You are saying stray dogs only LIVE in their territories and do not DEFEND them from other stray dogs like it's their property?
Private Property is man made concept, it is not a natural thing. Private property is not same as territory. If you still think it is, please name one case where an animal has inherited the territory from their parents? How about someone owning land on other side of the world... give me one example of this in natural environment? I know you can't, as such thing doesn't exist, which is why I KNOW private property is not a natural thing at all... and there is no such thing in flora or fauna.
Also, in animal world, animals don't pay/make other animals defend their territory, humans do. In animal world animal defends their territory themselves (off of which they depend and live of, and only take what they NEED, none of which happens in human modern society any more) humans pay and rely on others (laws and law enforcement, or better... if you are very rich... private security to, even buy out politicians to protect them also, which is why this democracy is basically just an illusion).
