2021 Undergraduate Research Showcase

Document Type

Student Presentation

Presentation Date


Faculty Sponsor

Trevor Caughlin


Parameters are of significant importance when using non-linearized models. A small shift in one parameter could change an accurate model to an inaccurate one. But to what extent can these parameters change and not affect the accuracy of the model? This question can be answered by setting a specific value in the model to reach and then output the time it took each model to arrive at that value holding all else equal. In these simulations the value used was K/2, which is the half the max population. The initial population and growth rate were the two parameters that were altered over the different simulations of the model. The models had to analytically be solved for time in order to generate the correct output. After running these simulations the relationships the parameters have to the time it takes to reach K/2 is shown. The Gompertz model has steeper contour lines, and seemed to depend less on the initial population and more on the growth rate, whereas the logarithmic model seemed to have a more balanced dependence on both parameters.



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.