Ultra balls didn't work that much, I only caught 1 shiny Pokemon with an ultra ball. Shiny Pokemons dissapear immedietly after 39 seconds I think. So I ask this question about catch rate.
Please answer as soon as possible!
Froakie is 20%
Dragonite is 5%
Mewtwo is 2%
Source
There seems to be no reason to believe that being shiny affects these odds.