Abstract

Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.

Citation

Researchers should cite this work as follows:

• Ding, W. (2022). 1-070-FisheryHarvest-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/1TDC-FN92

  BibTex | EndNote

Article Context

Resource Type

• Modeling Scenario

Differential Equation Type

• ODE
• PDE
• Difference
• First
• Nonlinear
• Homogeneous

Technique

• Initial Value Problems

Qualitative Analysis

• Graphical analysis
• Parameters

Application Area

• Life Sciences
• Modeling (general)

Course

• Differential Equations
• Modeling

Course Level

• Introductory
• Upper Level
• High School

Lesson Length

• One class period

Technology

• Other

Approach

• Guided

Skills

• Data analysis

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses
• Analyzing data
• Interpreting results/data
• Communicating results

Assessment Type

• Homework
• Written assignment: Report

Pedagogical Approaches

• Guided inquiry/investigation

Vision and Change Core Competencies - Ability

• Create and develop models
• Use quantitative reasoning

Principles of How People Learn

• Motivates student to learn material
• Focuses student on the material to be learned

Bloom's Cognitive Level

• Application & Analysis

Description

The logistic differential equation is often used to model the spread of disease as well as population growth. Can we use it to model sustainable harvesting of natural resources?

Article Files

• 1-070-S-FisheryHarvest-StudentVersion.pdf(PDF | 498 KB)
• 1-070-S-FisheryHarvest-StudentVersion.tex(TEX | 17 KB)
• 1-070-T-FisheryHarvest-TeacherVersion.pdf (Instructors only)(PDF | 499 KB)
• 1-070-T-FisheryHarvest-TeacherVersion.tex (Instructors only)(TEX | 17 KB)
• 1-70-FisheryHarvestFigure.eps(EPS | 279 KB)
• FishHarvestPic.jpg(JPG | 11 KB)
• SIMIODE.cls(CLS | 7 KB)
• SimiodeLogo.jpg(JPG | 271 KB)
• License terms

Authors

Author(s): Wandi Ding

Middle Tennessee State University, Murfreesboro TN USA

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