05 Mar 2022 | | Contributor(s):: Bill Skerbitz
Students are led step by step through the development of introductory ideas in mathematical modeling with differential equations. They will encounter the fundamental ideas underlying unlimited population growth (exponential models), limited population growth (logistic models), and a coupled...
2020-Harwood, Corban - Remote Teaching Module: Introduction to Modeling
28 Jul 2020 | | Contributor(s):: Corban Harwood
We place here and in the Supporting Documents all the materials in support of the SIMIODE Remote Teaching Module.Introduction to ModelingThis Remote Teaching Module introduces modeling with first order differential equations and motivates students to fully engage in the solution and...
31 Aug 2019 | | Contributor(s):: Bill Skerbitz
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...
17 Feb 2019 | | Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...
2010-Panfilov, Alexander - Notes-Qualitative Analysis of Differential Equations
22 Jun 2015 | | Contributor(s):: Alexander Panfilov
Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. 116 pp. http://www-binf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations,...
2006-Graves, Wendy Gruner; Bruce B. Peckham; and John Pastor - A 2D differential equations model for mutualism
20 Jun 2015 | | Contributor(s):: Wendy Graves, Bruce Peckham, John Pastor
Wendy Gruner Graves, Rainy River Community College, Bruce B. Peckham, Department of Mathematics and Statistics University of Minnesota Duluth, John Pastor, Department of Biology, University of Minnesota Duluth and NRRI, University of Minnesota. 2006. A 2D differential equations model...