Observational constrained gravity cosmological model and the dynamical system analysis

Abstract

Abstract In this paper, we have analyzed the geometrical and dynamical parameters of cosmological model, (R, being the Ricci scalar and Gauss–Bonnet invariant respectively), constraining the parameters through the cosmological data sets. It is exhibited that the model admits a viable radiation era, and early deceleration followed by late-time acceleration in the matter-dominated era. From the phase-space, portrait stability criterion has been analyzed, restricting the parameter β, different from β = − 1 . Additionally, we have explored the stability of the model from the behavior of critical points and obtained the present value of the density parameter for matter-dominated and dark energy components, which are identical to those obtained through cosmological data sets.