Trying to avoid something undesirable or unpleasant can represent avoiding (or wanting to avoid) something in real life.
For example, avoiding a friend could represent anger at them or fear of them asking you for something you don’t want to give.
Consider also the meaning of whatever you’re avoiding in the dream.
Avoiding someone with ill intent toward you could represent a feeling or fear of being manipulated, taken advantage of, or threatened (physically, emotionally, or mentally).
Someone trying to avoid you may represent a feeling or fear of that person avoiding or abandoning you in real life (for more clues, consider why they’re avoiding you in the dream).
See Also: Hiding, Escaping, Warning
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