What model is appropraite for predicting total exponentially decaying data?

I'm trying to predict market share for a given brand/product given the price differential from the cheapest competitor. As the price differential increases, the amount of market share lost decreases (logically this is because you are left with brand loyalists for example).

The relationship looks like [this](https://www.aplustopper.com/wp-content/uploads/2020/12/Exponential-Growth-and-Decay-4.png)

I've used decision trees and random forests, and I'm familiar with linear regression, but I don't know if they're suitable for this. I've read that random forests aren't good if you want to …

brand data datascience decision decision trees differential example lost market share price product random random forests trees