In this work, we consider the cosmological constraints on the interacting dark energy models. We generalize the models considered previously by Guo { \it et al.}, Costa and Alcaniz, and try to discuss two general types of models: type I models are characterized by $\rho_{ _X}/\rho_m=f(a)$ and $f(a)$ can be any function of scale factor $a$, whereas type II models are characterized by $\rho_m=\rho_{ m0}\,a^{ -3+\epsilon(a)}$ and $\epsilon(a)$ can be any function of $a$. We obtain the cosmological constraints on the type I and II models with power-law, CPL-like, logarithmic $f(a)$ and $\epsilon(a)$ by using the latest observational data.
Categories: gr-qc astro-ph.CO hep-th