Metadata
Science Graduate Analyze Medium
Metadata
  • Subject

    Science

  • Education level

    Graduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    predator-prey, Allee effect, bifurcation, steady states, stability, dynamical systems

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • 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.]
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.