A form of population growth in which the rate of growth is related to the number of individuals present. Increase is slow when numbers are low but rises sharply as numbers increase. If population number is plotted against time on a graph a characteristic J-shaped curve results (see graph). In animal and plant populations, such factors as overcrowding, lack of nutrients, and disease limit population increase beyond a certain point and the J-shaped exponential curve tails off giving an S-shaped (sigmoid) curve.
occurs when the growth rate of a mathematical function is proportional to the function's current value.
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A population experiencing exponential growth will eventually reach its carrying capacity, which is the maximum population size that the environment can support. Once the carrying capacity is reached, the population growth rate will stabilize and either remain at that level or fluctuate around it as the resources become limited.
In a given period of time it will double in size/number. Like in the film gremlins. If they increase every minute and you start with 1 gremlin, then after a minute you would have 2, then 4, then 8 etc.
Mathematically, it just keeps getting bigger. In the real world, there are limits, such as amount of food, land, air, etc. that prevents a population from growing without bounds.
The population levels off at the carrying capacity.
When limiting factors are not ideal, the population may face increased competition for resources, reduced reproductive rates, lower survival rates, and ultimately decline in numbers. This can lead to stress, decrease in genetic diversity, and potential extinction if the conditions persist.
The population continues to grow.
Under ideal conditions, population increases.
rarely