Evade vs Avoid

When meaning
to get away from
they are synonyms.

But look in a good dictionary for their multiple definitions. In general, they are not synonyms.

BellyI cannot distinguish evade and avoid, anybody help?

You avoid something or somebody when you keep away from them. She was getting tired of him and tried to avoid him whenever possible.

You evade something when you manage to avoid dealing with it or accept it. He was never a person who evaded responsibility or duty.

'Evade

So, what is the difference between:
He’s been avoiding me all week
He's been evading me all week

He's been evading me - it sounds like you have been trying to find him and he has managed to keep you from finding him.

He's been avoiding me - he has not been trying to find you at all.

You have it right ... to evade is to escape something that is pursuing you; to avoid is to steer clear of a stationary object.

John Doe evaded capture.
Jim is avoiding his homework.