Mathematics, Volume 11, Issue 21
2023 November-1 - 159 articles
Cover Story: We consider the evolution of a finite population constituted by susceptible and infectious individuals and compare several time-inhomogeneous deterministic models with their stochastic counterpart based on finite birth processes. For these processes, we determine the explicit expressions of the transition probabilities and of the first-passage time densities. For time-homogeneous finite birth processes, the behavior of the mean and the variance of the first-passage time density is also analyzed. Moreover, the approximate duration until the entire population is infected is obtained for a large population size. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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