic models. J. R. Soc. Interface 2, 295-307. (doi:10.1098.rsif.2005.0051)
-
(2005)
J. R. Soc. Interface
, vol.2
, pp. 295-307
-
-
Keeling, M.J.1
Eames, K.T.D.2
-
32
-
-
0030823785
-
Correlation models for childhood epidemics
-
doi:10.1098/rspb.1997.0159
-
Keeling, M. J., Rand, D. A. & Morris, A. J. 1997 Correlation models for childhood epidemics. Proc. R. Soc. B 264, 1149-1156. (doi:10.1098/rspb.1997. 0159)
-
(1997)
Proc. R. Soc. B
, vol.264
, pp. 1149-1156
-
-
Keeling, M.J.1
Rand, D.A.2
Morris, A.J.3
-
33
-
-
0035955427
-
Dynamics of the 2001 UK foot and mouth epidemic: Stochastic dispersal in a heterogeneous landscape
-
doi:10.1126/science.1065973
-
Keeling, M. J. et al. 2001 Dynamics of the 2001 UK foot and mouth epidemic: Stochastic dispersal in a heterogeneous landscape. Science 294, 813-817. (doi:10.1126/science.1065973)
-
(2001)
Science
, vol.294
, pp. 813-817
-
-
Keeling, M.J.1
-
34
-
-
33646471468
-
Statistical mechanics of fluid mixtures
-
doi:10.1063/1.1749657
-
Kirkwood, J. G. 1935 Statistical mechanics of fluid mixtures. J. Chem. Phys. 3, 300-313. (doi:10.1063/1.1749657)
-
(1935)
J. Chem. Phys.
, vol.3
, pp. 300-313
-
-
Kirkwood, J.G.1
-
35
-
-
0029662516
-
Measures of concurrency in networks and the spread of infectious disease
-
doi:10.1016/0025-5564(95)00093-3
-
Kretzschmar, M. & Morris, M. 1996 Measures of concurrency in networks and the spread of infectious disease. Math. Biosci. 133, 165-195. (doi:10.1016/0025-5564(95)00093-3)
-
(1996)
Math. Biosci.
, vol.133
, pp. 165-195
-
-
Kretzschmar, M.1
Morris, M.2
-
36
-
-
0041313947
-
Population growth in space and time: The spatial logistic equations
-
Law, R., Murrell, D. J. & Dieckmann, U. 2003 Population growth in space and time: the spatial logistic equations. Ecology 84, 252-262.
-
(2003)
Ecology
, vol.84
, pp. 252-262
-
-
Law, R.1
Murrell, D.J.2
Dieckmann, U.3
-
37
-
-
0029980587
-
Spatial heterogeneity in epidemic models
-
doi:10.1006/jtbi.1996.0042
-
Lloyd, A. L. & May, R. M. 1996 Spatial heterogeneity in epidemic models. J. Theor. Biol. 179, 1-11. (doi:10.1006/jtbi.1996.0042)
-
(1996)
J. Theor. Biol.
, vol.179
, pp. 1-11
-
-
Lloyd, A.L.1
May, R.M.2
-
38
-
-
0035689341
-
Infection dynamics on scale-free networks
-
doi:10.1103/PhysRevE.64.066112
-
May, R. M. & Lloyd, A. L. 2001 Infection dynamics on scale-free networks. Phys. Rev. E 64, 066112. (doi:10.1103/PhysRevE.64.066112)
-
(2001)
Phys. Rev. E
, vol.64
, pp. 066112
-
-
May, R.M.1
Lloyd, A.L.2
-
40
-
-
0000644794
-
Spatial contact models for ecological and epidemic spread
-
Mollison, D. 1977 Spatial contact models for ecological and epidemic spread. J. R. Stat. Soc. B 39, 283-326.
