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- W2060736161 abstract "We describe a stochastic susceptible–infective–susceptible (SIS) model for transmission of infectious disease through a population, incorporating both direct host–host transmission and indirect transmission via free-living infectious stages (e.g. environmental bacteria). Existence of a quasi-stationary distribution conditional upon nonextinction of infection is established. A bivariate Ornstein–Uhlenbeck approximation is used to investigate the long-term behaviour of the process conditional upon nonextinction of infection. We show that indirect transmission leads to lower variability in the number of infected hosts present in quasi-stationarity and, consequently, to a greater tendency of infection to persist, compared with a model with direct transmission only and the same average individual infectivity. Some numerical work illustrating these results is presented." @default.
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- W2060736161 date "2005-09-01" @default.
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- W2060736161 title "A stochastic SIS infection model incorporating indirect transmission" @default.
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- W2060736161 doi "https://doi.org/10.1239/jap/1127322023" @default.
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