Mathematical and Numerical Comparisons of Five Single-Population Growth Models

Collection:
Clark Atlanta University Faculty Publications
Title:
Mathematical and Numerical Comparisons of Five Single-Population Growth Models
Creator:
Mickens, Ronald E.
Date of Original:
2016-01-01
Subject:
African Americans--Education (Higher)--Georgia
Clark Atlanta University
Location:
United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
Medium:
articles
Type:
Text
Format:
application/pdf
Description:
We investigate the properties of five mathematical models used to represent the growth of a single population. By imposing a common set of (normalizing) initial conditions, we are able to calculate and explicitly compare the time intervals required to reach specific values of population levels. Based on these results, we conclude that one must be careful when applying these models to interpret the dynamics of single-population growth. An additional implication is that they provide evidence that such caution should also be extended to the incorporation of these models into the formulation of interacting, multi-population models, which are used, for example, to study the spread of disease.
Metadata URL:
http://hdl.handle.net/20.500.12322/cau.ir:2016_mickens_jbd
Original Collection:
Journal of Biological Dynamics
Holding Institution:
Atlanta University Center Robert W. Woodruff Library
Rights:
Rights Statement information

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