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.

中文翻译：

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具有时变承载力的随机物流人口模型

在本文中，我们处理了具有时间依赖性承载能力的逻辑增长模型，该模型在文献中提出，用于研究健康人皮肤阻塞期间的总细菌生物量。考虑到数据和模型错误，通过假设输入参数为随机变量将随机性纳入方程式。通过截断级数解与随机变量变换方法的近似随机过程来量化不确定性。数值例子说明了理论结果。