A biological growth model using continued fraction of straight lines. Methodological aspects
DOI:
https://doi.org/10.55630/j.biomath.2025.08.055Keywords:
growth model, continued fraction, S-curveAbstract
S-shaped curves are ubiquitous in biology especially when it comes to growth of a population or even an individual. Growth models such as the classical Verhulst-Pearl logistic growth equation and its extensions effectively model such S-shaped growth curves. Most of these models are parametrized by three or more parameters. In this work, continued fraction of straight lines has been applied to model S-shaped curves of biological growth through the use of only two parameters a and m. Here, m is the maximum growth rate and a is the parameter restricting the growth rate. The parameters a and m help to better interpret the data when compared to the logistic growth model since m represents factors promoting growth while a represents restricting factors of growth. This model is effective for modeling both population as well as individual growth, especially around the phase of rapid growth.
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Copyright (c) 2025 I. S. Shruti, S. Vijay Prakash
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