Probing the dynamical system and thermal behaviors of the model, Λ 0 + 3 β H 2 \(\varLambda _{0}+3 \beta H^{2}\)

In this work we study the cosmological evolution of a two component model with non-relativistic dark matter and decaying vacuum of the form Λ=Λ0+3βH2\(\varLambda = \varLambda _{0} + 3 \beta H^{2}\). We contrast the model with the supernovae data and found that the model parameter β=−0.010\(\beta =-0.010\) when the interaction parameter, b=0\(b=0\) and is β=−0.002\(\beta =-0.002\) when b=0.001\(b=0.001\). The thermal evolution study of the model indicates that it obeys the generalized second of entropy and also satisfies the convexity condition, S¨