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Volumn , Issue , 2009, Pages 85-112

Network concepts and epidemiological models

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EID: 84962054825     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9781848164345_0005     Document Type: Chapter
Times cited : (2)

References (62)
  • 1
    • 0033539175 scopus 로고    scopus 로고
    • Diameter of the World-Wide web
    • R. Albert, H. Jeong, and A.-L. Barabási, Diameter of the World-Wide web, Nature. 401, 130-131, (1999).
    • (1999) Nature , vol.401 , pp. 130-131
    • Albert, R.1    Jeong, H.2    Barabási, A.-L.3
  • 2
    • 0034721164 scopus 로고    scopus 로고
    • Error and attack tolerance of complex networks
    • R. Albert, H. Jeong, and A.-L. Barabási, Error and attack tolerance of complex networks, Nature. 406, 308-382, (2000).
    • (2000) Nature , vol.406 , pp. 308-382
    • Albert, R.1    Jeong, H.2    Barabási, A.-L.3
  • 3
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • R. Albert, and A.-L. Barabási, Statistical mechanics of complex networks, Rev. Mod. Phys. 74, 47-97, (2002).
    • (2002) Rev. Mod. Phys , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 4
    • 0023935392 scopus 로고
    • Epidemiological parameters of HIV transmission
    • R. M. Anderson, and R. M. May, Epidemiological parameters of HIV transmission, Nature. 333, 514-9, (1988).
    • (1988) Nature , vol.333 , pp. 514-519
    • Anderson, R.M.1    May, R.M.2
  • 6
    • 27144455019 scopus 로고    scopus 로고
    • Replicative fitness of historical and recent HIV-1 isolates suggests HIV-1 attenuation over time
    • K. K. Arien, R. M. Troyer, Y. Gali, R. L. Colebunders, E. J. Arts, and G. Vanham, Replicative fitness of historical and recent HIV-1 isolates suggests HIV-1 attenuation over time, Aids. 19, 1555-64, (2005).
    • (2005) Aids , vol.19 , pp. 1555-1564
    • Arien, K.K.1    Troyer, R.M.2    Gali, Y.3    Colebunders, R.L.4    Arts, E.J.5    Vanham, G.6
  • 8
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A-L. Barabási, R. Albert, Emergence of scaling in random networks. Science. 286, 509-12 (1999).
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 9
  • 10
    • 34948820617 scopus 로고    scopus 로고
    • When individual behaviour matters: Homogeneous and network models in epidemiology
    • S. Bansal, B. T. Grenfell, and L. A. Meyers, When individual behaviour matters: homogeneous and network models in epidemiology, J. Roy. Soc. Interface. 4, 879-891, (2007).
    • (2007) J. Roy. Soc. Interface , vol.4 , pp. 879-891
    • Bansal, S.1    Grenfell, B.T.2    Meyers, L.A.3
  • 11
    • 0029654470 scopus 로고
    • Space, persistence and dynamics of measles epidemics
    • B. Bolker, and B. T. Grenfell, Space, persistence and dynamics of measles epidemics, Philos Trans R Soc Lond B Biol Sci. 348, 309-20, (1995).
    • (1995) Philos Trans R Soc Lond B Biol Sci , vol.348 , pp. 309-320
    • Bolker, B.1    Grenfell, B.T.2
  • 12
    • 41349120185 scopus 로고    scopus 로고
    • Percolation critical exponents in scale-free networks
    • R. Cohen, D. Ben-Avraham, and S. Havlin, Percolation critical exponents in scale-free networks, Phys Rev E. 66 (3 Pt 2A): 036113, (2002).
    • (2002) Phys Rev E , vol.66 , Issue.3
    • Cohen, R.1    Ben-Avraham, D.2    Havlin, S.3
  • 13
    • 0346408951 scopus 로고    scopus 로고
    • The diameter of sparse random graphs
    • F. Chung, and L. Lu, The diameter of sparse random graphs, Adv. Appl. Math. 26, (2001).
    • (2001) Adv. Appl. Math , vol.26
    • Chung, F.1    Lu, L.2
  • 16
    • 0025159677 scopus 로고
    • On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
    • O. Diekmann, J. A. P. Heesterbeek, and J. A. J. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28, 365-382, (1990).
    • (1990) J. Math. Biol , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.J.3
  • 17
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • R. Durrett, and S. A. Levin, The importance of being discrete (and spatial), Theor. Popul. Biol. 46, 363-394, (1994).
    • (1994) Theor. Popul. Biol , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.A.2
  • 18
    • 0023728232 scopus 로고    scopus 로고
    • Epidemiological models for sexually transmitted diseases
    • K. Dietz, and K. P. Hadeler, Epidemiological models for sexually transmitted diseases, J. Math. Biol. 26, 1-25, (1998).
