Pulse Vaccination Strategy
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The pulse vaccination strategy is a method used to eradicate an epidemic by repeatedly vaccinating a group at risk, over a defined age range, until the spread of the pathogen has been stopped. It is most commonly used during measles and polio epidemics to quickly stop the spread and contain the outbreak.


Mathematical model

Where T= time units is a constant fraction p of susceptible subjects vaccinated in a relatively short time. This yields the differential equations for the susceptible and vaccinated subjects as : : \frac = \mu N - \mu S - \beta \frac S, S(n T^+) = (1-p) S(n T^-) n=0,1,2,\dots : \frac = - \mu V, V(n T^+) = V(n T^-) + p S(n T^-) n=0,1,2,\dots Further, by setting , one obtains that the dynamics of the susceptible subjects is given by: : S^*(t) = 1- \fracE^ and that the eradication condition is:Stone L., Shulgin, B., Agur, Z. Theoretical examination of the pulse vaccination policy in the SIR epidemic model. Mathematical and computer modelling, 2000, 31 (4), 207-215 : R_0 \int_^ < 1


See also

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Critical community size The critical community size (CCS) is the minimum size of a closed population within which a human-to-human, non-zoonotic pathogen can persist indefinitely.Bartlett MS The critical community size for measles in the United States. J R Stat Soc er A ...
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Epidemic model Compartmental models are a very general modelling technique. They are often applied to the mathematical modelling of infectious diseases. The population is assigned to compartments with labels – for example, S, I, or R, (Susceptible, Infectious, ...
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Herd immunity Herd immunity (also called herd effect, community immunity, population immunity, or mass immunity) is a form of indirect protection that applies only to contagious diseases. It occurs when a sufficient percentage of a population has become im ...
* Pulse Polio *
Ring vaccination Ring vaccination is a strategy to inhibit the spread of a disease by vaccinating those who are most likely to be infected. This strategy vaccinates the contacts of confirmed patients, and people who are in close contact with those contacts. Thi ...
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Vaccine-naive Vaccine-naive is a lack of immunity, or immunologic memory, to a disease because the person has not been vaccinated. There are a variety of reasons why a person may not have received a vaccination, including contraindications due to preexisting m ...


References


External links


Immunisation
Immunisation schedule for children in the UK. Published by the UK Department of Health.
CDC.gov
- 'National Immunization Program: leading the way to healthy lives',
US Centers for Disease Control The Centers for Disease Control and Prevention (CDC) is the National public health institutes, national public health agency of the United States. It is a Federal agencies of the United States, United States federal agency, under the United S ...
(CDC information on vaccinations)
CDC.gov
- Vaccines timeline
History of Vaccines
Medical education site from the College of Physicians of Philadelphia, the oldest medical professional society in the US
Images of vaccine-preventable diseases
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