Tsallis holographic model of dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\mathrm{\prime }}$ pair in the non-flat universe

The paper investigates the Tsallis holographic dark energy (THDE) model in accordance with the apparent horizon as an infrared cut-off, in a non-flat universe. The cosmological evolution of the deceleration parameter and equation of state of THDE model are calculated. The evolutionary trajectories are plotted for the THDE model for distinct values of the Tsallis parameter $\delta$ besides distinct spatial curvature contributions, in the statefinder $(r,s)$ parameter-pairs and ${\omega }_D-{\omega }_D^{{}^{\mathrm{\prime }}}$ plane, considering the present value of dark energy density parameter ${\mathrm{\Omega }}_{D0}$, ${\mathrm{\Omega }}_{D0}=0.72$, in the light of $WMAP+eCMB+BAO+H_0$ observational data. The statefinder and ${\omega }_D-{\omega }_D^{{}^{\mathrm{\prime }}}$ plane plots specify the feature of the THDE and demonstrate the separation between this framework and other models of dark energy.