Bianchi-I cosmology with generalised Chaplygin gas and periodic deceleration parameter

We investigate the Bianchi-I cosmological model in presence of generalised Chaplygin gas, variable gravitational and cosmological constant. The exact solutions of Einstein field equations are obtained with time varying periodic deceleration parameter. The graphical representation method has been used to discuss the physical and dynamical behaviour of the model. Further, the stability and physical acceptability of the obtained solutions have been investigated. Most of the parameters show periodic behaviour in this study due to the presence of cosine function in the deceleration parameter. In all cases, pressure is negative, which leads us to late time expansion of the universe. The considered models are found to be stable.