    • (1998) J. Math. Biol , vol.26 , pp. 1-25
    • Dietz, K.1    Hadeler, K.P.2
  • 19
    • 0345830673 scopus 로고    scopus 로고
    • Contact tracing and disease control
    • K. T. Eames, and M. J. Keeling, Contact tracing and disease control, Proc. Roy. Soc. B. 270, 2565-71, (2003).
    • (2003) Proc. Roy. Soc. B , vol.270 , pp. 2565-2571
    • Eames, K.T.1    Keeling, M.J.2
  • 20
    • 1942503245 scopus 로고    scopus 로고
    • Monogamous networks and the spread of sexually transmitted diseases
    • K. T. Eames, and M. J. Keeling, Monogamous networks and the spread of sexually transmitted diseases, Math. Biosci. 189, 115-30, (2004).
    • (2004) Math. Biosci , vol.189 , pp. 115-130
    • Eames, K.T.1    Keeling, M.J.2
  • 23
    • 0035843902 scopus 로고    scopus 로고
    • The foot-and-mouth epidemic in Great Britain: Pattern of spread and impact of interventions
    • N. M. Ferguson, C. A. Donnelly, and R. M. Anderson, The foot-and-mouth epidemic in Great Britain: Pattern of spread and impact of interventions, Science. 292, 1155-1160, (2001).
    • (2001) Science , vol.292 , pp. 1155-1160
    • Ferguson, N.M.1    Donnelly, C.A.2    Anderson, R.M.3
  • 25
    • 0031036093 scopus 로고    scopus 로고
    • The role of sexual partnership networks in the epidemiology of gonorrhea
    • A. C. Ghani, J. Swinton, and G. P. Garnett, The role of sexual partnership networks in the epidemiology of gonorrhea, Sex. Transm. Dis. 24, 45-56, (1997).
    • (1997) Sex. Transm. Dis , vol.24 , pp. 45-56
    • Ghani, A.C.1    Swinton, J.2    Garnett, G.P.3
  • 27
    • 33644882541 scopus 로고    scopus 로고
    • Parameterisation of Individual-Based Models
    • D. M. Green, I. Z. Kiss, and R. R. Kao, Parameterisation of Individual-Based Models. J. Theor. Biol. 236, 289-297, (2006).
    • (2006) J. Theor. Biol , vol.236 , pp. 289-297
    • Green, D.M.1    Kiss, I.Z.2    Kao, R.R.3
  • 28
    • 0035856957 scopus 로고    scopus 로고
    • Travelling waves and spatial hierarchies in measles epidemics
    • B. T. Grenfell, O. N. Bjornstad, and J. Kappey, Travelling waves and spatial hierarchies in measles epidemics, Nature. 414, 716-723, (2001).
    • (2001) Nature , vol.414 , pp. 716-723
    • Grenfell, B.T.1    Bjornstad, O.N.2    Kappey, J.3
  • 29
    • 4344701248 scopus 로고    scopus 로고
    • On the aftermath of the UK Foot-and-Mouth Disease outbreak
    • D. T. Haydon, R. R. Kao, and P. Kitching, On the aftermath of the UK Foot-and-Mouth Disease outbreak, Nature Reviews Microbiology. 2, 675-681, (2004).
    • (2004) Nature Reviews Microbiology , vol.2 , pp. 675-681
    • Haydon, D.T.1    Kao, R.R.2    Kitching, P.3
  • 30
    • 33847405628 scopus 로고    scopus 로고
    • The type-reproduction number T in models for infectious disease control
    • J. A. P. Heesterbeek, and M. G. Roberts, The type-reproduction number T in models for infectious disease control, Math. Biosci. 206, 3-10, (2007).
    • (2007) Math. Biosci , vol.206 , pp. 3-10
    • Heesterbeek, J.A.P.1    Roberts, M.G.2
  • 31
    • 0020097236 scopus 로고
    • Gonorrhea modeling: A comparison of control methods
    • H. W. Hethcote, J. A. Yorke, and A. Nold, Gonorrhea modeling: a comparison of control methods, Math. Biosci. 58, 93-109, (1982).
    • (1982) Math. Biosci , vol.58 , pp. 93-109
    • Hethcote, H.W.1    Yorke, J.A.2    Nold, A.3
  • 32
    • 33646986376 scopus 로고    scopus 로고
    • Contact tracing and epidemics control in social networks
    • R. Huerta, and L. S. Tsimring, Contact tracing and epidemics control in social networks, Phys. Rev. E. 66, 056115, (2002).
    • (2002) Phys. Rev. E , vol.66
    • Huerta, R.1    Tsimring, L.S.2
  • 33
    • 0037526119 scopus 로고    scopus 로고
    • An assessment of preferential attachment as a mechanism for human sexual network formation
    • H. J. Jones, and M. S. Handcock, An assessment of preferential attachment as a mechanism for human sexual network formation, Proc. R. Soc. Lond. B. 270, 1123-1128, (2003).
