Battle of words: comparing "bellicose" and "belligerent"

What is similar?
Both words pertain to aggression and warlike behavior. They are often used to describe people or actions that are inclined to start conflicts or demonstrate hostility.
What is different?
Bellicose often refers to a natural disposition toward aggression and liking for conflict, often used more in terms of demeanor or attitude, whereas belligerent can refer to both an attitude of hostility and an entity that is engaged in warfare.
Which one is more common?

Examples of usage
Bellicose- The bellicose stance of the country's leadership concerned neighboring nations.
- Her bellicose nature often led to arguments within the team.
- The negotiations were hindered by the bellicose rhetoric of the representatives.
- The belligerent behavior of the protestors led to a confrontation with the police.
- He became belligerent when someone disagreed with him.
- During wartime, countries in conflict are considered belligerents.