Equilibrium Points for Discrete Population Model

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Homework Statement


The population of a species is governed by the discrete model

Nt= f(Nt) = Nt exp[r(1-Nt/K)] where r and K are constants.



Homework Equations



Determine the steady states

The Attempt at a Solution

 
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Nt+1= f(Nt) = Nt exp[r(1-Nt/K)] where r and K are constants, presumably.

Yes, I would presume r and K are constants.

Do you know what a "steady state" means? That gives you the first step.