A piecewise model for two-phase growth phenomena

Abstract

In this paper, we introduce a nonlinear model which can be used as a regression model for modeling phenomena requiring a two-phase growth curves. The proposed model is defined as a continuous piecewise combination of two exponential functions with an unknown break point. Numerical results on real and simulated data sets are presented to illustrate the applicability and the utility of the proposed model on growth data.

KEYWORDS:

• Multiphasic growth models
• Exponential model
• Carrying capacity

AMS SUBJECT CLASSIFICATION:

• 26A48
• 65D10
• 62J02