This is the 9899th most frequent Turkish word.
ayısı
The word "ayısı" is not standard Turkish. It might be a misspelling or slang requiring context for interpretation.
The word "ayı" (bear) is used here in its nominal form as part of the possessive construct "ayısı" (his bear).
Ormanda bir ayısı olduğunu söylüyor.
He says that there is a bear in the forest.
In this sentence, "ayısı" again means "his bear", emphasizing possession.
Ayısı çok hızlı koşuyor, dikkat etmek gerekiyor.
His bear is running very fast; caution is needed.
This usage of "ayısı" (the bear of the village) denotes ownership or association with the village.