Hey there! This is the difference between a joystick and a mouse:
A mouse is moved back and forth and up and down by a person's hand. The mouse device moves across the table surface. A joystick on the other hand stays stationary and is basically composed of a base and a stick. A vertical stick is held in the hand and tilted forward backward left and right. But the only thing that moves with a joystick is the center stick.
I hope this helps you out! Let me know if you have any questions!