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Volumn 8, Issue 1, 2000, Pages 1-20

A stochastic model for epidemics based on the renewal equation

Author keywords

Epidemics; Final size distribution; Renewal equation; Threshold theorem

Indexed keywords


EID: 0346929323     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021833900000002X     Document Type: Article
Times cited : (6)

References (13)
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  • 2
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  • 3
    • 0000814780 scopus 로고
    • The total size of a general stochastic epidemic
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    • Bailey, N.T.J.1
  • 5
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    • Final size distributions for epidemics
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    • Ludwig, D.1
  • 6
    • 0016612225 scopus 로고
    • Qualitative behavior of stochastic epidemics
    • D. Ludwig, Qualitative behavior of stochastic epidemics, Math. Biosci. 23 (1975) pp. 47-73.
    • (1975) Math. Biosci. , vol.23 , pp. 47-73
    • Ludwig, D.1
  • 7
    • 0346652814 scopus 로고    scopus 로고
    • Epidemics between Bailey and Reed-Frost: A stochastic version of the Kermack and McKendrick model
    • J. L. W. Gielen, Epidemics between Bailey and Reed-Frost: a stochastic version of the Kermack and McKendrick model, J. Biol. Syst. 5 (1997).
    • (1997) J. Biol. Syst. , vol.5
    • Gielen, J.L.W.1
  • 8
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Royal Soc. London Ser. A 115 (1927) pp. 700-721.
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    • Kermack, W.O.1    McKendrick, A.G.2
  • 9
    • 0003119317 scopus 로고    scopus 로고
    • Limiting behaviour in an epidemic model
    • Pergamon Press
    • O. Diekmann, Limiting behaviour in an epidemic model, Nonlinear Analysis, Theory, Methods and Applications, Vol. 1, No. 5 (Pergamon Press, 1997) pp. 459-470.
    • (1997) Nonlinear Analysis, Theory, Methods and Applications , vol.1 , Issue.5 , pp. 459-470
    • Diekmann, O.1
  • 10
    • 0018242499 scopus 로고
    • The epidemic in a closed population with all susceptibles equally vulnerable; some results for large populations and small initial infections
    • J. A. J. Metz, The epidemic in a closed population with all susceptibles equally vulnerable; some results for large populations and small initial infections, Acta Biotheoretica 27 (1978) pp. 75-123.
    • (1978) Acta Biotheoretica , vol.27 , pp. 75-123
    • Metz, J.A.J.1
  • 11
    • 0001242066 scopus 로고
    • An examination of the Reed-Frost theory of epidemics
    • H. Abbey, An examination of the Reed-Frost theory of epidemics, Human Biology 24 (1952) pp. 201-233.
    • (1952) Human Biology , vol.24 , pp. 201-233
    • Abbey, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.