
1139SPlantsVsHerbivores
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,...

1137SSheepGraze
03 Mar 2021   Contributor(s):: Mary Vanderschoot
One of the most wellknown mathematical models in ecology is the LotkaVolterra predatorprey 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...

6026SIsleRoyaleModeling
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...

2018McCarthy, 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, TwoYear College, FourYear Institution at...

2017Cooper, 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...

2007Chern, ILiang  Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017   Contributor(s):: Brian Winkel
Chern, ILiang. 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...