메뉴 건너뛰기




Volumn 2012, Issue 8, 2012, Pages

On the efficiency of the equation-free closure of statistical moments: Dynamical properties of a stochastic epidemic model on Erdos-Rényi networks

Author keywords

epidemic modelling; networks; nonlinear dynamics; random graphs; stochastic processes

Indexed keywords


EID: 84866339130     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/08/P08020     Document Type: Article
Times cited : (7)

References (39)
  • 3
    • 33750288041 scopus 로고    scopus 로고
    • 10.1111/j.1553-2712.2006.tb01638.x 1069-6563
    • Burke D et al 2006 Acad. Emerg. Med. 13 1142
    • (2006) Acad. Emerg. Med. , vol.13 , Issue.11 , pp. 1142
    • Burke, D.1
  • 8
  • 11
    • 79952575000 scopus 로고    scopus 로고
    • 10.1007/s00285-010-0344-x 0303-6812
    • Simon P L et al 2001 J. Math. Biol. 62 479
    • (2001) J. Math. Biol. , vol.62 , Issue.4 , pp. 479
    • Simon, P.L.1
  • 13
    • 84859631507 scopus 로고    scopus 로고
    • 10.1007/s00285-011-0443-3 0303-6812
    • Taylor M et al 2012 J. Math. Biol. 64 1021
    • (2012) J. Math. Biol. , vol.64 , Issue.6 , pp. 1021
    • Taylor, M.1
  • 16
    • 28244474054 scopus 로고    scopus 로고
    • 10.1016/j.mbs.2005.06.005 0025-5564
    • Bauch C T 2004 Math. Biosci. 198 217
    • (2004) Math. Biosci. , vol.198 , Issue.2 , pp. 217
    • Bauch, C.T.1
  • 17
    • 0034895527 scopus 로고    scopus 로고
    • Comparing approximations to spatio-temporal models for epidemics with local spread
    • DOI 10.1006/bulm.2001.0234
    • Filipe J A N and Gibson G J 2001 Bull. Math. Biol. 63 603 (Pubitemid 32721005)
    • (2001) Bulletin of Mathematical Biology , vol.63 , Issue.4 , pp. 603-624
    • Filipe, J.A.N.1    Gibson, G.J.2
  • 18
    • 33746800110 scopus 로고    scopus 로고
    • Moment equations and dynamics of a household SIS epidemiological model
    • DOI 10.1007/s11538-006-9080-1
    • Hiebeler D 2006 Bull. Math. Biol. 66 1315 (Pubitemid 44174946)
    • (2006) Bulletin of Mathematical Biology , vol.68 , Issue.6 , pp. 1315-1333
    • Hiebeler, D.1
  • 19
    • 1242310813 scopus 로고    scopus 로고
    • The effects of disease dispersal and host clustering on the epidemic threshold in plants
    • DOI 10.1016/j.bulm.2003.08.006
    • Brown D H and Bolker B M 2004 Bull. Math. Biol. 66 341 (Pubitemid 38215332)
    • (2004) Bulletin of Mathematical Biology , vol.66 , Issue.2 , pp. 341-371
    • Brown, D.H.1    Bolker, B.M.2
  • 24
    • 0038608279 scopus 로고    scopus 로고
    • 10.1063/1.1572456 0021-9606
    • Siettos C I et al 2003 J. Chem. Phys. 118 10149
    • (2003) J. Chem. Phys. , vol.118 , Issue.22 , pp. 10149
    • Siettos, C.I.1
  • 26
    • 3042720018 scopus 로고    scopus 로고
    • Equation-free: The computer-aided analysis of complex multiscale systems
    • DOI 10.1002/aic.10106
    • Kevrekidis I G et al 2004 AICHE J. 50 1346 (Pubitemid 38856761)
    • (2004) AIChE Journal , vol.50 , Issue.7 , pp. 1346-1355
    • Kevrekidis, I.G.1    Gear, C.W.2    Hummer, G.3
  • 27
    • 17144394892 scopus 로고    scopus 로고
    • 10.1098/rspa.2004.1300 1364-5021 A
    • Cisternas J et al 2006 Proc. R. Soc. Lond. A 460 2761
    • (2006) Proc. R. Soc. Lond. , vol.460 , Issue.2050 , pp. 2761
    • Cisternas, J.1
  • 28
    • 33747887361 scopus 로고    scopus 로고
    • A systems-based approach to multiscale computation: Equation-free detection of coarse-grained bifurcations
    • DOI 10.1016/j.compchemeng.2006.05.019, PII S0098135406001360, Papers from Chemical Process Control VII CPC VII
    • Siettos C I 2006 Comput. Chem. Eng. 30 1632 (Pubitemid 44292259)
    • (2006) Computers and Chemical Engineering , vol.30 , Issue.10-12 , pp. 1632-1642
    • Siettos, C.I.1    Rico-Martinez, R.2    Kevrekidis, I.G.3
  • 30
    • 0035304323 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.63.041102 1063-651X E 041102
    • Abad E et al 2001 Phys. Rev. E 63 041102
    • (2001) Phys. Rev. , vol.63 , Issue.4
    • Abad, E.1
  • 34
    • 42749105905 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.70.036114 1539-3755 E 036114
    • Joo J and Lebovitz J L 2004 Phys. Rev. E 70 036114
    • (2004) Phys. Rev. , vol.70 , Issue.3
    • Joo, J.1    Lebovitz, J.L.2
  • 36
    • 25944452011 scopus 로고
    • 10.1016/0039-6028(81)90430-1 0039-6028
    • Surda A and Karasova I 1991 Surf. Sci. 109 605
    • (1991) Surf. Sci. , vol.109 , Issue.3 , pp. 605
    • Surda, A.1    Karasova, I.2
  • 37
    • 34250627892 scopus 로고
    • 10.1016/0022-0396(79)90152-9 0022-0396
    • Fenichel N 1979 J. Differ. Equat. 31 53
    • (1979) J. Differ. Equat. , vol.31 , Issue.1 , pp. 53
    • Fenichel, N.1
  • 39


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.