Assess graduate students' ability to analyze stability and bifurcations in nonlinear predator–prey models with Allee effects: locate and classify equilibria (extinction, single-species, coexistence), compute the Jacobian and eigenvalues for local stability, derive conditions for common bifurcations (saddle-node, transcritical, Hopf) as parameters vary, interpret Allee thresholds' influence on extinction versus persistence, sketch phase portraits and bifurcation diagrams, and describe numerical continuation strategies for tracking parameter-dependent transitions.