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Consider a dynamical system

(1)..........

(2)..........

with the state variables and . Assume that is fast and is slow. Assume that the system (1) gives, for any fixed , an asymptotically stable solution . Substituting this for in (2) yields

(3)..........

Here has been replaced by to indicate that the solution to (3) differs from the solution for obtainable from the system (1), (2).

The Moving Equilibrium Theorem suggested by Lotka

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