메뉴 건너뛰기




Volumn 9, Issue 2, 2014, Pages 58-81

Pairwise and edge-based models of epidemic dynamics on correlated weighted networks

Author keywords

Edge based compartmental modelling; Pairwise model; Probability generating function; Weighted network

Indexed keywords

COMPLEX NETWORKS; EPIDEMIOLOGY; HETEROGENEOUS NETWORKS;

EID: 84902199358     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20149204     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 79251639521 scopus 로고    scopus 로고
    • Correlation equations and pair approximations for spatial ecologies
    • D.A. Rand. Correlation equations and pair approximations for spatial ecologies. CWI Quarterly., 12 (1999), 329-368.
    • (1999) CWI Quarterly. , vol.12 , pp. 329-368
    • Rand, D.A.1
  • 2
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • D.T. Gillespie. Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem., 81 (1977), 2340-2361.
    • (1977) J. Phys. Chem. , vol.81 , pp. 2340-2361
    • Gillespie, D.T.1
  • 3
    • 39649125153 scopus 로고    scopus 로고
    • Network epidemic models with two levels of mixing
    • F. Ball, P. Neal. Network epidemic models with two levels of mixing. Math. Biosci., 212 (2008), 69-87.
    • (2008) Math. Biosci. , vol.212 , pp. 69-87
    • Ball, F.1    Neal, P.2
  • 5
    • 69249147221 scopus 로고    scopus 로고
    • Spread of infectious disease through clustered populations
    • J.C. Miller. Spread of infectious disease through clustered populations. J. Roy. Soc. Interface., 6 (2009), 1121-1134.
    • (2009) J. Roy. Soc. Interface. , vol.6 , pp. 1121-1134
    • Miller, J.C.1
  • 6
    • 84859089658 scopus 로고    scopus 로고
    • Edge-based compartmental modelling for infectious disease spread
    • J.C. Miller, A.C. Slim, E.M. Volz. Edge-based compartmental modelling for infectious disease spread. J. Roy. Soc. Interface., 9 (2012), 890-906.
    • (2012) J. Roy. Soc. Interface. , vol.9 , pp. 890-906
    • Miller, J.C.1    Slim, A.C.2    Volz, E.M.3
  • 8
    • 33751230072 scopus 로고    scopus 로고
    • Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation
    • J. Joo, J.L. Lebowitz. Behavior of susceptible-infected-susceptible epidemics on heterogeneous networks with saturation. Phys. Rev. E., 69 (2004), 066105.
    • (2004) Phys. Rev. E. , vol.69 , pp. 066105
    • Joo, J.1    Lebowitz, J.L.2
  • 12
    • 37849013474 scopus 로고    scopus 로고
    • Modelling disease spread through random and regular contacts in clustered populations
    • K.T.D. Eames. Modelling disease spread through random and regular contacts in clustered populations. Theor. Popul. Biol., 73 (2008), 104-111.
    • (2008) Theor. Popul. Biol. , vol.73 , pp. 104-111
    • Eames, K.T.D.1
  • 13
    • 63349085482 scopus 로고    scopus 로고
    • Epidemic prediction and control in weighted networks
    • K.T.D. Eames, J.M. Read, W.J. Edmunds, Epidemic prediction and control in weighted networks. Epidemics., 1 (2009), 70-76.
    • (2009) Epidemics. , vol.1 , pp. 70-76
    • Eames, K.T.D.1    Read, J.M.2    Edmunds, W.J.3
  • 14
    • 0036790984 scopus 로고    scopus 로고
    • Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases
    • K.T.D. Eames, M.J. Keeling. Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases. Proc. Natl. Acad. Sci. USA., 99 (2002), 13330-13335.
    • (2002) Proc. Natl. Acad. Sci. USA. , vol.99 , pp. 13330-13335
    • Eames, K.T.D.1    Keeling, M.J.2
  • 15
    • 79957633039 scopus 로고    scopus 로고
    • Epidemics and vaccination on weighted graphs
