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- W2018314456 abstract "This paper presents a full probabilistic description of the solution of random SI-type epidemiological models which are based on nonlinear differential equations. This description consists of determining: the first probability density function of the solution in terms of the density functions of the diffusion coefficient and the initial condition, which are assumed to be independent random variables; the expectation and variance functions of the solution as well as confidence intervals and, finally, the distribution of time until a given proportion of susceptibles remains in the population. The obtained formulas are general since they are valid regardless the probability distributions assigned to the random inputs. We also present a pair of illustrative examples including in one of them the application of the theoretical results to model the diffusion of a technology using real data." @default.
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- W2018314456 date "2015-07-01" @default.
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- W2018314456 title "Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique" @default.
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- W2018314456 doi "https://doi.org/10.1016/j.cnsns.2014.12.016" @default.
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