08 Mar 2021 | | Contributor(s):: Mary Vanderschoot
In a recent study of plants and herbivores on an island in the North Sea, ecologists made a surprising observation: Instead of more vegetation resulting in more grazers, more vegetation resulted in fewer grazers. Consequently, the ecologists hypothesized that, as the vegetation grew more dense,...
03 Mar 2021 | | Contributor(s):: Mary Vanderschoot
One of the most well-known mathematical models in ecology is the Lotka-Volterra predator-prey system of differential equations. Initially, this model was used to analyze interactions between two animal populations. But ecologists discovered that it could also be applied to plant (`prey') and...
20 May 2018 | | Contributor(s):: Steven Morse, Brian Allen, Stanley F Florkowski
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle. This setting allows us to also employ multivariable optimization as a means of model fitting and multivariable integration in the context of...
2018-McCarthy, Chris - Modeling with Differential Equations: Student Projects and Research Opportunities
19 Jan 2018 | | Contributor(s):: Chris McCarthy
Modeling with Differential Equations: Student Projects and Research Opportunities By Chris McCarthy, Borough of Manhattan Community CollegeA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at...
2017-Cooper, Kevin - IDEA - Internet Differential Equations Activities
08 Nov 2017 | | Contributor(s):: Brian Winkel
Cooper, Kevin. IDEA - Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of IDEA - Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...
2007-Chern, I-Liang - Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017 | | Contributor(s):: Brian Winkel
Chern, I-Liang. 2007. Mathematical Modeling and Differential Equations. Notes. 223 pp.See http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real world by observations, collecting...