I want to show, in a talk, how to build the Predator-Prey (Lotka Volterra) model. It starts off with the "Population Law of Mass Action" i.e. "At time t the rate of change of one population due to interaction with another is proportional to the product of the two populations at that time t"(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Notation Question (Differential Equations)

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