Hysteresivity is a big word that describes how much something remembers what happened to it before. Think of a puppy who loves to play fetch. When you throw the ball, the puppy runs to get it and bring it back to you. This is like how something reacts when it is first affected by something else. But, if you throw the ball again in the same spot, the puppy might remember that there is a ball there and go get it without you telling him to. This is like hysteresivity - it remembers what happened before and reacts differently.
In science, hysteresivity is used to describe how much something takes to go back to its original state after it has been affected by something else. Imagine you have a toy block that is really soft and squishy. When you squeeze it, it becomes flat. Then, when you let go, it slowly goes back to being its original shape. But, if you squeeze it again, it might not go back to its original shape as easily. This is hysteresivity. The block remembers that it was squeezed before and it takes more effort to get it back to its original shape.
So basically, hysteresivity is like a memory of what happened before that affects how something reacts in the future. It can make things behave differently depending on what happened to them in the past.