Fish movement

[3dboris]

Hello, I really need your help, I have an object in the form of a fish, the fish follow the target. How to make the fish's body bend while turning?
I understand that I can animate the body of a fish, that is, make the movement of the tail and fins. Well, how can I make its body automatically bend when turning behind the target.
Thank you very much!
Best regards, Boris.