메뉴 건너뛰기




Volumn 20, Issue 2, 2012, Pages

Distribution dynamics for SIS model on random networks

Author keywords

Degree Distribution; Epidemic Disease; Generating Function; Network; SIS

Indexed keywords


EID: 84863102920     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218339012500076     Document Type: Article
Times cited : (6)

References (31)
  • 3
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Kermack WO, McKendrick AG, A contribution to the mathematical theory of epidemics, R Soc Lond Proc Ser A 115:700-721, 1927.
    • (1927) R Soc Lond Proc Ser A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 4
    • 0001373770 scopus 로고    scopus 로고
    • Epidemic models and social networks
    • Andersson H, Epidemic models and social networks, Math Sci 24:128-147, 1999.
    • (1999) Math Sci , vol.24 , pp. 128-147
    • Andersson, H.1
  • 5
    • 84862623915 scopus 로고    scopus 로고
    • Modelling epidemics on networks
    • Available at
    • House T, Modelling epidemics on networks, Contemp Phys Available at http:// dx.doi.org/10.1080/00107514.2011.644443.
    • Contemp Phys
    • House, T.1
  • 6
    • 19344377125 scopus 로고    scopus 로고
    • Dynamics of inhomogeneous populations and global demography models
    • DOI 10.1142/S0218339005001410
    • Karev GP, Dynamics of inhomogeneous populations and global demography models, J Biol Syst 13:83-104, 2005. (Pubitemid 40717627)
    • (2005) Journal of Biological Systems , vol.13 , Issue.1 , pp. 83-104
    • Karev, G.P.1
  • 8
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman MEJ, The structure and function of complex networks, SIAM Rev 45: 167-256, 2003.
    • (2003) SIAM Rev , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 9
    • 78650301212 scopus 로고    scopus 로고
    • Likelihood estimation for stochastic epidemics with heterogeneous mixing populations
    • Shang Y, Likelihood estimation for stochastic epidemics with heterogeneous mixing populations, Int J Comput Math Sci 6:34-38, 2012.
    • (2012) Int J Comput Math Sci , vol.6 , pp. 34-38
    • Shang, Y.1
  • 10
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • DOI 10.1038/35065725
    • Strogatz SH, Exploring complex networks, Nature 410:268-276, 2001. (Pubitemid 32216604)
    • (2001) Nature , vol.410 , Issue.6825 , pp. 268-276
    • Strogatz, S.H.1
  • 11
    • 65349134144 scopus 로고    scopus 로고
    • Heterogeneous bond percolation on multitype networks with an application to epidemic dynamics
    • Allard A, Noël PA, Dubé LJ, Pourbohloul B, Heterogeneous bond percolation on multitype networks with an application to epidemic dynamics, Phys Rev E 79:036113, 2009.
    • (2009) Phys Rev E , vol.79 , pp. 036113
    • Allard, A.1    Noël, P.A.2    Dubé, L.J.3    Pourbohloul, B.4
  • 12
    • 41349106348 scopus 로고    scopus 로고
    • Spread of epidemic disease on networks
    • Newman MEJ, Spread of epidemic disease on networks, Phys Rev E 66:016128, 2002.
    • (2002) Phys Rev E , vol.66 , pp. 016128
    • Newman, M.E.J.1
  • 13
    • 60949109906 scopus 로고    scopus 로고
    • Time evolution of disease spread on finite-size networks with degree heterogeneity
    • Noël PA, Davoudi B, Dubé LJ, Brunham RC, Pourbohloul B, Time evolution of disease spread on finite-size networks with degree heterogeneity, Phys Rev E 79:026101, 2009.
    • (2009) Phys Rev E , vol.79 , pp. 026101
    • Noël, P.A.1    Davoudi, B.2    Dubé, L.J.3    Brunham, R.C.4    Pourbohloul, B.5
  • 15
    • 84859089658 scopus 로고    scopus 로고
    • Edge-based compartmental modelling for infectious disease spread
    • doi: 10.1098/rsif.2011.0403
    • Miller JC, Slim AC, Volz EM, Edge-based compartmental modelling for infectious disease spread, J R Soc Interface, doi: 10.1098/rsif.2011.0403.
    • J R Soc Interface
    • Miller, J.C.1    Slim, A.C.2    Volz, E.M.3
  • 16
    • 0029175104 scopus 로고
    • Susceptible-infected-removed epidemic models with dynamic partnerships
    • Altmann M, Susceptible-infected-removed epidemic models with dynamic partnerships, J Math Biol 33:661-675, 1995.
    • (1995) J Math Biol , vol.33 , pp. 661-675
    • Altmann, M.1
  • 17
    • 0037950616 scopus 로고    scopus 로고
    • A versatile ODE approximation to a network model for the spread of sexually transmitted diseases
    • DOI 10.1007/s002850200153
    • Bauch CT, A versatile ODE approximation to a network model for the spread of sexually transmitted diseases, J Math Biol 45:375-395, 2002. (Pubitemid 44200147)
