This article is concerned with a stochastic different equation which describes the evolution of a species in the presence of Allee effects. By utilizing the Feller boundary classification criteria, it is testified that the model has a unique dynamical bifurcation point $\Delta$ with the following properties: if $\Delta <0$, then the zero solution of the equation is stable; if $\Delta >0$, then the equation possesses a unique invariant measure with an explicit density form. Some previous studies are improved and extended. This article also utilizes the theoretical findings to probe the living situation of Painted Hunting Dogs in Africa.

中文翻译：

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具有Allee效应的随机种群模型的动态分岔与显式平稳密度。

本文涉及一个随机的不同方程，该方程描述了存在Allee效应时物种的进化。通过使用Feller边界分类标准，证明该模型具有唯一的动态分叉点$\Delta$ 具有以下属性：if $\Delta <0$，则方程的零解是稳定的；如果$\Delta >0$，则该方程具有唯一的不变量度，具有明确的密度形式。以前的一些研究得到了改进和扩展。本文还利用理论发现来探讨非洲彩绘猎犬的生活状况。