A vehicle has an engine, an accelerator control, a limited slip differential (LSD) mounted on an axle driven by the engine, and left and right wheels operably connected to the LSD. An accelerator control position is sensed. A speed of the vehicle is optionally sensed. In order to prevent wheel spin, a high load is selectively applied to the LSD when the accelerator control position meets or exceeds a predetermined position threshold. Optionally, application of the high load may depend on the speed of the vehicle being less than a predetermined speed threshold, the accelerator control position concurrently meeting or exceeding the predetermined position threshold. In order to enhance directional stability of the vehicle, a stabilization load is optionally applied when the speed of the vehicle meets or exceeds the predetermined speed threshold.