Abstract
In this paper, we deal with the logistic growth model with a time-dependent carrying capacity that was proposed in the literature for the study of the total bacterial biomass during occlusion of healthy human skin. Accounting for data and model errors, randomness is incorporated into the equation by assuming that the input parameters are random variables. The uncertainty is quantified by approximations of the solution stochastic process via truncated series solution together with the random variable transformation method. Numerical examples illustrate the theoretical results.
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Communicated by Valeria Neves Domingos Cavalcanti.
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This work has been supported by the Spanish Ministerio de Economía, Industria y Competitividad (MINECO), the Agencia Estatal de Investigación (AEI), and Fondo Europeo de Desarrollo Regional (FEDER UE) Grant MTM2017-89664-P.
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Calatayud, J., Cortés, JC., Dorini, F.A. et al. On a stochastic logistic population model with time-varying carrying capacity. Comp. Appl. Math. 39, 288 (2020). https://doi.org/10.1007/s40314-020-01343-z
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DOI: https://doi.org/10.1007/s40314-020-01343-z