In this paper, we have studied the stability of the cosmological models with dark energy and combination of matter fields and dark energy in an anisotropic space time. The pressure anisotropy along the spatial directions are derived and its stability in each direction has been examined. The four models presented here, show its stability on certain spatial direction. The role of matter field on the stability analysis has been obtained. The positive and negative value of cosmic string completely changed the stability behaviour of the model. The presence of a magnetic field disturbs the stability aspects of the models at least in an early epoch.

中文翻译：

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两流体暗能量模型的稳定性分析

在本文中，我们研究了暗能量和物质场与暗能量结合的宇宙模型在各向异性时空的稳定性。导出了沿空间方向的压力各向异性，并检验了其在每个方向上的稳定性。这里介绍的四个模型显示了它在某些空间方向上的稳定性。得到了物质场在稳定性分析中的作用。宇宙弦的正负值彻底改变了模型的稳定性行为。磁场的存在至少在早期会干扰模型的稳定性。