Matrix-geometric methods for the general stochastic epidemic.

J Gani; P Purdue

doi:10.1093/imammb/1.4.333

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Matrix-geometric methods for the general stochastic epidemic.

J Gani·P Purdue

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Abstract

This paper outlines a matrix-geometric formulation of the general stochastic epidemic for the case of a generalized infection mechanism. The forward Kolmogorov equations of the system are derived, and the Laplace transforms of the state probabilities obtained recursively. These lead to the probabilities of survivors of the epidemic. The stochastic threshold theorem for the generalized case is stated.

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Epidemiology Humans Models, Theoretical Stochastic Processes Journal Article

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J Gani, P Purdue. 1984. Matrix-geometric methods for the general stochastic epidemic.. https://doi.org/10.1093/imammb%2F1.4.333

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