Mathematical and numerical comparisons of five single-population growth models

作者：Mickens Ronald E^*

来源：Journal of Biological Dynamics, 2016, 10(1): 95-103.

DOI：10.1080/17513758.2015.1112041

• Single-population models
• population dynamics
• time scales
• two parameter systems
• comparison analysis

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.

• 出版日期2016-1-1