The population of deer in a forest, before humans began hunting them, grew accor

Question

The population of deer in a forest, before humans began hunting them, grew according to the logistic population growth equation
dP
dt
= 0.02P - 0.00001 P2
Rewrite this differential equation in the form
dP
dt
= kP(M-P)
to find the value of k and M.

k =
M =

What is the stable equilibrium population of deer in the forest?

Now suppose that the deer begin to be hunted at a rate of h=6.4 deer per year so that the new differential equation now has the form
dP
dt
= kP(M-P) - h
What is the stable equilibrium population of deer in the forest now that they are being hunted?

Explanation / Answer

dP/dt=0.02P-0.00001p^2 let dP/dt=kP(M-P)... so we have the values of k=0.00001 and M=2000.. and at stable equilibrium we dP/dt=0 which means so we have either P=0 or P=M which means P takes 2000 number of deers at equilibrium are 2000

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