Diagnosing interacting Tsallis holographic dark energy in the non-flat universe

This 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 non-flat 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.