The Student Room Group

Steady state of discrete logistic model

I'm unsure how to find the steady state of a piecewise model.
I know for a steady state N*
N*=F(N*)
Reply 1
Original post by NoahMal
I'm unsure how to find the steady state of a piecewise model.
I know for a steady state N*
N*=F(N*)

If you draw it, it's the intersection of the tent map with y=x, where y is x_(n+1) and x is x_n.
Or do the algebra with x_n = x_(n+1) = x^*
Reply 2
Original post by mqb2766
If you draw it, it's the intersection of the tent map with y=x, where y is x_(n+1) and x is x_n.
Or do the algebra with x_n = x_(n+1) = x^*

This is the tent map I have sketched does it seem right?
Reply 3
Original post by NoahMal
This is the tent map I have sketched does it seem right?

Yes. You may want to think about what happens for different values of mu.

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