Suppose that a population develops according to the logistic equation
dp/dt = 0.03 p - 0.006 p^2
where t is measured in weeks.
-What is the carrying capacity and the value of k?
dp/dt = kP ( 1 - (p/K)) where K is the carrying capacity
The Attempt at a Solution
Well i thought that in order to solve this i need to get the differenctial expression give in the question to resemble that of the logistic equation so i can get the values. so far my attempts have failed...so i dont know if THAT is wat i am actually supposed to do.
I rearranged the equation and i got:
dp/dt = P^2 ( (o.o3/P) - 0.oo6)
= 0.006 P^2 ( (5/P) - 1)
= -0.006 P^2 ( 1- (5/P))
that is the farthest I went so far i dont really know wat to do next or whether or not I am understanding this question correctly. Any help would be greatly appreciated