    • M. Deijfen. Epidemics and vaccination on weighted graphs. Math. Biosci., 232 (2011), 57-65.
    • (2011) Math. Biosci. , vol.232 , pp. 57-65
    • Deijfen, M.1
  • 16
    • 41349106348 scopus 로고    scopus 로고
    • Spread of epidemic disease on networks
    • M.E.J. Newman. Spread of epidemic disease on networks. Phys. Rev. E., 66 (2002), 016128.
    • (2002) Phys. Rev. E. , vol.66 , pp. 016128
    • Newman, M.E.J.1
  • 17
    • 19544394086 scopus 로고    scopus 로고
    • Cattle movements and bovine tuberculosis in Great Britain
    • DOI 10.1038/nature03548
    • M. Gilbert, A. Mitchell, D. Bourn, J. Mawdsley, R. Clifton-Hadley, W. Wint. Cattle movements and bovine tuberculosis in Great Britain. Nature., 435 (2005), 491-496. (Pubitemid 40734245)
    • (2005) Nature , vol.435 , Issue.7041 , pp. 491-496
    • Gilbert, M.1    Mitchell, A.2    Bourn, D.3    Mawdsley, J.4    Clifton-Hadley, R.5    Wint, W.6
  • 18
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • DOI 10.1098/rspb.1999.0716
    • M.J. Keeling. The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. Lond. B., 266 (1999), 859-867. (Pubitemid 29204217)
    • (1999) Proceedings of the Royal Society B: Biological Sciences , vol.266 , Issue.1421 , pp. 859-867
    • Keeling, M.J.1
  • 19
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • M. Molloy, B. Reed. A critical point for random graphs with a given degree sequence. Random Struct Alg., 6 (1995), 161-180.
    • (1995) Random Struct Alg. , vol.6 , pp. 161-180
    • Molloy, M.1    Reed, B.2
  • 20
    • 84902165280 scopus 로고    scopus 로고
    • A class of pairwise models for epidemic dynamics on weighted networks
    • Accepted for publication
    • P. Rattana, K.B. Blyuss, K.T.D. Eames, I.Z. Kiss. A class of pairwise models for epidemic dynamics on weighted networks. Accepted for publication. in Bull. Math. Biol., (2012).
    • (2012) Bull. Math. Biol.
    • Rattana, P.1    Blyuss, K.B.2    Eames, K.T.D.3    Kiss, I.Z.4
  • 21
    • 37649032448 scopus 로고    scopus 로고
    • Unexpected epidemic thresholds in heterogeneous networks: The role of disease transmission
    • R. Olinky, L. Stone. Unexpected epidemic thresholds in heterogeneous networks: The role of disease transmission. Phys. Rev. E., 70 (2004), 030902R.
    • (2004) Phys. Rev. E. , vol.70
    • Olinky, R.1    Stone, L.2
  • 22
    • 82255192470 scopus 로고    scopus 로고
    • A weighted configuration model and inhomogeneous epidemics
    • T. Britton, M. Deijfen, F. Liljeros. A weighted configuration model and inhomogeneous epidemics. J. Stat. Phys., 145 (2011), 1368-1384.
    • (2011) J. Stat. Phys. , vol.145 , pp. 1368-1384
    • Britton, T.1    Deijfen, M.2    Liljeros, F.3
  • 23
    • 78650846890 scopus 로고    scopus 로고
    • Insights from unifying modern approximations to infections on networks
    • T. House, M.J. Keeling. Insights from unifying modern approximations to infections on networks. J. Roy. Soc. Interface., 8 (2011), 67-73.
    • (2011) J. Roy. Soc. Interface. , vol.8 , pp. 67-73
    • House, T.1    Keeling, M.J.2
  • 25
    • 84902210339 scopus 로고    scopus 로고
    • Epidemic Spread in Networks: Existing Methods and Current Challenges
    • J. C. Miller, I. Z. Kiss. Epidemic Spread in Networks: Existing Methods and Current Challenges, Math. Model. Nat. Phenom. Vol. 9, No. 2, (2014), 4-42.
    • (2014) Math. Model. Nat. Phenom , vol.9 , Issue.2 , pp. 4-42
    • Miller, J.C.1    Kiss, I.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.