This study deals with conditional Ulam stability for the logistic equation $\frac{dx}{dt}=x(a+bx)$ for $t\ge 0$, where $a\ne 0\ne b$. The core of this study is establishing conditional Ulam stability for the equation $\frac{dx}{dt}=x(x-1)$ for $t\ge 0$. The main theorem can be obtained by combining a result obtained by Popa et al. (2018) with a result of this study. Finally, the obtained result is applied to the logistic model $\frac{dP}{dt}=r\left(1-\frac{P}{K}\right)P$.

中文翻译：

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条件 Ulam 稳定性及其在逻辑模型中的应用

本研究涉及逻辑方程的条件 Ulam 稳定性 $\frac{dX}{d吨}=X(\mathrm{一种}+乙X)$ 为了 $吨\ge 0$， 在哪里 $\mathrm{一种}\ne 0\ne 乙$. 本研究的核心是建立方程的条件Ulam稳定性$\frac{dX}{d吨}=X(X-1)$ 为了 $吨\ge 0$. 主定理可以通过结合 Popa 等人获得的结果来获得。(2018) 与这项研究的结果。最后，将得到的结果应用于逻辑模型$\frac{d磷}{d吨}=r\left(1-\frac{磷}{钾}\right)磷$.