An infusion pump is provided, including a specially programmed microprocessor, a flow sensor for measuring flow from a source of fluid through an output tubing, a pumping section including a plurality of fingers in operational relationship to the output tubing, an outlet valve associated with the output tubing, and a first actuator configured for sequentially displacing the plurality of fingers to displace fluid through the output tubing. An inlet valve is disposed between the pumping section and the source of fluid; and a second actuator is also included. For detection, by the flow sensor, of flow above a predetermined level, the microprocessor is configured for one of: closing the outlet valve independently of the inlet valve using the first actuator; and closing the inlet valve independently of the outlet valve using the second actuator.