Which of the following is related to the logistic growth curve of a population?

Correct option is A

Explanation:
The logistic growth equation describes the growth of a population when resources are limited. The equation is given by:
dN/dt=rN(K−N/K)
Where:
· N: Population size at time t.
· r: Intrinsic growth rate.
· K: Carrying capacity (the maximum population size the environment can support).
· dN/dt​: Rate of change of population size.
Key Points in the Equation:
1. Exponential Growth: When NNN is much smaller than K, K−N/K≈1, leading to exponential growth.
2. Growth Decline: As N approaches K, K−N/K ​ decreases, slowing the growth rate.
3. Carrying Capacity: When N=K, the term K−N/K​ becomes zero, making dN/dt=0, indicating no population growth.
This logistic model demonstrates sigmoidal (S-shaped) growth, typical in natural populations where resource limitations slow growth as the population nears carrying capacity.