Abstract

Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 1-017-DiseaseSpread-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/8BJF-X459

  BibTex | EndNote

Article Context

Resource Type

• Modeling Scenario

Differential Equation Type

• ODE
• First
• Nonlinear
• Homogeneous

Technique

• Initial Value Problems
• Parameter Estimation

Qualitative Analysis

• Parameters

Application Area

• Life Sciences

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Introductory
• Upper Level
• High School

Lesson Length

• One class period

Technology

• Excel
• Mathematica

Approach

• Guided

Skills

• Data collection
• Data analysis

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses
• Designing/conducting experiments
• Predicting outcomes
• Gathering data/making observations
• Analyzing data
• Interpreting results/data
• Displaying/modeling results/data
• Communicating results

Assessment Type

• Homework
• Written assignment: Report

Pedagogical Approaches

• Guided inquiry/investigation

Bloom's Cognitive Level

• Application & Analysis

Description

Students produce the standard logistic equation when trying to model the interaction between those who have the disease and those who do not.

Reasoned assumptions need to be articulated by students.

Article Files

• 1-017-S-DiseaseSpread-StudentVersion.pdf(PDF | 686 KB)
• 1-017-S-DiseaseSpread-StudentVersion.TEX(TEX | 32 KB)
• 1-017-T-DiseaseSpread-TeacherVersion.pdf (Instructors only)(PDF | 687 KB)
• 1-017-T-DiseaseSpread-TeacherVersion.TEX (Instructors only)(TEX | 32 KB)
• 1-017-T-Mma-DiseaseSpread-TeacherVersion.nb (Instructors only)(NB | 2 MB)
• 1-017-T-Mma-DiseaseSpread-TeacherVersion.pdf (Instructors only)(PDF | 1 MB)
• 1-17-MMCount.eps(EPS | 77 KB)
• 1-17-MMLayout.pdf(PDF | 79 KB)
• 1-17-ModelingTwoExp1MMDataCollection.eps(EPS | 470 KB)
• 1-17-ModelingTwoLogDataGenPlot.eps(EPS | 93 KB)
• 1-17-ModelingTwoMMGridForLogisticGrowth.eps(EPS | 50 KB)
• 1-17-S-DiseaseSpread-StudentVersion-MMSimulationImages.pdf(PDF | 16 MB)
• DiseasePic.jpg(JPG | 116 KB)
• DiseaseSpreadPic.jpg(JPG | 41 KB)
• Experiment2-DiseaseSpread - Analysis.xlsx(XLSX | 23 KB)
• MMGridToUseForSimulations.pdf(PDF | 82 KB)
• SampleOakTagTray.pdf(PDF | 214 KB)
• SampleOakTagTray.pptx(PPTX | 3 MB)
• SIMIODE.cls(CLS | 7 KB)
• SimiodeLogo.jpg(JPG | 271 KB)
• License terms

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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