A small system with chaos
Lecture 4 · dynamical systemsSimulate the 3D Lorenz system and compare its route to chaos with the discrete logistic model's period-doubling cascade.
From Lecture 4, “Dimension and chaos.”
Replicator dynamics with three strategies
Lecture 7 · evolutionary game theoryExtend the replicator equation to three strategies and use the Jacobian's eigenvalues to determine whether Rock–Paper–Scissors' interior equilibrium attracts, repels, or neither.
From Lecture 7, “One more direction.”
Conservation: which life stage to target
Lecture 7 · structured populationsImplement the paper's elasticity formula, reproduce their Figure 3, and apply it to another published stage-structured model.
Crouse, Crowder & Caswell (1987), Ecology 68(5), 1412–1423.
See the Loggerhead Turtle Simulator.