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1-089-SpreadOfDisease-ModelingScenario

Author(s): Shinemin Lin

Savannah State University, Savannah GA USA

Keywords: SIR model Proportion derivative difference quotient Sleeping Beauty contagious disease

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Abstract

Resource Image In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation models.

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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

Key is the fact that the derivative of a function is the limit of difference quotient, of the function.  If we choose h small enough, we can approximate the derivative by a difference quotient and this can be used in a differential equation.

Spread of a Disease project can be used not only to model the spread of a disease, but it can also simulate the spread of a rumor.  This Sleeping Beauty project can connect classroom mathematics and real-world applications.  It is a modified SIR model.   It can also model disease control. 

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Authors

Author(s): Shinemin Lin

Savannah State University, Savannah GA USA

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