메뉴 건너뛰기




Volumn 53, Issue 3, 2012, Pages 213-225

Modelling epidemics on networks

Author keywords

epidemic; model; networks; susceptible infectious recovered

Indexed keywords


EID: 84862623915     PISSN: 00107514     EISSN: 13665812     Source Type: Journal    
DOI: 10.1080/00107514.2011.644443     Document Type: Review
Times cited : (37)

References (28)
  • 1
    • 54149090275 scopus 로고    scopus 로고
    • World Health Organization Available at
    • World Health Organization. 2008. The global burden of disease: 2004 update Available at http://www. who.int/healthinfo/global_burden_disease/2004_report_ update/en/index.html
    • (2008) The global burden of disease: 2004 update
  • 5
    • 84929729015 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Durrett, R. 2007. Random Graph Dynamics, Cambridge: Cambridge University Press.
    • (2007) Random Graph Dynamics
    • Durrett, R.1
  • 7
    • 68149175051 scopus 로고    scopus 로고
    • Integrating stochasticity and network structure into an epidemic model
    • Dangerfield, C., Ross, J. and Keeling, M. 2009. Integrating stochasticity and network structure into an epidemic model. J. R. Soc. Interface, 6(38): 761-774.
    • (2009) J. R. Soc. Interface , vol.6 , Issue.38 , pp. 761-774
    • Dangerfield, C.1    Ross, J.2    Keeling, M.3
  • 8
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • Keeling, M.J. 1999. The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. B, 266(1421): 859-867.
    • (1999) Proc. R. Soc. B , vol.266 , Issue.1421 , pp. 859-867
    • Keeling, M.J.1
  • 9
    • 84990671447 scopus 로고
    • A critical-point for random graphs with a given degree sequence
    • Molloy, M. and Reed, B. 1995. A critical-point for random graphs with a given degree sequence. Random Struct. Algorithms, 6: 161-179.
    • (1995) Random Struct. Algorithms , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2
  • 10
    • 39649125153 scopus 로고    scopus 로고
    • Network epidemic models with two levels of mixing
    • Ball, F. and Neal, P. 2008. Network epidemic models with two levels of mixing. Math. Biosci, 212(1): 69-87.
    • (2008) Math. Biosci , vol.212 , Issue.1 , pp. 69-87
    • Ball, F.1    Neal, P.2
  • 11
    • 36749049140 scopus 로고    scopus 로고
    • SIR dynamics in random networks with heterogeneous connectivity
    • Volz, E. 2008. SIR dynamics in random networks with heterogeneous connectivity. J. Math. Biol, 56(3): 293-310.
    • (2008) J. Math. Biol , vol.56 , Issue.3 , pp. 293-310
    • Volz, E.1
  • 12
    • 0038752085 scopus 로고    scopus 로고
    • Mixing patterns in networks
    • Newman, M.E.J. 2003. Mixing patterns in networks. Phys. Rev. E, 67: 026126
    • (2003) Phys. Rev. E , vol.67 , pp. 026126
    • Newman, M.E.J.1
  • 13
    • 0036790984 scopus 로고    scopus 로고
    • Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases
    • Eames, K. and Keeling, M. 2002. Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases. Proc. Natl. Acad. Sci. U.S.A, 99(20): 13330-13335.
    • (2002) Proc. Natl. Acad. Sci. U.S.A , vol.99 , Issue.20 , pp. 13330-13335
    • Eames, K.1    Keeling, M.2
  • 14
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts, D.J. and Strogatz, S.H. 1998. Collective dynamics of 'small-world' networks. Nature, 393: 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 15
    • 68649124583 scopus 로고    scopus 로고
    • Random graphs with clustering
    • Newman, M. 2009. Random graphs with clustering. Phys. Rev. Lett, 103(5): 1-4.
    • (2009) Phys. Rev. Lett , vol.103 , Issue.5 , pp. 1-4
    • Newman, M.1
  • 16
    • 77549087023 scopus 로고    scopus 로고
    • Percolation and epidemics in random clustered networks
    • Miller, J. 2009. Percolation and epidemics in random clustered networks. Phys. Rev. E, 80(2): 1-4.
    • (2009) Phys. Rev. E , vol.80 , Issue.2 , pp. 1-4
    • Miller, J.1
