A) dt/dN = rN
B) dN/rN = dt
C) rN/dN = dt
D) dN/dt = Rn
Correct Answer: D
Solution :
In J-shaped form of population growth, the density increases in an exponential manner and then a crash occurs or the increase stops abruptly as environmental resistance becomes effective. This is mathematically described by an equation of exponential or geometric increase, which is as follows: \[\frac{dN}{dt}=rN\] where, d = rate of change t = time N = number of females at a particular time r = biotic potential of each female (N can also be considered as die total population and r as the biotic potential of each individual).
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