Key difference between a logistics growth model and an exponential growth model?

Exponential growth model is one that exists when the the rate of growth is proportional to the existing amount. For this, a population need ideal condiitons: bactiria in a petrie dish, radioative decay or compound interest in a saving amount.

The logistics is a different kind of behavior which is more realistic to populatin not in ideal conditions: the rate of growth is proportinal to the amount but there is also a damping facotr due to compitition and limited resourses. This model works that at first the rate of growth getting faster then it slows down since there are too many individual compiting on limited space. When this population reaches its equilibrium state, the rate of grwth is zero and if there will be no interaptions, the size of the population will stay constant.

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