In this paper, we deal with the non-autonomous logistic growth model with time-dependent intrinsic growth rate and carrying capacity. Accounting for errors in recorded data, randomness is incorporated into the equation by assuming that the input parameters are random variables. The uncertainty of the model output is quantified by approximations of the first probability density function via the random variable transformation method. A numerical example illustrates the results.

中文翻译：

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关于时变系数的随机非自治Logistic方程

在本文中，我们处理具有时间依赖的内在增长率和承载能力的非自主逻辑增长模型。考虑到记录数据中的错误，通过假设输入参数是随机变量，将随机性纳入方程。模型输出的不确定性通过随机变量变换方法通过第一概率密度函数的近似来量化。一个数值例子说明了结果。