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Final Outcome of an Epidemic in Two Interacting Populations |
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PP: 159-176 |
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Author(s) |
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Hamid El Maroufy,
Ziad Taib,
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Abstract |
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| we consider a stochastic model for the spread of an epidemic in a closed population
consisting of two groups, in which infectives cannot change their group, but are able to
infect outside it. Using the matrix-geometric method we obtain a recursive relationship
for the Laplace transform of the joint distribution of the number of susceptibles and
infectives in the two groups. We also derive the distribution of the total observed size
of the epidemic as well as its duration in the case of a general infection mechanism. |
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