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9-005-InvasiveSpeciesModel-ModelingScenario

Author(s): Eric Stachura

Kennesaw State University

Keywords: Invasive Species logistic migration traveling waves dispersion

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Abstract

Resource Image This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.

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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
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Your goal in this project is to develop a partial differential equation (PDE) model that governs a population (of birds, fish, insects, etc.) that disperses as it migrates. In doing so, you will explore the following:

 

  • the effects of various nonlinear terms on solutions of PDE models; 
  • the effects of varying initial population profiles;
  • the effects of varying diffusion coefficients; and
  • Fundamental solutions of differential equations.

Article Files

Authors

Author(s): Eric Stachura

Kennesaw State University

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