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We investigate the cosmic dynamics of Rastall gravity in non-flatFriedmann-Robertson-Walker (FRW) space-time with barotropic fluid. In thiscontext, we are concerned about the class of model satisfying the affineequation of state. We derive the autonomous system for the Rastall model withbarotropic fluid. We apply the derived system to investigate the criticalpoints for expanding and bouncing cosmologies and their stable nature andcosmological properties. The expanding cosmology yields de Sitter universe atlate times with decelerating past having matter and radiation dominated phases.Investigation of autonomous system for bouncing cosmology yields oscillatingsolutions in positive spatial curvature region. We also investigate theconsequences of setting-up a model of non-singular universe by using energyconditions. The distinct features of the Rastall model compared to the standardmodel have been discussed in detail.

Cosmic dynamics and qualitative study of Rastall model with spatial curvature