Ok Iv been trying to plot this for a while now and im having some major problems.
Firstly I found the Verhulst logistic equation to be:
Now if i let
Then we get
If i solve this i get:
Now if i use K=1000 Lambda = 2 and N(0)=100 i can solve to find A
However if i try and plot x=(1000/9)/(e^−λt)+1/9 in my graph plotter
I get the graph
when i am expecting a S shaped curve from the logistic equation.
Could someone please tell me what i have done wrong.