  We study a general stochastic rumour model in which an ignorant individual
has a certain probability of becoming a stifler immediately upon hearing the
rumour. We refer to this special kind of stifler as an uninterested individual.
Our model also includes distinct rates for meetings between two spreaders in
which both become stiflers or only one does, so that particular cases are the
classical Daley-Kendall and Maki-Thompson models. We prove a Law of Large
Numbers and a Central Limit Theorem for the proportions of those who ultimately
remain ignorant and those who have heard the rumour but become uninterested in
it.