  • 17
    • 74749095540 scopus 로고    scopus 로고
    • Threshold behaviour and final outcome of an epidemic on a random network with household structure
    • Ball, F., Sirl, D. and Trapman, P. 2009. Threshold behaviour and final outcome of an epidemic on a random network with household structure. Adv. Appl. Probab, 41(3): 765-796.
    • (2009) Adv. Appl. Probab , vol.41 , Issue.3 , pp. 765-796
    • Ball, F.1    Sirl, D.2    Trapman, P.3
  • 18
    • 77549085667 scopus 로고    scopus 로고
    • Analysis of a stochastic SIR epidemic on a random network incorporating household structure
    • Ball, F., Sirl, D. and Trapman, P. 2010. Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Math. Biosci, 224(2): 53-73.
    • (2010) Math. Biosci , vol.224 , Issue.2 , pp. 53-73
    • Ball, F.1    Sirl, D.2    Trapman, P.3
  • 19
    • 36849121818 scopus 로고
    • The Radial Distribution Function in Liquids
    • Kirkwood, J.G. and Boggs, E.M. 1942. The Radial Distribution Function in Liquids. J. Chem. Phys, 10(6): 394-402.
    • (1942) J. Chem. Phys , vol.10 , Issue.6 , pp. 394-402
    • Kirkwood, J.G.1    Boggs, E.M.2
  • 20
    • 78650398534 scopus 로고    scopus 로고
    • Epidemic prediction and control in clustered populations
    • House, T. and Keeling, M.J. 2011. Epidemic prediction and control in clustered populations. J. Theor. Biol, 272(1): 1-7.
    • (2011) J. Theor. Biol , vol.272 , Issue.1 , pp. 1-7
    • House, T.1    Keeling, M.J.2
  • 21
    • 77949542098 scopus 로고    scopus 로고
    • The impact of contact tracing in clustered populations
    • House, T. and Keeling, M.J. 2010. The impact of contact tracing in clustered populations. PLoS Comput. Biol, 6(3): e1000721
    • (2010) PLoS Comput. Biol , vol.6 , Issue.3
    • House, T.1    Keeling, M.J.2
  • 22
    • 79958045826 scopus 로고    scopus 로고
    • Maximum-entropy moment-closure for stochastic systems on networks
    • Rogers, T. 2011. Maximum-entropy moment-closure for stochastic systems on networks. J. Stat. Mech.: Theory Exp, 2011(05): P05007
    • (2011) J. Stat. Mech.: Theory Exp , vol.2011 , Issue.5
    • Rogers, T.1
  • 23
    • 0035843902 scopus 로고    scopus 로고
    • The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions
    • Ferguson, N.M., Donnelly, C.A. and Anderson, R.M. 2001. The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions. Science, 292(5519): 1155-1160.
    • (2001) Science , vol.292 , Issue.5519 , pp. 1155-1160
    • Ferguson, N.M.1    Donnelly, C.A.2    Anderson, R.M.3
  • 24
    • 74049124545 scopus 로고    scopus 로고
    • Exploring biological network structure with clustered random networks
    • Bansal, S., Khandelwal, S. and Meyers, L.A. 2009. Exploring biological network structure with clustered random networks. BMC Bioinf, 10: 405
    • (2009) BMC Bioinf , vol.10 , pp. 405
    • Bansal, S.1    Khandelwal, S.2    Meyers, L.A.3
  • 26
    • 34948820617 scopus 로고    scopus 로고
    • When individual behaviour matters: homogeneous and network models in epidemiology
    • Bansal, S., Grenfell, B.T. and Meyers, L.A. 2007. When individual behaviour matters: homogeneous and network models in epidemiology. J. R. Soc. Interface, 4(16): 879-891.
    • (2007) J. R. Soc. Interface , vol.4 , Issue.16 , pp. 879-891
    • Bansal, S.1    Grenfell, B.T.2    Meyers, L.A.3
  • 28
    • 84862613809 scopus 로고    scopus 로고
    • Large graph limit for a SIR process in random network with heterogeneous connectivity
    • Available at
    • Decreusefond, L., Dhersin, J.-S., Moyal, P. and Tran, V.C. Large graph limit for a SIR process in random network with heterogeneous connectivity, preprint (2010), to appear in Ann. Appl. Probab. Available at http://arxiv.org/abs/1007.3958.
    • (2010) Ann. Appl. Probab.
    • Decreusefond, L.1    Dhersin, J.-S.2    Moyal, P.3    Tran, V.C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.