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6-004-VillageEpidemic-ModelingScenario

Author(s): Brian Winkel

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

Keywords: SIR models epidemic susceptible infective removed Eyam English village

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Abstract

Resource Image Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they are to build a mathematical model.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

In the mid seventeenth century in a small village in England a form of the Plague spread from 3 July through 20 October in one year. We note three classes of individuals: Susceptible, Infective, and Removed. The latter group consists of those who have died from the disease or who developed an immunity from the disease, having already had the disease.

Students are to build a mathematical model of differential or difference equations and estimate the parameters to validate their model.

Article Files

Authors

Author(s): Brian Winkel

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

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