The safest approach is to avoid home chemicals on the camera and have it professionally cleaned, especially if there’s any chance the insects got into the body or lens areas. Several answers caution against using harsh treatments directly on camera gear because they may cause more damage than the pests.

Also inspect the storage case closely. If the lining or padding is infested, replacing the case is a good idea, since it may be the source of the problem and could re-infest the camera.

Silica gel can help with moisture control, but it won’t necessarily eliminate mites. Sunlight and unverified remedies are also unreliable and may risk heat damage.

One answer mentions paradichlorobenzene crystals or mothballs as a past remedy, but also notes uncertainty about safety with digital cameras. Because of that uncertainty, it’s not the best recommendation for modern gear.

In short: have the camera cleaned by a professional, do not apply insecticides or strong chemicals to the camera, and replace or thoroughly deal with the storage case if it appears to be the habitat.