Hello Tony.
From your description you have a pressure switch controlled system. This is usually manufactured by Whale, and is white, with a plastic ribbed knob that you can adjust. It is usually sited just inside the cravan on the floor close to the water inlet fitting, and inline with the cold water pipe.
The fact that it 'pulses' tells me three things, firstly the pump is healthy, secondly that the pressure sensitive switch is operating, and thirdly that you have a leak of some sort on the water system.
I assume that you have not found any pools of water near any pipe work or taps, in which case I strongly suspect that the pressure switch (despite what I said above) is faulty. The device should have a non-return valve fitted to the input side, so that when the pump runs water will fill the pipe work, but as there is no tap open, the pipe work becomes pressurised. as the pressure builds the pressure sensitive switch senses it and eventualy turns the pump power off. The non-return valve should lock the pressure in the pipe, but in your case I think it is not sealing properly, and lets the pressure leak back to your aquaroll - hence no obvious leak.
The pressure switch may just need to be carefully taken apart and cleaned, otherwise it may need to be replaced.