The logistic differential equation

[klooless]

Where in the logistic equation:

P(t) = K/ 1+Ae^-kt where A= K-P(0)/P(0)

and dP/dt = KP(1-P/K)

Where does the growth rate of the population of 2% come in to play? I am given K=100 (the max limit), and P(0) = 5

Is k equal to 0.02? If not, how do I solve for k??


THANK YOU!!!

 

[Deleted member 4993]

I am having problem - understanding your question - because you are very careless at presenting it.

I'll point out your presentation problem
Where in the logistic equation:

P(t) = K/ 1+Ae^-kt (as written this translates to K + A*e^(-k) * t ? Is this what you wanted write?) where A= K-P(0)/P(0) (This translates to A = K - 1 ? Is this what you wanted write?)

and dP/dt = KP(1-P/K)

What is the relationship between 'k' and 'K'?

Where is the "Malthusian Parameter"?

Where does the growth rate of the population of 2% come in to play? I am given K=100 (the max limit), and P(0) = 5

Is k equal to 0.02? If not, how do I solve for k??


THANK YOU!!!