In this article, we have investigated anisotropic compact star models threaded by quintessence matter contents in the background of embedded class one spacetime. The proposed models are characterized by parameter${\omega }_q$ with in a range $-1<{\omega }_q<-\frac{1}{3}$and satisfying the equation of state $p_r=\alpha \rho$. We have studied the essential physical features of the models in detail graphically as well as analytically. The stability status of the models is ascertained via different well defined criteria in general theory of relativity. The causality condition is well obeyed by our models. We have executed the extensive analysis of the models for the stars LMC X-4 and Vela X-1 having masses $1.04M_{\Theta }$&$1.77M_{\Theta }$ wheres as the radii are 8.301 km and 9.56 km respectively.

在本文中，我们研究了嵌入一级时空背景下由精华物质内容串连的各向异性致密星模型。所提出的模型的特征在于参数${\omega }_q$ 在一个范围内 $-1<{\omega }_q<-\frac{1}{3}$并满足状态方程 $p_r=\alpha \rho$. 我们以图形和分析的方式详细研究了模型的基本物理特征。模型的稳定性状态通过广义相对论中不同的明确定义的标准来确定。我们的模型很好地遵守了因果关系条件。我们已经对具有质量的恒星 LMC X-4 和 Vela X-1 的模型进行了广泛的分析$1.04{米}_{\Theta }$&$1.77{米}_{\Theta }$ 其中，半径分别为 8.301 公里和 9.56 公里。