The study of epidemics on social networks has attracted considerable attention recently. In this paper, we consider a stochastic SIR (susceptible-->infective-->removed) model for the spread of anâ€¦ (More)

Quantifying diversity is of central importance for the study of structure, function and evolution of microbial communities. The estimation of microbial diversity has received renewed attention withâ€¦ (More)

This paper is concerned with a general stochastic model for susceptible-->infective-->removed epidemics, among a closed finite population, in which during its infectious period a typical infectiveâ€¦ (More)

We consider a stochastic SIS model for the spread of an epidemic amongst a population of n individuals that are equally spaced upon the circumference of a circle. Whilst infectious, an individual, iâ€¦ (More)

We consider the spread of an epidemic through a population divided into n sub-populations, in which individuals move between populations according to a Markov transition matrix Î£ and infectives canâ€¦ (More)

We analyse SIS epidemics amongst populations partitioned into households. The analysis considers both the stochastic and deterministic model and unlike previous analysis, we consider generalâ€¦ (More)

We analyse a Markovian SIS epidemic amongst a finite population partitioned into households. Since the population is finite, the epidemic will eventually go extinct, i.e., have no more infectives inâ€¦ (More)

Coupons are collected one at a time from a population containing n distinct types of coupon. The process is repeated until all n coupons have been collected and the total number of draws, Y , fromâ€¦ (More)

We consider a multitype epidemic model which is a natural extension of the randomized Reedâ€“Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit theorem for theâ€¦ (More)