    • (2003) Proc. R. Soc. Lond. B , vol.270 , pp. 1123-1128
    • Jones, H.J.1    Handcock, M.S.2
  • 34
    • 0037834802 scopus 로고    scopus 로고
    • Social networks: Sexual contacts and epidemic thresholds
    • J. H. Jones, and M. S. Handcock, Social networks: Sexual contacts and epidemic thresholds, Nature. 423, 605-6, (2003).
    • (2003) Nature , vol.423 , pp. 605-606
    • Jones, J.H.1    Handcock, M.S.2
  • 35
    • 33747053644 scopus 로고    scopus 로고
    • Demographic structure and pathogen dynamics on the network of livestock movements in Great Britain
    • R. R. Kao, L. Danon, D. M. Green, and I. Z. Kiss, Demographic structure and pathogen dynamics on the network of livestock movements in Great Britain, Proc. R. Soc. B. 273, 1999-2007, (2006).
    • (2006) Proc. R. Soc. B , vol.273 , pp. 1999-2007
    • Kao, R.R.1    Danon, L.2    Green, D.M.3    Kiss, I.Z.4
  • 36
    • 33747887800 scopus 로고    scopus 로고
    • Evolution of Pathogens towards low R0
    • R. R. Kao, Evolution of Pathogens towards low R0: J. Theor. Biol. 242, 634-642 (2006).
    • (2006) J. Theor. Biol , vol.242 , pp. 634-642
    • Kao, R.R.1
  • 37
    • 0030823785 scopus 로고    scopus 로고
    • Correlation models for childhood epidemics
    • M. J. Keeling, D. A. Rand, and A. J. Morris, Correlation models for childhood epidemics, Proc. R. Soc. B. 264, 1149-1156, (1997).
    • (1997) Proc. R. Soc. B , vol.264 , pp. 1149-1156
    • Keeling, M.J.1    Rand, D.A.2    Morris, A.J.3
  • 38
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • M. J. Keeling, The effects of local spatial structure on epidemiological invasions, Proc. R. Soc. B. 266, 859-67, (1999).
    • (1999) Proc. R. Soc. B , vol.266 , pp. 859-867
    • Keeling, M.J.1
  • 39
    • 0034615510 scopus 로고    scopus 로고
    • Individual-based perspectives on R0
    • M. J. Keeling, and B. T. Grenfell, Individual-based perspectives on R0, J. Theor. Biol. 203, 51-61, (2000).
    • (2000) J. Theor. Biol , vol.203 , pp. 51-61
    • Keeling, M.J.1    Grenfell, B.T.2
  • 41
    • 0000998185 scopus 로고
    • A contribution to the mathematical study of epidemics
    • W. O. Kermack, and A. G. McKendrick, A contribution to the mathematical study of epidemics, Proc. R. Soc. London Ser. A. 115, 700-721, (1927).
    • (1927) Proc. R. Soc. London Ser. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 42
    • 24044463924 scopus 로고    scopus 로고
    • Disease contact tracing in random and clustered networks
    • I. Z. Kiss, D. M. Green, and R. R. Kao, Disease contact tracing in random and clustered networks, Proc. R. Soc. B. 272, 1407-14, (2005).
    • (2005) Proc. R. Soc. B , vol.272 , pp. 1407-1414
    • Kiss, I.Z.1    Green, D.M.2    Kao, R.R.3
  • 43
    • 33748186988 scopus 로고    scopus 로고
    • The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
    • I. Z. Kiss, D. M. Green, and R. R. Kao, The effect of contact heterogeneity and multiple routes of transmission on final epidemic size, Math. Biosci. 203, 124-36, (2006).
    • (2006) Math. Biosci , vol.203 , pp. 124-136
    • Kiss, I.Z.1    Green, D.M.2    Kao, R.R.3
  • 44
    • 33747081546 scopus 로고    scopus 로고
    • Disease Contact Tracing in Random and Scale-Free Networks
    • I. Z. Kiss, D. M. Green, and R. R. Kao, Disease Contact Tracing in Random and Scale-Free Networks, J. Roy. Soc. Interface. 3, 55-62, (2006).
    • (2006) J. Roy. Soc. Interface , vol.3 , pp. 55-62
    • Kiss, I.Z.1    Green, D.M.2    Kao, R.R.3
  • 46
    • 0000065728 scopus 로고
    • Some demographic and genetic consequences of environmental heterogeneity for biological control
    • R. Levins, Some demographic and genetic consequences of environmental heterogeneity for biological control, Bull. Entomol. Soc. Am. 15, 237-240, (1969).
