I'm trying to model a predator-prey interaction scenario given 100 years worth of data. I have no idea what the constants are and have been told to guess until I get a solution that is approximately correct, however this is proving fruitless and I'm sure there is an easier way to do it, I'm guessing with curve fitting. I've searched but haven't found anything yet.
Has anyone any suggestions on software using to solve unknown constants in differential equations given a dataset? (Preferably linux compatible). Failing that, any better suggestions as to how to find the constants.