A recursive solution is obtained for the Laplace transforms of the probabilities in the epidemic model with carriers subject to a general infection mechanism.

In this article we examine an approximation to the carrier-borne epidemic process with both susceptible and carrier immigrations. It is shown that the approximate susceptible stochastic process is Poisson, with a mean equal to the deterministic number of susceptibles.

This paper is concerned with the transport of solid particles in a turbulent fluid flowing through a tank. The movement of the particles is approximated by one-dimensional random walks in both discrete and continuous time. General formulae are derived for the probabilities of sedimentation and...