Yes, in mathematics both curves are said to be "asymptotic" because they both tend to approach a value (limit) as the other variable tends to infinity.
In financial analysis I think they use the term "parabolic" is used to indicate a pattern in a chart with asymptotic behaviour.
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Indeed, and we call it a Hockey Stick ... When talking about Systemic sustainability such as world population, this is an indication that the system is about to crash. "Any system that cannot sustain itself is destined to fail."