    • (1969) Bull. Entomol. Soc. Am , vol.15 , pp. 237-240
    • Levins, R.1
  • 48
    • 0035689341 scopus 로고    scopus 로고
    • Infection dynamics on scale-free networks
    • R. M. May, and A. L. Lloyd, Infection dynamics on scale-free networks, Phys. Rev. E. 64, 066112, (2001).
    • (2001) Phys. Rev. E , vol.64
    • May, R.M.1    Lloyd, A.L.2
  • 49
    • 0037324329 scopus 로고    scopus 로고
    • Applying Network Theory to Epidemics: Control Measures for Mycoplasma pneumoniae Outbreaks
    • L. A. Meyers, M. E. J Newman, M. Martin, and S. Schrag, Applying Network Theory to Epidemics: Control Measures for Mycoplasma pneumoniae Outbreaks, Emerging Infectious Diseases. 9, 204-210, (2003).
    • (2003) Emerging Infectious Diseases , vol.9 , pp. 204-210
    • Meyers, L.A.1    Newman, M.E.J.2    Martin, M.3    Schrag, S.4
  • 50
    • 0034310659 scopus 로고    scopus 로고
    • Exact solution of site and bond percolation on smallworld networks
    • C. Moore, and M. E. J Newman, Exact solution of site and bond percolation on smallworld networks, Phys. Rev. E. 62, 7059-64, (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 7059-7064
    • Moore, C.1    Newman, M.E.J.2
  • 51
    • 0035420732 scopus 로고    scopus 로고
    • Random graphs with arbitrary degree distributions and their applications
    • M. E. J Newman, S. H. Strogatz, and D. J. Watts, Random graphs with arbitrary degree distributions and their applications, Phys. Rev. E. 64, 026118, (2001).
    • (2001) Phys. Rev. E , vol.64
    • Newman, M.E.J.1    Strogatz, S.H.2    Watts, D.J.3
  • 52
    • 0031002324 scopus 로고    scopus 로고
    • Concurrent partnerships and the spread of HIV
    • M. Morris, and M. Kretzschmar, Concurrent partnerships and the spread of HIV, Aids. 11, 641-8, (1997).
    • (1997) Aids , vol.11 , pp. 641-648
    • Morris, M.1    Kretzschmar, M.2
  • 53
    • 33747599418 scopus 로고    scopus 로고
    • Space and contact networks: Capturing the locality of disease transmission
    • P. E. Parham, and N. M. Ferguson, Space and contact networks: capturing the locality of disease transmission, J. R. Soc. Interface. 3, 483-93, (2006).
    • (2006) J.R. Soc. Interface , vol.3 , pp. 483-493
    • Parham, P.E.1    Ferguson, N.M.2
  • 54
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • R. Pastor-Satorras, and A. Vespignani, Epidemic spreading in scale-free networks, Phys. Rev. Lett. 86, 3200, (2001).
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3200
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 55
    • 0027136729 scopus 로고
    • Bluff your way in epidemic models
    • M. Roberts, and H. Heesterbeek, Bluff your way in epidemic models, Trends Microbiol. 1, 343-348, (1993).
    • (1993) Trends Microbiol , vol.1 , pp. 343-348
    • Roberts, M.1    Heesterbeek, H.2
  • 56
    • 0037963623 scopus 로고    scopus 로고
    • A new method for estimating the effort required to control an infectious disease
    • M. G. Roberts, and J. A. P. Heesterbeek, A new method for estimating the effort required to control an infectious disease, Proc. Biol Sci. 270, 1359-1364, (2003).
    • (2003) Proc. Biol Sci , vol.270 , pp. 1359-1364
    • Roberts, M.G.1    Heesterbeek, J.A.P.2
  • 59
    • 33846566796 scopus 로고    scopus 로고
    • On analytical approaches to epidemics on networks
    • P. Trapman, On analytical approaches to epidemics on networks, Theor. Popul. Biol. 71, 160-173, (2007).
    • (2007) Theor. Popul. Biol , vol.71 , pp. 160-173
    • Trapman, P.1
  • 60
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. van den Driessche, and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180, 29-48, (2002).
    • (2002) Math. Biosci , vol.180 , pp. 29-48
    • Van den Driessche, P.1    Watmough, J.2
  • 61
    • 0026505445 scopus 로고
    • The inuence of concurrent partnerships on the dynamics of HIV/AIDS
    • C. H. Watts, and R. M. May, The inuence of concurrent partnerships on the dynamics of HIV/AIDS, Math. Biosci. 108, 89-104, (1992).
    • (1992) Math. Biosci , vol.108 , pp. 89-104
    • Watts, C.H.1    May, R.M.2
  • 62
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • D. J. Watts, and S. H. Strogatz, Collective dynamics of 'small-world' networks, Nature. 393, 440-442, (1998).
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2


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