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Volumn 41, Issue 6, 2000, Pages 559-580

Stochastic epidemics in dynamic populations: Quasi-stationarity and extinction

Author keywords

Critical community size; Diffusion approximation; Persistence; Quasi stationary distribution; SIR epidemics; Stochastic fade out; Vaccination

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CHILD; COMMUNICABLE DISEASE; COMPUTER SIMULATION; EPIDEMIC; HUMAN; IMMUNOLOGY; MATHEMATICAL COMPUTING; POISSON DISTRIBUTION; POPULATION DYNAMICS; STATISTICS; VACCINATION;

EID: 0034572046     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850000060     Document Type: Article
Times cited : (75)

References (10)
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    • Anderson, D.A.1    Watson, R.K.2
  • 3
    • 0001892427 scopus 로고
    • Deterministic and stochastic models for recurrent epidemics
    • California Press, Berkely and Los Angeles
    • Bartlett, M.S.: Deterministic and stochastic models for recurrent epidemics. Proc. Third Berkeley Symp. Math. Statist. & Prob. Univ. California Press, Berkely and Los Angeles 4, 81-109 (1956)
    • (1956) Proc. Third Berkeley Symp. Math. Statist. & Prob. Univ. , vol.4 , pp. 81-109
    • Bartlett, M.S.1
  • 5
    • 0026699981 scopus 로고
    • Interpretation and estimation of vaccine efficacy under heterogeneity
    • Halloran, M.E., Haber, M., Longini, I.M.: Interpretation and estimation of vaccine efficacy under heterogeneity Amer. J. Epidemiol. 136, 328-343 (1992)
    • (1992) Amer. J. Epidemiol. , vol.136 , pp. 328-343
    • Halloran, M.E.1    Haber, M.2    Longini, I.M.3
  • 6
    • 0029175103 scopus 로고
    • Stochastic epidemics: Major outbreaks and the duration of the endemic period
    • van Herwaarden, O.A., Grasman, J.: Stochastic epidemics: major outbreaks and the duration of the endemic period. J. Math. Biol. 33, 581-601 (1995)
    • (1995) J. Math. Biol. , vol.33 , pp. 581-601
    • Herwaarden, O.A.1    Grasman, J.2
  • 8
    • 0031015249 scopus 로고    scopus 로고
    • Disease extinction and community size: Modelling the persistence of measles
    • Keeling, M.J., Grenfell, B.T.: Disease extinction and community size: modelling the persistence of measles. Science 275, 65-67 (1997)
    • (1997) Science , vol.275 , pp. 65-67
    • Keeling, M.J.1    Grenfell, B.T.2
  • 9
    • 0033475339 scopus 로고    scopus 로고
    • On the time to extinction in recurrent epidemics
    • Nåsell, I.: On the time to extinction in recurrent epidemics. J. Roy. Statist. Soc. B 61, 309-330 (1999)
    • (1999) J. Roy. Statist. Soc. B , vol.61 , pp. 309-330
    • Nåsell, I.1
  • 10
    • 0041092796 scopus 로고
    • A description of the long-term behaviour of absorbing continuous-time Markov chains using a centre manifold
    • Pollett, P.K., Roberts, A.J.: A description of the long-term behaviour of absorbing continuous-time Markov chains using a centre manifold. Adv. Appl. Prob. 22, 111-128 (1990)
    • (1990) Adv. Appl. Prob. , vol.22 , pp. 111-128
    • Pollett, P.K.1    Roberts, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.