Metadata
Science Graduate Analyze Medium-
Subject
Science
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Education level
Graduate
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Cognitive goals
Analyze
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Difficulty estimate
Medium
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Tags
predator-prey, Allee effect, bifurcation, steady states, stability, dynamical systems
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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Prompt
[Assess students' ability to analyze equilibria and bifurcations in predator–prey models with an Allee effect on the prey. Tasks: derive steady states, nondimensionalize, linearize using the Jacobian, compute eigenvalues and local stability, identify and classify saddle-node/transcritical/Hopf bifurcations as parameters (e.g., predation rate, Allee threshold) vary, sketch phase portraits and bifurcation diagrams, perform brief numerical continuation, and interpret ecological consequences for persistence, bistability, and extinction.]
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.