Influence of different planetary gas accretion rates on the stellar gas accretion for the fiducial disc parameters (h = 0.05, α = 10⁻²). Top: time evolution of the accretion rates onto the star at the inner disc (0.2 AU) for eight different cases: the seven different planetary accretions rates (enhanced, fiducial, and reduced) and a disc without a planet (bold blackdashed line). A more efficiently accreting planet decreases the stellar accretion rate more efficiently. This is due to the depletion of the inner disc induced by the planetary accretion. The black dots mark the time at which the surface density profiles are plotted. Bottom panel: perturbed surface density at time t = 3000 orbits = 36 539 yr for the seven different cases. The vertical gray dashed line lies at 0.2 AU which is the location of the inner disc, where the stellar accretion is measured.