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1-135-FishHarvesting-ModelingScenario

Author(s): Jennifer Crodelle

Middlebury College, Middlebury VT USA

Keywords: population dynamics fish stability bifurcation harvest

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Abstract

Resource Image This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the rate of harvesting fish.

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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

This modeling scenario introduces the idea of a bifurcation, or a qualitative change in dynamics, through a fish harvesting model. Many differential equations have a bifurcation point, or a parameter value for which the differential equation exhibits a qualitative change in dynamics. This can be a change in the stability of an equilibrium solution or the number of equilibrium solutions. We will learn how to study bifurcations using a population model.

Article Files

Authors

Author(s): Jennifer Crodelle

Middlebury College, Middlebury VT USA

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