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Volumn 181, Issue 1, 2003, Pages 85-106

The critical vaccination fraction for heterogeneous epidemic models

Author keywords

Next generation matrix; Perron Frobenius; Regular manifold; Reproduction number; Separable mixing; Vaccine efficacy

Indexed keywords

INFLUENZA VACCINE;

EID: 0037211118     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(02)00129-3     Document Type: Article
Times cited : (92)

References (30)
  • 1
    • 0032822635 scopus 로고    scopus 로고
    • Design and interpretation of vaccine field studies
    • A.S. Monto, S.B. Thacker (Eds.)
    • M.E. Halloran, I.M. Longini Jr., C.J. Struchiner, Design and interpretation of vaccine field studies, in: A.S. Monto, S.B. Thacker (Eds.), Epidemiologic Reviews: Vaccines, vol. 21, 1999, p. 73.
    • (1999) Epidemiologic Reviews: Vaccines , vol.21 , pp. 73
    • Halloran, M.E.1    Longini I.M., Jr.2    Struchiner, C.J.3
  • 2
    • 0011770562 scopus 로고    scopus 로고
    • Discussion of estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data
    • K. Dietz, Discussion of estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data, Appl. Statist. 50 (2001) 283.
    • (2001) Appl. Statist. , vol.50 , pp. 283
    • Dietz, K.1
  • 5
    • 0027271815 scopus 로고
    • Measles immunization strategies for an epidemiologically heterogeneous population: The Israeli case study
    • Z. Agur, Y.L. Danon, R.M. Anderson, L. Cojocaru, R.M. May, Measles immunization strategies for an epidemiologically heterogeneous population: The Israeli case study, Proc. Roy. Soc. Lond. B 252 (1993) 81.
    • (1993) Proc. Roy. Soc. Lond. B , vol.252 , pp. 81
    • Agur, Z.1    Danon, Y.L.2    Anderson, R.M.3    Cojocaru, L.4    May, R.M.5
  • 6
    • 0023177943 scopus 로고
    • Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
    • H.W. Hethcote, J.W. van Ark, Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs, Math. Biosci. 84 (1987) 85.
    • (1987) Math. Biosci. , vol.84 , pp. 85
    • Hethcote, H.W.1    Van Ark, J.W.2
  • 7
    • 77957182533 scopus 로고
    • Epidemics in heterogeneous populations: Aspects of optimal vaccination policies
    • A.J.G. Cairns, Epidemics in heterogeneous populations: Aspects of optimal vaccination policies, IMA J. Math. Appl. Med. Biol. 6 (1989) 137.
    • (1989) IMA J. Math. Appl. Med. Biol. , vol.6 , pp. 137
    • Cairns, A.J.G.1
  • 8
    • 0031568282 scopus 로고    scopus 로고
    • Optimal vaccination strategies for a community of households
    • N.G. Becker, D.N. Starczak, Optimal vaccination strategies for a community of households, Math. Biosci. 139 (1997) 117.
    • (1997) Math. Biosci. , vol.139 , pp. 117
    • Becker, N.G.1    Starczak, D.N.2
  • 9
    • 0035540917 scopus 로고    scopus 로고
    • 0 and secure vaccination coverage
    • 0 and secure vaccination coverage, J. Roy. Statist. Soc. B 63 (2001) 705.
    • (2001) J. Roy. Statist. Soc. B , vol.63 , pp. 705
    • Britton, T.1
  • 10
    • 2642688638 scopus 로고    scopus 로고
    • Optimal vaccine trial design when estimating vaccine efficacy for susceptibility and infectiousness from multiple populations
    • I.M. Longini Jr., K. Sagetalian, W.N. Rida, M.E. Halloran, Optimal vaccine trial design when estimating vaccine efficacy for susceptibility and infectiousness from multiple populations, Statist. Med. 17 (1998) 1121.
    • (1998) Statist. Med. , vol.17 , pp. 1121
    • Longini I.M., Jr.1    Sagetalian, K.2    Rida, W.N.3    Halloran, M.E.4
  • 15
    • 0028278160 scopus 로고
    • Epidemiologic effects of vaccines with complex direct effects in an age-structured population
    • M.E. Halloran, L. Watelet, C.J. Struchiner, Epidemiologic effects of vaccines with complex direct effects in an age-structured population, Math. Biosci. 121 (1994) 193.
    • (1994) Math. Biosci. , vol.121 , pp. 193
    • Halloran, M.E.1    Watelet, L.2    Struchiner, C.J.3
  • 18
    • 0028046641 scopus 로고
    • Some bounds on estimates for reproductive ratios derived from the age-specific force of infection
