Abstract

In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?

Citation

Researchers should cite this work as follows:

• Blain Patterson, Patterson, S. (2022). 1-087-ThanosPopulationDynamics-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/DFSS-5A91

  BibTex | EndNote

Article Context

Resource Type

• Modeling Scenario

Differential Equation Type

• ODE
• First
• Linear
• Nonlinear
• Homogeneous

Technique

• Initial Value Problems
• Separable
• Separation of Variables

Qualitative Analysis

• Equilibrium
• Phase Plane

Application Area

• Life Sciences
• Social Sciences

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Introductory
• Upper Level
• High School

Lesson Length

• Portion of one class period

Technology

• Other

Approach

• Guided

Skills

• Data analysis

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses

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

Investigate the validity of Thanos' claim by modeling various population dynamics such as unconstrained and constrained growth.

Article Files

• 1-087-S-ThanosPopulationDynamics-StudentVersion.docx(DOCX | 201 KB)
• 1-087-S-ThanosPopulationDynamics-StudentVersion.pdf(PDF | 169 KB)
• 1-087-T-ThanosPopulationDynamics-TeacherVersion.docx (Instructors only)(DOCX | 553 KB)
• 1-087-T-ThanosPopulationDynamics-TeacherVersion.pdf (Instructors only)(PDF | 311 KB)
• ThanosPic.jpg(JPG | 11 KB)
• License terms

Authors

Author(s): Blain Patterson, Sarah Patterson

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