-
(1977)
J. R. Stat. Soc. B
, vol.39
, pp. 283-326
-
-
Mollison, D.1
-
41
-
-
0035806792
-
Predictive spatial modelling of alternative control strategies fot the foot-and-mouth disease epidemic in Great Britain, 2001
-
Morris, R. S. et al. 2001 Predictive spatial modelling of alternative control strategies fot the foot-and-mouth disease epidemic in Great Britain, 2001. Vet. Rec. 149, 137-144.
-
(2001)
Vet. Rec.
, vol.149
, pp. 137-144
-
-
Morris, R.S.1
-
42
-
-
0034121795
-
Beetles in fragmented woodlands: A formal framework for dynamics of movement in ecological landscapes
-
doi:10.1046/j.1365-2656.2000.00409.x
-
Murrell, D. J. & Law, R. 2000 Beetles in fragmented woodlands: a formal framework for dynamics of movement in ecological landscapes. J. Anim. Ecol. 69, 471-483. (doi:10.1046/j.1365-2656.2000.00409.x)
-
(2000)
J. Anim. Ecol.
, vol.69
, pp. 471-483
-
-
Murrell, D.J.1
Law, R.2
-
43
-
-
41349106348
-
Spread of epidemic disease on networks
-
Newman, M. E. J. 2002 Spread of epidemic disease on networks. Phys. Rev. E 66, 16-128.
-
(2002)
Phys. Rev. E
, vol.66
, pp. 16-128
-
-
Newman, M.E.J.1
-
44
-
-
0038718854
-
The structure and function of complex networks
-
doi:10.1137/S003614450342480
-
Newman, M. E. J. 2003 The structure and function of complex networks. SIAM Rev. 45(2), 167-256. (doi:10.1137/S003614450342480)
-
(2003)
SIAM Rev.
, vol.45
, Issue.2
, pp. 167-256
-
-
Newman, M.E.J.1
-
45
-
-
0035420732
-
Random graphs with arbitrary degree distributions and their applications
-
Newman, M. E. J., Strogatz, S. H. & Watts, D. J. 2001 Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 64, 26-118.
-
(2001)
Phys. Rev. E
, vol.64
, pp. 26-118
-
-
Newman, M.E.J.1
Strogatz, S.H.2
Watts, D.J.3
-
46
-
-
0003114479
-
Correlation equations and pair approximations for spatial ecologies
-
(ed. J. McGlade), ch. 4. Oxford: Blackwell Science
-
Rand, D. A. 1999 Correlation equations and pair approximations for spatial ecologies. In Advanced ecological theory-principles and applications (ed. J. McGlade), ch. 4, pp. 100-142. Oxford: Blackwell Science.
-
(1999)
Advanced Ecological Theory-principles and Applications
, pp. 100-142
-
-
Rand, D.A.1
-
47
-
-
0037424991
-
Disease evolution on networks: The role of contact structure
-
doi:10.1098/rspb.2002.2305
-
Read, J. M. & Keeling, M. J. 2003 Disease evolution on networks: the role of contact structure. Proc. R. Soc. B 270, 699-708. (doi:10.1098/rspb.2002. 2305)
-
(2003)
Proc. R. Soc. B
, vol.270
, pp. 699-708
-
-
Read, J.M.1
Keeling, M.J.2
-
49
-
-
0033199407
-
Human contact patterns and the spread of airborne infectious diseases
-
doi:10.1016/S0966-842X(99)01546-2
-
Wallinga, J., Edmunds, W. J. & Kretzschmar, M. 1999 Human contact patterns and the spread of airborne infectious diseases. Trends Microbiol. 7, 372-377. (doi:10.1016/S0966-842X(99)01546-2)
-
(1999)
Trends Microbiol.
, vol.7
, pp. 372-377
-
-
Wallinga, J.1
Edmunds, W.J.2
Kretzschmar, M.3
-
50
-
-
0032482432
-
Collective dynamics of 'small-world' networks
-
doi:10.1038/30918
-
Watts, D. J. & Strogatz, S. H. 1998 Collective dynamics of 'small-world' networks. Nature 393, 440-442. (doi:10.1038/30918)
-
(1998)
Nature
, vol.393
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
|