A general solution for the epidemic with carriers
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.
Laplace transforms of the transition probabilities
scientific article; zbMATH DE number 3959185