The dynamical analysis of a parameterized dark energy cosmological model in the f(R,G) gravity

Abstract

In this paper, we investigate the dynamical behavior of the universe with a flat FLRW model in [Formula: see text] gravity, where [Formula: see text] and [Formula: see text] both signify the Ricci scalar and Gauss–Bonnet invariant. Furthermore, in order to determine the model’s behavior, it must have the late-time universe’s behavior, which involves both an accelerated expansion as well as ending in a big rip. We present a model that begins with a point-type singularity, i.e. a point with zero volume and infinite energy density, by using parametrization of the scale factor [Formula: see text]. The model’s actions are accelerating and expanding at the moment, and [Formula: see text]CDM in late times. Our extensive analysis encompasses the energy conditions, dynamics of certain model solutions and additional cosmological tests through a dominant model. Finally, the proposed framework acts exactly like a quintessence dark energy model in the current time and is reliable with standard cosmology [Formula: see text]CDM in late times.