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- The paper investigates the Tsallis holographic dark energy (THDE) model in accor dance with the apparent horizon as an infrared cut- off, in a non- flat universe. The cos mological 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 δ besides distinct spatial curvature contributions, in the statefinder (r,s) parameter-pairs and ωD−ωD plane, considering the present value of dark energy density parameter ΩD0, ΩD0 = 0.72, in the light of WMAP +eCMB+BAO+H0 observational data. The statefinder and ωD − ωD plane plots specify the feature of the THDE and demonstrate the separation between this framework and other models of dark energy.
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