In this work we model two non-linear directly interacting scenarios in dark sector of the universe with the dimensionless parameter $\alpha$ and $\beta$, which dominate the energy exchange between dark energy and dark matter. The central goal of this investigation is to research the interacting model and discuss the cosmological implications based on the current observational datasets. The class of the interaction is generally characterized by a coupling function $Q\propto H\left(z\right){\rho }_x$, $x$ denotes the energy density of dark matter or dark energy. The constrained results we obtained indicate that the direct interaction in cosmic dark sector is favored by various observational data and the key effects on CMB power spectrum and linear matter power spectrum appear compared to $\Lambda$CDM standard paradigm. Finally, we discuss in depth the effect of different neutrino mass hierarchy on matter power spectrum and the variation of the ratio of CMB temperature power spectrum $C_{\ell }^{TT}$ and matter power spectrum $P\left(k\right)$ when the $\Delta N_{eff}=N-3.046$ from 0.5 to 2, respectively.

在这项工作中，我们使用无量纲参数对宇宙暗区中的两个非线性直接相互作用的场景进行建模 $\alpha$ 和 $\beta$，它主导着暗能量和暗物质之间的能量交换。这项研究的主要目标是研究相互作用的模型并根据当前的观测数据集讨论宇宙学意义。交互作用的类别通常以耦合函数为特征$问\propto H（ž）{\rho }_X$， $X$表示暗物质或暗能量的能量密度。我们获得的约束结果表明，宇宙暗区中的直接相互作用受到各种观测数据的青睐，与之相比，对CMB功率谱和线性物质功率谱的关键影响出现了。$\Lambda$CDM标准范例。最后，我们深入讨论了不同中微子质量体系对物质功率谱的影响以及CMB温度功率谱的比率变化$C_{\ell }^{ŤŤ}$ 和物质功率谱 $P（ķ）$ 当。。。的时候 $\Delta {ñ}_{ËFF}=ñ-3。046$ 从0.5到2。