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SIMIODE EXPO 2021 - B1-R2 - Mark Nelson - Modelling using differential equations: undergraduate projects
21 Feb 2021 | | Contributor(s):: Mark Ian Nelson
SIMIODE EXPO 2021 - B1-R2 - Mark Nelson - Modelling using differential equations: undergraduate projects Mark Nelson, University of Wollongong, Wollongong, New South Wales AUSTRALIA This was a presentation made at the SIMIODE EXPO 2021 - see program. Abstract: The...
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2020-Winkel, Brian - Remote Teaching Module - Modeling a Nonlethal Influenza Epidemic
21 Jun 2020 | | Contributor(s):: Brian Winkel
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling Nonlethal Influenza Epidemic.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...
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6-045-S-CholeraTranmission
19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...
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2001-Smith, David and Lang Moore - The SIR Model for Spread of Disease
02 Apr 2020 | | Contributor(s):: Brian Winkel
Smith, David and Lang Moore. 2001. The SIR Model for Spread of Disease. See https://www.maa.org/press/periodicals/loci/joma/the-sir-model-for-spread-of-disease-introduction .A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab...
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2009-Haran, Murali - An introduction to models for disease dynamics. Presentation
20 Mar 2020 | | Contributor(s):: Brian Winkel
Haran, Murali. 2009. An introduction to models for disease dynamics. Presentation. 68 slides. Opening slides: Useful to model and understand disease dynamics because: Important for basic science as well as public policy. Models for infectious diseases are...
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1-089-S-SpreadOfDisease
15 Aug 2018 | | Contributor(s):: Shinemin Lin
In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.
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2018-Ding, Wandi - Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018 | | Contributor(s):: Wandi Ding
Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year...
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2018-Teague, Dan - Comparing Simulations with Solutions for Classical Differential Equation Models
18 Jan 2018 | | Contributor(s):: Dan Teague
Comparing Simulations with Solutions for Classical Differential Equation ModelsBy Daniel J. Teague, North Carolina School of Science and Mathematics A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year...
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2016-Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright - Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse
28 Nov 2017 | | Contributor(s):: Brian Winkel
Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright. 2016. Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse. Journal of Microbiology & Biology Education. 17(1): 137-142.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4798798/...
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2017-Durojaye, M. O. - Mathematical Model of the Spread and Control of Ebola Virus Disease
28 Nov 2017 | | Contributor(s):: Brian Winkel
Durojaye, M. O. 2017. Mathematical Model of the Spread and Control of Ebola Virus Disease. Applied Mathematics. 7(2): 23-31.See http://article.sapub.org/10.5923.j.am.20170702.02.html .Abstract This paper analyses the transmission dynamics of Ebola Virus Disease using the...
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2016-Manheim, David, Margaret Chamberlin, Osonde A. Osoba, Raffaele Vardavas, Melinda Moore - Improving Decision Support for Infectious Disease Prevention and Control: Aligning Models and Other Tools with Policymakers' Needs.
23 Sep 2017 | | Contributor(s):: Brian Winkel
Manheim, David, Margaret Chamberlin, Osonde A. Osoba, Raffaele Vardavas, Melinda Moore. 2017. Improving Decision Support for Infectious Disease Prevention and Control: Aligning Models and Other Tools with Policymakers’ Needs. Rand Corporation. 51...
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2017-Bullard, Floyd - Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics.
21 Sep 2017 | | Contributor(s):: Brian Winkel
Bullard, Floyd. 2017. Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics. The North Carolina School of Science and Mathematics . 7 pp. See https://www.ncssm.edu/uploads/files/330468432813721056-de-dice-activities.pdf .This...
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2010-Del Ciello, Sarah, Jack Clementi, and Nailah Hart - Modeling Disease
10 Sep 2017 | | Contributor(s):: Brian Winkel
Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...
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1-037-S-CommonColdSpread
30 Nov 2016 | | Contributor(s):: Richard Corban Harwood
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...
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1-024-S-MalariaControl
06 May 2016 | | Contributor(s):: David Culver
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...
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1977-Mackey, Michael C. and Leon Glass - Oscillation and Chaos in Physiological Control Systems
26 Jun 2015 | | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark
Mackey, Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.See https://www.science.org/doi/abs/10.1126/science.267326 .Article Abstract: First-order nonlinear differential-delay equations describing physiological control...
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1-017-S-DiseaseSpread
04 Jun 2015 | | Contributor(s):: Brian Winkel
We offer a physical situation, using a grid and M and M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways) in a differential equation model for the spread of the disease. Students ...