The purpose of this article was to examine the behavior of the Little Rip (LR) and Pseudo rip (PR) models with two interacting ideal fluids related to dark energy and dark matter with the quadratic equation of state with time-dependent parameters \(\omega (t)\) and \(\Lambda (t)\) in flat Friedmann–Lemaitre–Robertson–Walker cosmological model. In this article, the gravitational equations of motion for dark matter have been solved. The equation of the state parameter \(\omega (t) \rightarrow -1\) has been discovered. Also, discovered \(\Lambda (t) \rightarrow \infty \) as \(t\rightarrow \infty \), it shows that the future behavior of our universe depends on specific model parameters \(\omega (t)\) and \(\Lambda (t)\) for the coupled dark energy. In this formalism, the properties of the early universe are pointed out.

本文的目的是通过具有时间相关参数的二次状态方程来检查 Little Rip (LR) 和 Pseudo rip (PR) 模型的行为，其中两种相互作用的理想流体与暗能量和暗物质有关\(\ omega (t)\)和\(\Lambda (t)\)在平坦的 Friedmann–Lemaitre–Robertson–Walker 宇宙学模型中。在本文中，已经求解了暗物质的引力运动方程。状态参数\(\omega (t) \rightarrow -1\)的方程已被发现。此外，发现\(\Lambda (t) \rightarrow \infty \)为\(t\rightarrow \infty \)，这表明我们宇宙的未来行为取决于特定的模型参数\(\omega (t)\)和\(\Lambda (t)\)为耦合暗能量。在这种形式主义中，指出了早期宇宙的特性。