It is not possible for any species to undergo exponential growth forever. There is only a finite amount of resources in terms of living space, food, air to breathe, water to drink, and so forth, and therefore a constantly growing species will eventually get to the point at which it runs out of resources. Typically this results in mass starvation and shrinkage of the overgrown species.
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exponential
Any time the RATE of increase is greater than one. For example : if a population were to double (note that 2 is greater than 1) each generation then it is referred to as exponential growth. Note also that there are now 7 billion people on Earth - exponential growth. What is "needed" for this kind of growth is an unlimited environment, since it does not exist in the real universe, exponential growth ALWAYS crashes.
In order to have exponential growth there must be sufficient resources to thrive. The problem with exponential growth is that since the world is finite at some point there will be overpopulation.
Exponential growth is when a population grows faster and faster and there is a population in explosion. This is unsustainable. The population will deplete and many will die. In Logistical growth the number of organisms are pretty much remained at a constant number of individuals.
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