Well, disputes occur between members within all social species. Interaction — which is what being social is about — involves and runs the gamut from simple communication, to camaraderie, play, friendship, and agreement, to disagreement, oneupmanship, disputes, fights, and becoming enemies. It happens in human families, and it happens within families of other social species as well, and here it happens between coyotes.
I put out a field camera next to picnic tables a few nights ago. I’ve put it out here before — it’s a good spot because animals regularly come by — mostly raccoons and a skunk. The camera amazingly captured an intense fight between the alpha male and alpha female of a coyote family I’m following: yikes, a family fight! In the video, it’s the alpha male who charges in and angrily confronts the female. She stands up for herself and fights back angrily. Make sure to have your audio on, as the sounds are impressive. These are mature coyotes who only recently have become a pair in a sort of reconfigured family. Each had been part of different families before their changed circumstances (for instance, death of one of their mates) caused them to come together. It could be that the fight in this video is them still working out the hierarchy between themselves. Then again, maybe it’s just a little squabble, or something bigger going on. I don’t know.
When coyotes communicate, be it to our dogs or each other, they are intense about it so that there is no uncertainty, misinterpretation or misunderstanding about what they are trying to get across. Here is a video of a mother coyote communicating to a dog in no uncertain terms: it is intense, insistent and persistent which sometimes makes it very scary to us civilized humans. And here is a photo of a snarly communication by an older sibling to a youngster: notice the surley face, angry eyes, wrinkled nose, gaping mouth, and teeth showing, and this occurred right after the youngster had extended a very warm greeting to that older brother. As I say, coyote communication is intense. This, along with deep growling or grunting is how they communicate with each other, and if that doesn’t work, they can get physical, as in this video.