  In this work, we explore the behavior of interacting dark energy and dark
matter within a model of $f(Q)$ gravity, employing a standard framework of
dynamical system analysis. We consider the power-law $f(Q)$ model incorporating
with two different forms of interacting dark energy and dark matter: $3\alpha
H\rho_m$ and $\frac{\alpha}{3H}\rho_m \rho_{DE}$. The evolution of $\Omega_m,
\Omega_r, \Omega_{DE}, q$, and $\omega$ for different values of the model
parameter $n$ and the interaction parameter $\alpha$ has been examined. Our
results show that the universe was dominated by matter in the early stages and
will be dominated by dark energy in later stages. Using the observational data,
the fixed points are found to be stable and can be represented the de Sitter
and quintessence acceleration solutions. We discover that the dynamical
profiles of the universe in $f(Q)$ dark energy models are influenced by both
the interaction term and the relevant model parameters.
