The light receptor of the eye is a protein called Rhodopsin. To me the equivalent of shutter speed for the eye is the (de)sensitization of rhodopsin by phosphorylation. The brighter the light, the more sites on rhodopsin are phosphorylated, diminishing the intensity of the signal coming from the photo receptor via the transducin G protein that conveys the visual signal onward.
This process takes a few seconds, but then it's possible to see when stepping into sunlight or in a darkened room.
This is more like a volume knob than a shutter speed since the same signal comes out at the same rate of each light sensor, but it has a similar effect — it modulates the intensity of the image.
Actually I feel dumb but there is a simple answer to this question. You can get lost in the above physiology. The simpler answer is about 20 fps. Whenever strobing stops and persistence of vision takes over to create a continuous image is an interesting way to answer this question. That's how television and movies (and videos) work. 30 fps looks pretty smooth. It's not a perfect answer because 60 or 100 fps are functionally useful for situations like video games where fast reaction time is important.