Logistic growth eventually leads to what steady state?

Logistic growth is characterized by its S-shaped curve, which represents how a population grows in a controlled environment with limited resources. In the initial phases, the population grows exponentially, as resources are abundant. However, as the population size approaches the environment's carrying capacity—the maximum population size that the environment can sustainably support—the growth rate slows down.

Eventually, the population stabilizes at this carrying capacity. This steady state is reached because the birth rate and death rate equilibrate, along with immigration and emigration, resulting in a stable population size. Thus, the population no longer experiences significant growth or decline but remains relatively constant.

This equilibrium is essential in understanding ecological dynamics and resource management, as it indicates the balance that populations must reach to survive without depleting their resources.