A Bianchi type-II dark-energy cosmology with a decaying $\Lambda$-term in the Brans–Dicke theory of gravity

We present a sequence of anisotropic Bianchi type-II dark-energy models in the framework of the Brans–Dicke theory of gravity with a variable equation of state (EoS) parameter and a constant deceleration parameter. We use power-law relations between the scalar field $\phi$ and the scale factor $A$ and between the average Hubble parameter $H$ and the average scale factor $A$ to obtain most of the analytic solutions. The dark-energy EoS parameter $\omega$ and its range admitted by the models agrees well with the most recent observational data. It has been observed that the cosmological constant $\Lambda$ is decreasing with time, which is consistent with recent cosmological observations. We study the dynamical stability and physical features of the models.