Epidemiology of transmissible diseases after elimination.

Elimination of an infectious disease is often understood to mean the total absence of cases in a population. This situation can occur only if the entire population is immune as a result of either natural disease or vaccination. However, this costly and unrealistic scenario is not necessary to ensure elimination, more appropriately defined as a situation in which sustained transmission cannot occur and secondary spread from importations of disease will end naturally, without intervention. The authors describe the size and duration of outbreaks caused by imported infections after indigenous transmission has been eliminated. They show that the status of the elimination process can be monitored by assessing the proportion of cases imported and the distribution of outbreak sizes. Measles in Canada, the United States, and the United Kingdom provides a good example of the relevance of these criteria. Surveillance of the size and duration of these outbreaks enables maintenance of elimination to be monitored.

[1]  N. Gay,et al.  Interpretation of serological surveillance data for measles using mathematical models: implications for vaccine strategy , 1995, Epidemiology and Infection.

[2]  N. Gay,et al.  A model of long-term decline in the transmissibility of an infectious disease: implications for the incidence of hepatitis A. , 1996, International journal of epidemiology.

[3]  A. Hinman,et al.  Elimination of indigenous measles from the United States. , 1983, Reviews of infectious diseases.

[4]  A. Carter,et al.  Measles in Canada. , 1989, Canada diseases weekly report = Rapport hebdomadaire des maladies au Canada.

[5]  C. E. Hawkins,et al.  Patterns of transmission in measles outbreaks in the United States, 1985-1986. , 1989, The New England journal of medicine.

[6]  F. Haight,et al.  The Borel-Tanner distribution , 1960 .

[7]  P E Fine,et al.  Herd immunity: history, theory, practice. , 1993, Epidemiologic reviews.

[8]  C. P. Farrington,et al.  The distribution of time to extinction in subcritical branching processes: applications to outbreaks of infectious disease , 1999 .

[9]  C. Vitek,et al.  Trends in importation of measles to the United States, 1986-1994. , 1997, JAMA.

[10]  W. Dowdle The principles of disease elimination and eradication. , 1998, Bulletin of the World Health Organization.

[11]  J. P. Davis,et al.  Measles, mumps, and rubella--vaccine use and strategies for elimination of measles, rubella, and congenital rubella syndrome and control of mumps: recommendations of the Advisory Committee on Immunization Practices (ACIP). , 1998, MMWR. Recommendations and reports : Morbidity and mortality weekly report. Recommendations and reports.

[12]  N. Gay,et al.  The epidemiology of measles in England and Wales since the 1994 vaccination campaign. , 1997, Communicable disease report. CDR review.

[13]  Rubella prevention. Recommendations of the Immunization Practices Advisory Committee (ACIP). , 1990, MMWR. Recommendations and reports : Morbidity and mortality weekly report. Recommendations and reports.

[14]  L. Markowitz,et al.  Update--the United States measles epidemic, 1989-1990. , 1992, Epidemiologic reviews.

[15]  W. Bellini,et al.  Genetic analysis of measles viruses isolated in the United States, 1995-1996. , 1998, The Journal of infectious diseases.

[16]  N. Becker,et al.  On parametric estimation for mortal branching processes , 1974 .

[17]  V. ter meulen,et al.  Temporal and geographical distribution of measles virus genotypes. , 1995, The Journal of general virology.

[18]  R. May,et al.  Infectious Diseases of Humans: Dynamics and Control , 1991, Annals of Internal Medicine.