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    Lecture 11 - Herd Immunity

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    Ro - the average number of new infections from 1infected individual in a population of

    fully susceptible hosts.

    Ro> 1

    Time

    R - effective growth rate

    of the disease.

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    Ro - the average number of new infections from 1infected individual in a population of

    fully susceptible hosts.

    Ro> 1

    Time

    R - effective growth rate

    of the disease.

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    R = Ro S/N

    If a sufficiently high proportion of the population is immune,

    then R will be below 1 and the disease cannot circulate.

    ie for control R

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    Herd Immunity

    A type of community protection from disease that occurswhen the vaccination of a portion of the population (or

    herd) provides protection to unvaccinated individuals by

    making it less likely that any infected individual will

    contact a susceptible individual and thus pass on the

    disease

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    R = Ro S/N

    If a sufficiently high proportion of the population is immune,

    then R will be below 1 and the disease cannot circulate.

    ie for control R

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    Ro> 1

    P > 1( 1/ Ro)

    Criteria for eradication by vaccination

    Where P is the proportion that must be

    vaccinated to eliminate the disease.

    Ro (1P) < 1

    Time

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    20

    10

    15

    5

    0

    Ro

    Measles

    Chicken

    Pox

    Polio

    Smallpox

    InfluenzaEbola

    90-95%

    85-90%

    85%

    80%50%

    33%

    Data from Anderson & May 1992

    P > 1( 1/ Ro)

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    93

    80

    88

    90

    95

    83

    79

    78

    8477

    Smallpox vaccination rates in West AfricaOctober 1974 to September 1975

    Data from Arita et al. 1986

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    Country Period Reason Consequence

    Holland 1999 Religious 2961 cases and 3 deaths

    Ireland 2000 Health risk 300 cases and 3 deaths

    Nigeria 2001 Religious/

    political

    20,000 cases and 600 deaths in 3

    months of 2005

    USA 2005 Health risk 34 cases (largest outbreak since

    1996)

    France

    etc

    2011 Religious &

    Health risk

    26,000 cases and 11 deaths

    Examples of declines in measles vaccination rates

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    The Headlines

    Do Measles VaccinesPut Children At Risk

    For Autism?

    Measles vaccinelinked to autism?

    The Study

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    Gupta, R. K et al. BMJ 2005;330:1132-1135

    Fig 2 Mumps notifications and confirmed cases, 1995-2004 by quarter

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    If God had decreed from all eternity that a certain

    person should die of smallpox, it would be a frightful

    sin to avoid and annul that decree by the trick ofvaccination.

    Timothy Dwight IV, Minister and President of Yale

    University

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    Name Established

    Anti-vaccination Society 1798

    Anti-Compulsory Vaccination League 1866

    The Anti-Vaccination Society of America 1879

    New England Anti-Compulsory Vaccination League 1882Anti-Vaccination League of New York City 1885

    London Society for the Abolition of Compulsory Vaccination 1880

    The National Anti-Vaccination League 1896

    The British Anti-Vaccination

    League encouraged the public to

    obtain smallpox vaccinationexemptions.

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    The term "conscientious objector" originally referred to opponentsof England's aggressively-enforced smallpox vaccination

    requirement in the late nineteenth century.

    Durbach, N. in : Class, Gender, and the Conscientious Objector to

    Vaccination, 1898-1907.

    Conscientious Objectors at a

    quarry works near Aberdeen,

    October 1916.

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    Seat belts do not cause reckless driving, tetanus shots do not cause

    children to see out rusty nails, and hepatitis B vaccination has notaltered sexual practices or increased injection-drug abuse in any

    population. Dr. Bradley Monk, UC Irvine

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    Ro = contacts per unit time

    x

    transmission probability

    x

    duration of infectiousness

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    20

    10

    15

    5

    0

    Ro

    Measles

    Chicken

    Pox

    Polio

    Smallpox

    InfluenzaEbola

    90-95%

    85-90%

    85%

    80%50%

    33%

    Data from Anderson & May 1992

    P > 1( 1/ Ro)

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    Ro = contacts per unit timex

    transmission probability

    x

    duration of infectiousness

    Measles

    Medium

    High

    Low

    Ro = 11-18

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    Ro = contacts per unit timex

    transmission probability

    x

    duration of infectiousness

    Influenza

    Medium

    Medium

    Low

    Ro = 2-10

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    Ro = contacts per unit timex

    transmission probability

    x

    duration of infectiousness

    Ebola

    Low

    Low

    Low

    Ro < 1

    http://upload.wikimedia.org/wikipedia/commons/a/ab/7042_lores-Ebola-Zaire-CDC_Photo.jpg