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TRANSCRIPT
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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