The main purpose of this paper is to construct interacting and non-interacting Tsallis holographic dark energy models in an anisotropic and homogeneous Bianchi type-$V{I}_0$ space time within the framework of a scalar tensor theory proposed by Saez and Ballester (1986). For this purpose, we use the relationship between metric potentials of the model and varying deceleration parameter to solve the Saez–Ballester field equations. In order to study the physical behavior of the models, we obtain some well-known cosmological parameters like deceleration, equation of state, statefinder, $Om$ diagnostic parameters, and ${\omega }_T$ - ${\omega }_T^{{}^{\prime }}$ planes of the models. Also, we observe that in our non-interacting and interacting models deceleration and equation of state parameters support the recent observational data.

本文的主要目的是在各向异性和均质 Bianchi 型中构建相互作用和非相互作用的 Tsallis 全息暗能量模型 -$伏{\mathrm{一世}}_0$Saez 和 Ballester (1986) 提出的标量张量理论框架内的时空。为此，我们使用模型的度量电位与变化的减速参数之间的关系来求解 Saez-Ballester 场方程。为了研究模型的物理行为，我们获得了一些众所周知的宇宙学参数，如减速度、状态方程、状态查找器、$哦米$ 诊断参数，和 ${\omega }_{吨}$ —— ${\omega }_{吨}^{{}^{\prime }}$模型的平面。此外，我们观察到，在我们的非交互和交互模型中，减速和状态参数方程支持最近的观测数据。