Q$1$

Simulate the difference equation

$P(t)=P(t-1)-\frac{P^2(t-1)}{1+P(t-1)}=\frac{P(t-1)}{1+P(t-1)}$

Initial values: $P[0]=10,P[1]=40.$

$2.$ What are the values of $P[10],P[15],P[20]$

$3.$ What is the convergence value?