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We now reflect on the advantages of targeted vaccination. In particular we use the model structure developed in Program 3.1 to consider the advantages of targeting vaccination towards high-risk or low-risk individuals. (Program 3.1 provides the basic details of the model).
Again we allow for a delay, such that vaccination is begun after time tV.
Parameters
| β |
is the matrix of transmission rates and incorporates the encounter rate between susceptible and infectious individuals together with the probability of transmission |
| γ |
is called the removal or recovery rate, though often we are more interested in its reciprocal (1/γ) which determines the average infectious period |
| μH |
is the birth rate for the high risk group. The proportion of the population in the high-risk group is μH/μ |
| μL |
is the birth rate for the low risk group. The proportion of the population in the high-risk group is μL/μ |
| μ |
is the per capita death rate and is equal to μH+μL |
| pH |
is the proportion of the high-risk group that are vaccinated at birth |
| pL |
is the proportion of the low-risk group that are vaccinated at birth |
| tV |
is the time at which the vaccination program is begun |
| SX(0) |
is the initial proportion of the population that are both susceptible and in risk group X |
| IX(0) |
is the initial proportion of the population that are both infectious and in risk group X |
All rates are specified in years.
Requirements.
All parameters must be positive, and nH ≤ 1, IH(0)≤ nH, IL(0)≤ (1-nH), SH(0)≤ nH, SL(0)≤ (1-nH).
Files
MATLAB Code, Python Program, Parameters.
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