Matrix-Geometric Methods for the General Stochastic Epidemic
- 1 October 1984
- journal article
- research article
- Published by Oxford University Press (OUP) in Mathematical Medicine and Biology: A Journal of the IMA
- Vol. 1 (4) , 333-342
- https://doi.org/10.1093/imammb/1.4.333
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.Keywords
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