Let a logistic curve be given by
dP/dt = 0.02*P*(50-P)
with the initial condition
P(0)=5
This is an IVP (“initial value problemâ€) for the population Pversus time t.
Report the following numbers in the given order (use twodigits):
- The growth coefficient k=?
- The carrying capacity M=?
- The population level when the growth just starts to slow down(“the inflection point†population level) PIP=?
- The time when the population just starts to slow downtIP=?
- The population level when t=5: P(5)=?
- The long-term approximation for the population level limit P(t)as t-> infinity.
