What would be the units on this answer Assume that a populat

What would be the units on this answer?

\"Assume that a population of aphids you are studying can be modeled using the continuoustime logistic equation. Also, assume that b=0.30 (births) and d(deaths) = 0.05, and K has been estimated at 45,000 aphids. The birth and death rates were measured on per day basis. Calculate the rate of change of the population when N = 20,019 aphidds. Include units.

equation: dN/dt =(r)(N)(1-(N/k))

Solution

Answer:

In the question, we have been given the following information:

K = 45000,

r = birth rate - death rate = 0.3 - 0.05 = 0.25 (Measured per day)

dN/dt = rN[1-N/K] - this is the logistic growth equation

dN/dt = (0.25)(20,019) [1 - (20,019)/45000)]

dN/dt = 12.5 individuals/day = 5004.75 * (1 - 0.445) = 5004.75 * 0.555 = 2777.63 individuals/day