Fig 4. Population dynamics.

(a) Growth rate as a function of the log population ratio. When u ¹ < u ² the population ratio increases, and when u ² < u ¹ the population ratio decreases. When u ¹ = u ² the population ratio does not change. The steady state ${\tilde{N}}^{**}$ is stable since small perturbations in the population ratio lead the population ratio back to ${\tilde{N}}^{**}$. (b) Log population ratio over time after a perturbation at time step 0. Population converges back to SSS over time.