A single species population model subject to additive Allee effects, due to predation satiation is proposed and analyzed by considering a continuous strategy evolutionary game theory $\left(EGT\right)$. Moreover, we consider the aposematic behavior of the population. We assume a single trait that affects aposematic behavior and saturation constant, following the Gaussian distribution. First, we analyze our single species deterministic model in global perspective. Then, we consider the aposematism parameter and saturation constant are functions of a mean phenotypic trait subject to evolution and formulate a model that describes the coupled population and mean trait dynamics. We can see that the extinction equilibrium also can be an evolutionary stable strategy $\left(ESS\right)$ depending on the evolutionary functional forms. The ratio of variation in aposematic behavior and saturation constant phenotypes has some important role in the equilibria stability and $ESS$ conditions of our evolutionary model. We find the $ESS$ conditions for all equilibria and numerical simulation suggests that our evolutionary model can have multiple $ESS$s.

提出并考虑了连续策略进化博弈理论，对由于捕食满足而受到加性Allee效应影响的单物种种群模型进行了分析。 $（ËGŤ）$。此外，我们考虑人口的无定性行为。我们假设一个影响高斯分布和饱和常数的特征遵循高斯分布。首先，我们从全球角度分析我们的单一物种确定性模型。然后，我们认为放气参数和饱和常数是受进化影响的平均表型性状的函数，并建立了描述种群和平均性状动力学耦合的模型。我们可以看到，灭绝平衡也可以是进化上的稳定策略$（Ë\mathrm{小号}\mathrm{小号}）$取决于进化的功能形式。在平衡稳定性和平衡稳定性方面，客体行为和饱和常数表型的变化率具有重要作用。$Ë\mathrm{小号}\mathrm{小号}$我们的进化模型的条件。我们发现$Ë\mathrm{小号}\mathrm{小号}$ 所有平衡的条件和数值模拟表明我们的演化模型可以具有多个 $Ë\mathrm{小号}\mathrm{小号}$s。