
6067SLotkaVolterra
07 Aug 2021   Contributor(s):: Iordanka Panayotova, Maila Hallare
This modeling scenario guides students through the process of fitting the LotkaVolterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio, an integrated development environment for R, and the gauseR package, a collection...

Nov 03 2020
COMAP's High School Mathematical Contest in Modeling (HiMCM)
COMAP's High School Mathematical Contest in Modeling (HiMCM)November 4 – 17, 2020COMAP's High School Mathematical Contest in Modeling (HiMCM) is an international contest...
https://www.simiode.org/events/details/86

6026SFakingGause
30 Oct 2020   Contributor(s):: Brian Winkel
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competiton in the 1930's studies of G.~F.~Gause in the Soviet Union.

2004Hsu, SzeBi  Mathematical Modelling In Biological Science. Class notes
02 Apr 2020   Contributor(s):: Brian Winkel
Hsu, SzeBi. 2014. Mathematical Modelling In Biological Science. Department of Mathematics,TsingHua University TAIWAN. Class Notes. 67 pages.Table of ContentsIntroduction 1 Continuous population model for single species 11.1 Logistic equation...

3087SThanosPopulationDynamicsInteractingSpecies
06 Dec 2019   Contributor(s):: Blain Patterson, Sarah Elizabeth Ritchey Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

SCUDEM Participants Increase SelfEfficacy in Mathematical Modeling
13 Jul 2019 
Posted by Brian Winkel
In a just published article, "Building mathematics selfefficacy of STEM undergraduates through mathematical modelling," in the International Journal of Mathematical Education in Science...
https://www.simiode.org/blog/2019/07/scudemparticipantsincreaseselfefficacyinmathematicalmodeling

SCUDEM and COMAP MCM/ICM Talk at University of Nebraska  Lincoln
22 Apr 2019   Contributor(s):: Elizabeth Anne Carlson
Elizabeth Carlson, holder of NSF Graduate Research Fellowship at the University of Nebraska  Lincoln, Lincoln NE USA, gave a talk in the spring 2018 to the mathematics club at her school on Math Modeling Competitions. Enjoy!

2019Winkel, Brian  SCUDEM for Students and Faculty Presentation
20 Jan 2019   Contributor(s):: Brian Winkel
These are the slides for the talk by Dr. Brian Winkel, Director SIMIODE, entitled "Student Competition Using Differential Equations Modeling: SCUDEM for Students and Faculty," given Thursday, 17 January 2019 at the Joint Mathematics Meetings in Baltimore MD USA.

Jan 17 2019
Introducing Mathematical Modeling through Competitions,
MAA Contributed Paper Session on Introducing Mathematical Modeling through Competitions, II Room 304, BCC, Thursday, 17 January 2019, 9:00 AM  11:15 AMOrganizers: Chris Arney, United...
https://www.simiode.org/events/details/55

2009Cline, Kelly  Secrets of the Mathematical Contest in Modeling
13 Nov 2018   Contributor(s):: Kelly Cline
Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr. Cline gives many practical hints and "secrets," all based on thoughtful reflection from his...

Apr 12 2018
SCUDEM 2018 SCUDEM  Student Competition Using Differential Equations Modeling
SIMIODE is sponsoring a student competition.SCUDEM  Student Competition Using Differential Equations Modeling. Event begins 13 April 2018. Competition Saturday at local sites is 21 April 2018. See...
https://www.simiode.org/events/details/50

2018Schneebeli, Hans Rudolf and Claudio Marsan  Two competing populations: simulations with differential equations
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the...

2002Dietz, Klaus and J.A.P. Heesterbeek  Daniel Bernoulli's epidemiological model revisited.
26 Nov 2017   Contributor(s):: Brian Winkel
Dietz, Klaus and J.A.P. Heesterbeek. 2002. Daniel Bernoulli’s epidemiological model revisited. Mathematical Biosciences. 180: 1–21.See http://www.medicine.mcgill.ca/epidemiology/hanley/bios601/competingRisks/DanielBernoulli.pdf .Abstract: The...

Students Speak About Their Experiences in Modeling competition with Differential Equations
10 Nov 2017 
Posted by Brian Winkel
For our shortest blog ever we simply point you to the video featuring students at SCUDEM 2017.
While there are professors professing and narrating in the video, it is the students who steal...
https://www.simiode.org/blog/2017/11/studentsspeakabouttheirexperiencesinmodelingcompetitionwithdifferentialequations

2006Loyd, Alun L. and Dominik Wodarz  Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study.
18 Sep 2017   Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread...

2016deBoer, Rob J.  Population Dynamics: A Graphical Approach  Text
06 Sep 2017   Contributor(s):: Brian Winkel
deBoer, Rob J. 2016 .Modeling Population Dynamics: A Graphical Approach. http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

2014De Ross, Andre M.  Modeling Population Dynamics  Text
05 Sep 2017   Contributor(s):: Brian Winkel
De Ross, Andre M. 2014. Modeling Population Dynamics. OnLine text. 222 pp.https://staff.fnwi.uva.nl/a.m.deroos/downloads/pdf_readers/syllabus.pdf . Accessed 4 September 2017From the Introduction to the text, “This course is intended as an introduction to the formulation,...

2009Howard, Peter  Modeling With ODE
02 Sep 2017   Contributor(s):: Brian Winkel
Howard, Peter. 2009. Modeling With ODE. Class Notes. Texas A&M University. 26 pp.http://www.math.tamu.edu/~phoward/m442/modode.pdfKeywords: differential equation, model, reaction, chemistry, carbon dating, rates, mechanics, competition, epidemic, population, pendulum, planetary...

6040SStruggleForExistence
23 Nov 2016   Contributor(s):: Brian Winkel
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.

2006Graves, 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...