Bionic micro-fluidic driving model is built in this paper based on the velocity source immersed boundary-lattice Boltzmann method. In order to avoid the transformation between the velocity and the force, this method introduces an immersed boundary into the lattice Boltzmann equation as the velocity source, which can reduce the computational expense. Firstly, the effects of the traveling waves produced by the elastic filament on the velocity and pressure of the flow field are studied. Secondly, the paper focuses on the influences of parameters on the flow rate. Results show that the flow rate increases with increasing frequency, wave amplitude, and filament length. Relationships between the flow rate and the other parameters of the model, such as the position of filament, wavelength, and kinematic viscosity of the fluid, are shown to be nonlinear and complicated.