Sigmoid growth curve is represented by

• (a) dN/dt = rN
• (b) dN/dt = rN(1 - n/k)
• (c) Nt = N₀ + B + I - D - E
• (d) dN/dt = 1 - N/K

The sigmoid growth curve is a model that describes how populations grow in a limited environment. It starts with a rapid increase, slows down as resources become scarce, and eventually levels off at a maximum capacity.

Correct Representation

The correct mathematical representation of a sigmoid growth curve is:

• (b) dN/dt = rN(1 - N/K)

Explanation of the Formula

In this equation:

• dN/dt represents the rate of change of the population over time.
• r is the intrinsic growth rate.
• N is the current population size.
• K is the carrying capacity of the environment.

This formula shows how the growth rate decreases as the population approaches the carrying capacity, illustrating the characteristic S-shape of the sigmoid curve.