Mathematical and Numerical Comparisons of Five Single-Population Growth Models

Mickens, Ronald, Clark Atlanta University

2016-01-01

2010-2019

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.

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Journal of Biological Dynamics

Clark Atlanta University

10.1080/17513758.2015.1112041

http://hdl.handle.net/20.500.12322/cau.ir:2016_mickens_jbd

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