Transcript Age structured model II

The basic model II
Zhuobin Li
Outline
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Latent period and maternal antibodies
Stochastic aspects of persistence of infection
within a population
Basic Model
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Assumption
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Previous model
Age-specific host death rate, per capita
Age-specific recovery rate
Age-specific disease-induced death rate
‘force of infection’ at time t
Latent period
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Model with inborn immunity
Host population be born into an immune class
Population in latent period
Rate of transferring from latent class to infected class
Rate of transferring from immune class to susceptible
class
Latent period
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Solution
Maternal antibodies
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Antibody with the new born baby
Maternal antibodies
Maternal antibodies
Maternal antibodies
The average age at which individuals acquire infection, A.
Maternal antibodies
Stochastic aspects
Stochastic aspects
Stochastic aspects
Stochastic aspects