A) \[dN=rN-\frac{N}{K}\]
B) \[\frac{dN}{dt}=rN-\frac{N}{K}\]
C) \[\frac{dN}{dt}=rN-\frac{1}{K}\]
D) \[\frac{dN}{dt}=rN\,\,\left( 1-\frac{N}{K} \right)\]
Correct Answer: C
Solution :
The correct equation is \[\frac{dN}{dt}=rN\,\,\left( 1-\frac{N}{K} \right)\]where, r = Intrinsic rate of increase of biotic potential N = Number of individuals in the population t = time d = conventional mathematical symbol for instantaneous change K = carrying capacity
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