Answer
Correct Option:
(2) dN/dt = rN((K – N)/K)
Explanation:
The Verhulst-Pearl Logistic Growth Equation models population growth while considering environmental limitations. It is defined as:
dN/dt = rN((K – N)/K)
Where:
- N = Population size
- r = Intrinsic rate of natural increase
- K = Carrying capacity of the environment
- dN/dt = Rate of change in population size
This equation describes logistic growth, where population initially grows exponentially but slows down as it nears the carrying capacity due to limited resources. The regulatory term (K – N)/K ensures the growth decreases and stabilizes as N approaches K.