I have a cat that has some issues.  His whiskers look like they are bleeding but there is no blood.  It is where the whisker connects to the skin.  I have done numerous searches on the internet but have found nothing.  Do you have any ideas what this may be?  Thank you for your help.

He could be scratching at his face if he has fleas or some kind of irritation.  He could be having allergies if you recently changed his food or litter or something in your house. Cat use their face to get in everything and their whisper are how they "feel" so he could have gotten into something that irritated him.
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