20 Sep 2020 | | Contributor(s):: Rob Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
09 Jun 2018 | | Contributor(s):: Ryan Miller, Randy Boucher
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...
Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations
10 Sep 2017 | | Contributor(s):: Brian Winkel
Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...
Sustainability in a differential equations course: a case study of Easter Island
01 Mar 2017 | | Contributor(s):: Brian Winkel
Koss, Lorelei. 2011. Sustainability in a differential equations course: a case study of Easter Island. International Journal of Mathematical Education in Science and Technology. 42(4): 545-553.Article Abstract: Easter Island is a fascinating example of resource depletion and population collapse,...
24 Jan 2016 | | Contributor(s):: Rachel Bayless, Nathan Pennington
This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...
1999-MeyerAusubel-Carrying Capacity: Logistically Varying Limits
25 Jun 2015 | | Contributor(s):: Jesse H. Ausubel, Perrin S. Meyer
Meyer, Perrin S. and Jesse H. Ausubel. 1999. Carrying Capacity: A Model with Logistically Varying Limits. Technological Forecasting and Social Change. 61(3): 209-214.This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This...