Bounded growth occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate. Asymptotically, bounded growth approaches a fixed value. This contrasts with
exponential growth
Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself. Described as a function, a ...
, which is constantly increasing at an accelerating rate, and therefore approaches infinity in the limit.
An example of bounded growth is the
logistic function.
References
Sources
* Kuhn, Moscibroda, and Wattenhofer, "On the Locality of Bounded Growth", ACM Symposium on Principles of Distributed Computing (PODC), July 17–20, 2005.
Mathematical modeling
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