    • (2002) Journal of Mathematical Biology , vol.45 , Issue.5 , pp. 375-395
    • Bauch, C.T.1
  • 18
    • 0036790984 scopus 로고    scopus 로고
    • Modeling dynamic and network heterogeneities in the spread of sexually transmitted disease
    • Eames KTD, Keeling MJ, Modeling dynamic and network heterogeneities in the spread of sexually transmitted disease, Proc Natl Acad Sci USA 99:13330-13335, 2002.
    • (2002) Proc Natl Acad Sci USA , vol.99 , pp. 13330-13335
    • Eames, K.T.D.1    Keeling, M.J.2
  • 19
    • 18044384806 scopus 로고    scopus 로고
    • Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
    • DOI 10.1016/j.jtbi.2005.01.011
    • Barthélémy M, Barrat A, Pastor-Satorras R, Vespignani A, Dynamical patterns of epidemic outbreaks in complex heterogeneous networks, J Theor Biol 235:275-288, 2005. (Pubitemid 40603479)
    • (2005) Journal of Theoretical Biology , vol.235 , Issue.2 , pp. 275-288
    • Barthelemy, M.1    Barrat, A.2    Pastor-Satorras, R.3    Vespignani, A.4
  • 20
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • DOI 10.1103/PhysRevLett.86.3200
    • Pastor-Satorras R, Vespignani A, Epidemic spreading in scale-free networks, Phys Rev Lett 86:3200-3203, 2001. (Pubitemid 32317894)
    • (2001) Physical Review Letters , vol.86 , Issue.14 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 21
    • 33744812418 scopus 로고    scopus 로고
    • Sexual bridging socially and over time: A simulation model exploring the relative effects of mixing and concurrency on viral sexually transmitted infection transmission
    • DOI 10.1097/01.olq.0000194586.66409.7a, PII 0000743520060600000007
    • Doherty IA, Shiboski S, Ellen JM, Adimora AA, Padian NS, Sexual bridging socially and over time: A simulation model exploring the relative effects of mixing and concurrency on viral sexually transmitted infection transmission, Sex Transm Dis 33: 368-373, 2006. (Pubitemid 43833024)
    • (2006) Sexually Transmitted Diseases , vol.33 , Issue.6 , pp. 368-373
    • Doherty, I.A.1    Shiboski, S.2    Ellen, J.M.3    Adimora, A.A.4    Padian, N.S.5
  • 23
    • 36749049140 scopus 로고    scopus 로고
    • SIR dynamics in random networks with heterogeneous connectivity
    • DOI 10.1007/s00285-007-0116-4
    • Volz E, SIR dynamics in random networks with heterogeneous connectivity, J Math Biol 56:293-310, 2008. (Pubitemid 350212021)
    • (2008) Journal of Mathematical Biology , vol.56 , Issue.3 , pp. 293-310
    • Volz, E.1
  • 24
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy M, Reed B, A critical point for random graphs with a given degree sequence, Random Struct Algor 6:161-179, 1995.
    • (1995) Random Struct Algor , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2
  • 26
    • 64249139214 scopus 로고    scopus 로고
    • The probability that a random multigraph is simple
    • Janson S, The probability that a random multigraph is simple, Comb Probab Comput 18:205-225, 2009.
    • (2009) Comb Probab Comput , vol.18 , pp. 205-225
    • Janson, S.1
  • 27
    • 84855746597 scopus 로고    scopus 로고
    • Joint probability generating function for degrees of active/passive random intersection graphs
    • Shang Y, Joint probability generating function for degrees of active/passive random intersection graphs, Front Math China 7:117-124, 2012.
    • (2012) Front Math China , vol.7 , pp. 117-124
    • Shang, Y.1
  • 29
    • 35248813431 scopus 로고    scopus 로고
    • Component sizes in networks with arbitrary degree distributions
    • Newman MEJ, Component sizes in networks with arbitrary degree distributions, Phys Rev E 76:045101(R), 2007.
    • (2007) Phys Rev E , vol.76
    • Newman, M.E.J.1
  • 30
    • 33646548539 scopus 로고    scopus 로고
    • An epidemic model structured by host immunity
    • DOI 10.1142/S0218339006001787, PII S0218339006001787
    • Martcheva M, Pilyugin SS, An epidemic model structured by host immunity, J Biol Syst 14:185-203, 2006. (Pubitemid 43725848)
    • (2006) Journal of Biological Systems , vol.14 , Issue.2 , pp. 185-203
    • Martcheva, M.1    Pilyugin, S.S.2
  • 31
    • 84880947651 scopus 로고    scopus 로고
    • Optimal control strategies for virus spreading in inhomogeneous epidemic dynamics
    • available at
    • Shang Y, Optimal control strategies for virus spreading in inhomogeneous epidemic dynamics, Canad Math Bull available at http://dx.doi.org/10.4153/CMB- 2012-007-2.
    • Canad Math Bull
    • Shang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.