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Lotka–Volterra Model (predator–prey):
  Parameters: alpha=1.000, beta=0.500, gamma=0.200, delta=0.800
  Equilibrium: $(x^*,y^*)=(4.000,2.000)$
  Initial conditions: $x_0=5.000$, $y_0=1.500$
  Prey lead predator by about 1.50 time units; estimated period $T\approx7.10$

SIR Epidemic Model:
  beta=0.5, gamma=0.1, N=1000, $R_0=5.00$
  Peak infections: 478 at $t=21.1$