- #1
Dustinsfl
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So the book is showing an example about discrete steady states but neglected to show how the steady states were found. Here is what it has
$u_{t+1}=ru_{t}(1-u_t), \quad r>0$
where we assume $0<r<1$ and we are interested in solutions $u_t>0$
Then it list the steady states
$u^*=0, \quad \lambda=f'(0)=r$
$u^*=\dfrac{r-1}{r}, \quad \lambda=f'(u^*)=2-r$
How did they find those?
I don't understand how to find thee steady states for the discrete models.
$u_{t+1}=ru_{t}(1-u_t), \quad r>0$
where we assume $0<r<1$ and we are interested in solutions $u_t>0$
Then it list the steady states
$u^*=0, \quad \lambda=f'(0)=r$
$u^*=\dfrac{r-1}{r}, \quad \lambda=f'(u^*)=2-r$
How did they find those?
I don't understand how to find thee steady states for the discrete models.
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