    • D. Greenhalgh, K. Dietz, Some bounds on estimates for reproductive ratios derived from the age-specific force of infection, Math. Biosci. 124 (1994) 9.
    • (1994) Math. Biosci. , vol.124 , pp. 9
    • Greenhalgh, D.1    Dietz, K.2
  • 20
    • 0017807902 scopus 로고
    • MacDonald's model and the transmission of bilharzia
    • A.D. Barbour, MacDonald's model and the transmission of bilharzia, Trans. Roy. Soc. Trop. Med. Hyg. 72 (1978) 6.
    • (1978) Trans. Roy. Soc. Trop. Med. Hyg. , vol.72 , pp. 6
    • Barbour, A.D.1
  • 21
    • 0017228276 scopus 로고
    • Qualitative analyses of communicable disease models
    • H.W. Hethcote, Qualitative analyses of communicable disease models, Math. Biosci. 28 (1976) 335.
    • (1976) Math. Biosci. , vol.28 , pp. 335
    • Hethcote, H.W.1
  • 22
    • 0032146737 scopus 로고    scopus 로고
    • Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
    • C. Castillo-Chavez, Z. Feng, Global stability of an age-structure model for TB and its applications to optimal vaccination strategies, Math. Biosci. 151 (1998) 135.
    • (1998) Math. Biosci. , vol.151 , pp. 135
    • Castillo-Chavez, C.1    Feng, Z.2
  • 23
    • 0001620170 scopus 로고
    • Vaccination in age structured populations II: Optimal strategies
    • V. Isham, G. Medley (Eds.), Cambridge University, Cambridge
    • K.P. Hadeler, J. Müller, Vaccination in age structured populations II: Optimal strategies, in: V. Isham, G. Medley (Eds.), Models for Infectious Human Diseases: Their Structure and Relation to Data, Cambridge University, Cambridge, 1993, p. 102.
    • (1993) Models for Infectious Human Diseases: Their Structure and Relation to Data , pp. 102
    • Hadeler, K.P.1    Müller, J.2
  • 24
    • 0032153822 scopus 로고    scopus 로고
    • Optimal vaccination patterns in age-structured populations
    • J. Müller, Optimal vaccination patterns in age-structured populations, SIAM J. Appl. Math. 59 (1999) 222.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 222
    • Müller, J.1
  • 25
    • 0025160594 scopus 로고
    • Vaccination campaigns for common childhood diseases
    • D. Greenhalgh, Vaccination campaigns for common childhood diseases, Math. Biosci. 100 (1990) 201.
    • (1990) Math. Biosci. , vol.100 , pp. 201
    • Greenhalgh, D.1
  • 26
    • 0040158194 scopus 로고    scopus 로고
    • A frailty mixture model for estimating vaccine efficacy
    • I.M. Longini, M.E. Halloran, A frailty mixture model for estimating vaccine efficacy, Appl. Statist. 45 (1996) 165.
    • (1996) Appl. Statist. , vol.45 , pp. 165
    • Longini, I.M.1    Halloran, M.E.2
  • 27
    • 0035649220 scopus 로고    scopus 로고
    • Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data-with discussion
    • C.P. Farrington, M.N. Kanaan, N.J. Gay, Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data-with discussion, Appl. Statist. 50 (2001) 251.
    • (2001) Appl. Statist. , vol.50 , pp. 251
    • Farrington, C.P.1    Kanaan, M.N.2    Gay, N.J.3
  • 28
    • 0343502994 scopus 로고    scopus 로고
    • Estimation of the efficacy of live, attenuated influenza vaccine from a two-year, multi-center vaccine trial: Implications for influenza epidemic control
    • I.M. Longini, M.E. Halloran, A. Nizam, M. Wolff, P.M. Mendelman, P. Fast, R.B. Belshe, Estimation of the efficacy of live, attenuated influenza vaccine from a two-year, multi-center vaccine trial: Implications for influenza epidemic control, Vaccine 18 (2000) 1902.
    • (2000) Vaccine , vol.18 , pp. 1902
    • Longini, I.M.1    Halloran, M.E.2    Nizam, A.3    Wolff, M.4    Mendelman, P.M.5    Fast, P.6    Belshe, R.B.7
  • 29
    • 0014649210 scopus 로고
    • Effect of vaccination of a school-age population upon the course of an A2 Hong Kong influenza epidemic
    • A.S. Monto, J.A. Davenport, J.A. Napier, T.F. Francis, Effect of vaccination of a school-age population upon the course of an A2 Hong Kong influenza epidemic, Bull. World Health Org. 41 (1969) 537.
    • (1969) Bull. World Health Org. , vol.41 , pp. 537
    • Monto, A.S.1    Davenport, J.A.2    Napier, J.A.3    Francis, T.F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.