First of all, dreaming of being chased reflects the pressure in your heart or life, which people don't want to face.
It is your relatives who are chasing you, which means that your stress may come from family relations, personal space and so on.
It's a relative who died and became a zombie. Zombies represent heartless people in dreams. Maybe you are worried that your loved ones' feelings will fade, which bothers you and makes you afraid that you will be changed by him.