Dynamical system approach of interacting dark energy models with minimally coupled scalar field

We investigated the stability condition of Formula: see text gravity theory with interacting and noninteracting models by using dynamical system. We assume the Formula: see text function as Formula: see text, where Formula: see text is the free parameter. We evaluated the critical points for this model and examined the stability behavior. We found two stable critical points for interacting model. The phase plots for this system are examined and the physical interpretation is discussed. We illustrate all the cosmological parameters such as Formula: see text, Formula: see text, Formula: see text and Formula: see text at each fixed point and compare the parameters with observational values. Further, we assume hybrid scale factor and the equation of redshift and time is Formula: see text. We transform all the parameters in terms of redshift by using this equation and examine the behavior of these parameters. Our model represents the accelerated expansion of the universe. The energy conditions are examined in terms of redshift and strong energy conditions are not satisfied for the model. We also find the statefinder parameters Formula: see text in terms of z and discuss the nature of r–s and r–q plane. For both pairs Formula: see text and Formula: see text our model represents the Formula: see textCDM model. Hence, we determine that our Formula: see text model is stable and it satisfies all the observational values.