- #1

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Is it an abuse of notation to write this (for populations x (predator) and y(the prey)) as:

##\frac{dx}{dt} \propto xy ##

##\frac{dy}{dt} \propto xy ##

I think it's ok, I've just never seen this written for a differential equation.

The next step would be to write:

##\frac{dx}{dt} = axy ##

##\frac{dy}{dt} = bxy ##

For some a and b, then start showing what happens when x starts eating y.

-Dave K