Abstract
The paper deals with a theoretical model for interacting dark energy (DE). The interaction between the cold dark matter (dust) and the DE has been assumed to be non-gravitational in nature. Exact analytic cosmological solutions are obtained both for constant and variable EoS for DE. It is found that, for very small value of the coupling parameter (in the interaction term), the model asymptotically extends up to Λ cold dark matter, while the model can enter into the phantom domain asymptotically, if the coupling parameter is not so small. Both the solutions are then analysed with 194 Supernovae Type Ia data. The best-fitting parameters are shown with 1σ and 2σ confidence intervals. Finally, we have discussed the cosmographic parameters for both the cases.
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