Mathematical and numerical comparisons of five single-population growth models

Ronald E. Mickens
2015 Journal of Biological Dynamics  
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
more » ... ovide 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. ARTICLE HISTORY
doi:10.1080/17513758.2015.1112041 pmid:26606947 fatcat:vzza2yh5hzgwdewj3sgjxofynq