It is interesting to note that the "eyeshine" we see here is a quite different mechanism from the "redeye" effect we often see in humans.
The eyeshine results from a fascinating feature of the eyes of most carnivores (and various other species as well), the tapetum lucidum. This is a reflective layer behind the retina proper. It takes the part of the image light that passes through the retina proper and reflects it forward so it strikes the retina from the rear, increasing the overall sensitivity of the retina. (It is slightly reminiscent of the "backlit" sensor now emerging into digital camera technology.) Not surprisingly, the effect is most prominently found in nocturnal hunting animals.
The effect can exhibit different colors, with blue, green, or cyan being most common (although it is red in rodents).
The actual redeye effect is caused by reflection of light from another feature behind the retina, the choroid, which nourishes the back of the eye. It is more prominent in humans with blue eyes than brown eyes.
In animals with a tapetum lucidum and blue eyes, the redeye effect may overpower the eyeshine effect. In animals with two different color eyes (some Siberian Husky dogs, for example), we may see from the blue eye the red phenomenon of redeye and from the other eye the green phenomenon of eyeshine.
Because the tapetum lucidum only covers part of the retina, eyeshine declines more rapidly when the subject looks away from the camera than does redeye.
Best regards,
Doug