메뉴 건너뛰기




Volumn 56, Issue 3, 2008, Pages 293-310

SIR dynamics in random networks with heterogeneous connectivity

Author keywords

Degree distribution; Epidemic disease; Networks; SIR

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; COMPUTER SIMULATION; EPIDEMIOLOGY; HUMAN; INCIDENCE; NONLINEAR SYSTEM; STATISTICS;

EID: 36749049140     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-007-0116-4     Document Type: Article
Times cited : (306)

References (34)
  • 2
    • 0001373770 scopus 로고    scopus 로고
    • Epidemic models and social networks
    • Andersson H. (1999). Epidemic models and social networks. Math. Sci. 24: 128-147
    • (1999) Math. Sci. , vol.24 , pp. 128-147
    • Andersson, H.1
  • 5
    • 18044384806 scopus 로고    scopus 로고
    • Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
    • Barthelemy M., Barrat A., Pastor-Satorras R., Vespignani A. (2005). Dynamical patterns of epidemic outbreaks in complex heterogeneous networks. J. Theor. Biol. 235: 275-288
    • (2005) J. Theor. Biol. , vol.235 , pp. 275-288
    • Barthelemy, M.1    Barrat, A.2    Pastor-Satorras, R.3    Vespignani, A.4
  • 6
    • 0037950616 scopus 로고    scopus 로고
    • A versatile ODE approximation to a network model for the spread of sexually transmitted diseases
    • 5
    • Bauch C.T. (2002). A versatile ODE approximation to a network model for the spread of sexually transmitted diseases. J. Math. Biol. 45(5): 375-395
    • (2002) J. Math. Biol. , vol.45 , pp. 375-395
    • Bauch, C.T.1
  • 8
    • 41349118476 scopus 로고    scopus 로고
    • Halting viruses in scale-free networks
    • Dezso, Z., Barabasi, A.L.: Halting viruses in scale-free networks. Phys. Rev. E 65, 055103(R) (2002)
    • (2002) Phys. Rev. E , vol.65
    • Dezso, Z.1    Barabasi, A.L.2
  • 10
    • 84929729015 scopus 로고    scopus 로고
    • Cambridge University Press New York
    • Durrett R. (2007). Random Graph Dynamics. Cambridge University Press, New York
    • (2007) Random Graph Dynamics
    • Durrett, R.1
  • 11
    • 0036790984 scopus 로고    scopus 로고
    • Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases
    • Eames T.D., Keeling M.J. (2002). Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases. PNAS 99: 13330-13335
    • (2002) PNAS , vol.99 , pp. 13330-13335
    • Eames, T.D.1    Keeling, M.J.2
  • 13
    • 0024817947 scopus 로고
    • Networks of sexual contacts: Implications for the pattern of spread of hiv
    • Gupta S., Anderson R.M., May R.M. (1989). Networks of sexual contacts: implications for the pattern of spread of hiv. AIDS 3: 807-817
    • (1989) AIDS , vol.3 , pp. 807-817
    • Gupta, S.1    Anderson, R.M.2    May, R.M.3
  • 16
    • 0036677591 scopus 로고    scopus 로고
    • Emergency response to a smallpox attach: The case for mass vaccination
    • Kaplan E.H., Craft D.L., Wein L.M. (2002). Emergency response to a smallpox attach: the case for mass vaccination. PNAS USA 99: 10935
    • (2002) PNAS USA , vol.99 , pp. 10935
    • Kaplan, E.H.1    Craft, D.L.2    Wein, L.M.3
  • 17
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • 1421
    • Keeling M.J. (1999). The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. B Biol. Sci. 266(1421): 859-859
    • (1999) Proc. R. Soc. B Biol. Sci. , vol.266 , pp. 859-859
    • Keeling, M.J.1
  • 22
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy M., Reed B. (1995). A critical point for random graphs with a given degree sequence. Random Struct. Algor. 6: 161
    • (1995) Random Struct. Algor. , vol.6 , pp. 161
    • Molloy, M.1    Reed, B.2
  • 23
    • 0032286776 scopus 로고    scopus 로고
    • The size of the giant component of a random graph with a given degree sequence
    • Molloy M., Reed B. (1998). The size of the giant component of a random graph with a given degree sequence. Comb. Probab. Comput. 7: 295-305
    • (1998) Comb. Probab. Comput. , vol.7 , pp. 295-305
    • Molloy, M.1    Reed, B.2
  • 24
    • 41349106348 scopus 로고    scopus 로고
    • The spread of epidemic disease on networks
    • Newman M.E.J. (2002). The spread of epidemic disease on networks. Phys. Rev. E 66: 016128
    • (2002) Phys. Rev. e , vol.66 , pp. 016128
    • Newman, M.E.J.1
  • 26
    • 0037133227 scopus 로고    scopus 로고
    • Random graph models of social networks
    • Newman M.E.J., Watts D.J., Strogatz S.H. (2002). Random graph models of social networks. PNAS USA 99: 2566-2572
    • (2002) PNAS USA , vol.99 , pp. 2566-2572
    • Newman, M.E.J.1    Watts, D.J.2    Strogatz, S.H.3
  • 27
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • Pastor-Satorras R., Vespignani A. (2001). Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86: 3200-3203
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 28
    • 0035363452 scopus 로고    scopus 로고
    • Epidemic dynamics and endemic states in complex networks
    • Pastor-Satorras R., Vespignani A. (2001). Epidemic dynamics and endemic states in complex networks. Phys. Rev. E 63: 066117
    • (2001) Phys. Rev. e , vol.63 , pp. 066117
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 30
    • 15244355759 scopus 로고    scopus 로고
    • Modelling development of epidemics with dynamic small-world networks
    • Saramki J., Kaski K. (2005). Modelling development of epidemics with dynamic small-world networks. J. Theor. Biol. 234: 413-421
    • (2005) J. Theor. Biol. , vol.234 , pp. 413-421
    • Saramki, J.1    Kaski, K.2
  • 31
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz S.H. (2001). Exploring complex networks. Nature 410: 268-276
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.H.1
  • 32
    • 22844448873 scopus 로고    scopus 로고
    • On the effect of population heterogeneity on dynamics of epidemic diseases
    • Veliov V.M. (2005). On the effect of population heterogeneity on dynamics of epidemic diseases. J. Math. Biol. 51: 123-143
    • (2005) J. Math. Biol. , vol.51 , pp. 123-143
    • Veliov, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.