메뉴 건너뛰기




Volumn 3, Issue 9, 2006, Pages 483-493

Space and contact networks: Capturing the locality of disease transmission

Author keywords

Contact networks; Epidemic modelling; Foot and mouth disease; Moment closure methods; Spatial kernels; Spatial models

Indexed keywords

DISEASE TRANSMISSION; EPIDEMIC; EPIDEMIOLOGY; FOOT AND MOUTH DISEASE; HUMAN; MATHEMATICAL COMPUTING; METHODOLOGY; POPULATION DYNAMICS; POPULATION SIZE; REVIEW; SIMULATION; STATISTICAL ANALYSIS; STATISTICAL MODEL; STOCHASTIC MODEL;

EID: 33747599418     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2005.0105     Document Type: Review
Times cited : (38)

References (51)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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
  • 5
    • 0038647636 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 16
    • 0036610173 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.