Depends on the nature of the resin but simple answer is that increased target protein concentration of input will increase the dynamic binding capacity. The limiting capacity is the amount you can get to bind with the pure target product.
Generally an increase in the concentration can increase the DBC, in particular at lower overall concentrations. This can be explained by the langmuir isotherm, in which the equilibration concentration bound to the stationary phase increases with the concentration in the mobile phase.
At higher concentrations there is not much of an influence. Also if you have a very high affinity binding (rectangular langmuir isotherme) there will be not much of a difference.
Diffusion and mass transport limitations can also change the DBC