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Question

Carrying capacity for a population is estimated at 500 the population size is currently 400 and max=0.01. What is dN/dt?

A
0.01
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B
0.8
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C
8
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D
50
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Solution

The correct option is B 0.8
The logistic population growth model is represented by :
dN/dt = rN (K-N/ K)
Here, N = Population density at time t = 400
r = Intrinsic rate of natural increase = 0.01
K = Carrying capacity = 500
So, dN/dt can be given by,
dN/ dt = 0.01 × 400 × (100/500)
dN/ dt = 0.8
So, the correct option is '0.8'

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