A general solution for the epidemic with carriers (Q1078113)
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scientific article; zbMATH DE number 3959185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general solution for the epidemic with carriers |
scientific article; zbMATH DE number 3959185 |
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A general solution for the epidemic with carriers (English)
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1986
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The authors consider a Markovian model for the closed carrier-borne epidemic, which generalizes the model proposed by \textit{G. H. Weiss}, Biometrics 21, 481-490 (1965), in that the infection rate may be an arbitrary function of the numbers of susceptibles and carriers. Using matrix-geometric methods, an explicit recursion formula is obtained for the Laplace transforms of the transition probabilities. As an application, Weiss' formula for the extinction probabilities in his model is derived.
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survival probabilities
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Kolmogorov equations
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closed carrier-borne epidemic
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matrix-geometric methods
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explicit recursion formula
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Laplace transforms of the transition probabilities
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extinction probabilities
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