Perry Bible Fellowship

Think it's just supposed to be the bear's sidekick. Something of an explanation here:

In "Bear Police", some naughty kids are spraying graffiti on the wall. Here comes Mr. Bear the Policeman, along with his friend, a white dove! The cop is, however, still a bear, and he proceeds to use his bear paw to somewhat graphically knock out the brains of at least one of the vandalizing kids, before he and his bird friend go for a well-deserved cup of coffee and a donut.

One of the weaker PBF comics IMO, it's one of the earlier ones that didn't quite match the later style. It probably would've worked more to go more graphic and show the bear eating them, or show the bear in a cave with their bones, still wearing the police uniform, or something kind of absurd like that.