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Q.
Which of the following equations correctly represents the exponential population growth curve ?
Organisms and Populations
Solution:
If any species is flourishing under unlimited resources, it would reach exponential growth which can be depicted by equation :
$\frac{dN}{dt}=N$
Where, $N =$ population density at time $t; r =$ intrinsic rate of natural increase.
If we derive the integral form of the exponential growth equation, it can be written as
$N_t=N_0e^{rt}$
Where $N_t =$ population density after time $t$; $N_0 =$ population density at time zero; $r =$ intrinsic rate of natural increase; $e$ is the base of natural logarithm.