Exponential Growth Model: From Horizontal to Linear Asymptote
François Dubeau, Youness Mir
Abstract
François Dubeau, Youness Mir
Abstract
We present a smooth function that can be used as regression curve for modeling growth phenomena requiring an increasing curvilinear concave asymptote. This model is obtained as the product of a concave asymptotic curve and the exponential model. In addition to its increasing character with a curvilinear asymptote, including horizontal or linear increasing asymptote, the resulting model provides curves with a single inflection point. Numerical examples are presented.
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We present a smooth function that can be used as regression curve for modeling growth phenomena requiring an increasing curvilinear concave asymptote. This model is obtained as the product of a concave asymptotic curve and the exponential model. In addition to its increasing character with a curvilinear asymptote, including horizontal or linear increasing asymptote, the resulting model provides curves with a single inflection point. Numerical examples are presented.
Key concepts: Asymptote, Curvilinear coordinates, Inflection point, Exponential function, Mathematics, Function (biology), Exponential growth, Mathematical analysis