To disturb means to interfere with something that is at rest or at peace. For example, throwing a stone into a calm lake would disturb the surface of the water.
To bother specifically means to annoy somebody.
Imagine you are trying to study and your kids keep coming into your room and making noise. In this case, you could use either one: they are bothering you (because you are annoyed) or they are disturbing you (because they are interfering with your concentration).
Now imagine you are exercising in the park, and there are many insects. The insects are bothering you (because you are annoyed) but they are not disturbing you (because you are not at rest; you are moving while you exercise).
Finally, imagine that you learn that your best friend has committed a violent crime. This would disturb you (because it interferes with your peace of mind) but you probably wouldn't say it bothers you (because it's not annoying).
Star anise is a type of fruit. It grows in China Japan and many other countries in Asia. Due to its sweet taste and rich fragrance it is used as a cooking ingredient for flavoring curries and for pickling. It has an aniseed like flavor odor and taste.Star anise has many uses in the kitchen and out of it as well. The fruit is used to obtain a volatile oil which is colorless or pale yellow with an anise oil like odor and aromatic taste. The fatty oil obtained from the star anise fruit is used as a raw material in the production of soap. The fatty oil extracted from its fruit is also used as an edible oil. It is also used in making perfumes. In many countries it is also used as a mouth freshener. Star anise is an important ingredient in stews and curries.