  The paper explores the interacting Tsallis holographic dark energy (THDE)
model in a non-flat universe following an infrared cutoff as the apparent
horizon. The equation of state (EoS) and the deceleration parameter of THDE
model are determined to understand the cosmological evolution for interacting
THDE model in the nonflat universe. By applying the statefinder $(r, s)$
parameter-pairs diagnostic and $\omega_D-\omega'_D$ pair dynamical analysis for
the derived THDE model, we plot the evolutionary trajectories for different
cases of Tsallis parameter $\delta$ and interaction term $b^{2}$ and also, for
spatial curvature $\Omega_{k0}= 0, -0.0012$ and $0.0026$ corresponding to flat,
open and closed universes, respectively, in the framework of Planck 2018 base
cosmology results VI-LCDM observational data.
