Fig. 2. Phase diagram for the ecosystem’s dynamics under open access and profit-maximizing harvesting. Dynamics are characterized by dx/dt > 0 (< 0) left (right) of the green line, and dw/dt > 0 (< 0) below (above) the red line. A is an unstable equilibrium; E and F are locally saddlepoint-stable equilibria; B, C, and D are locally stable equilibria; the corresponding basins of attraction are the area northeast of the upper saddlepath (for B), the upper saddlepath (for F), the area in between the two saddlepaths (for D), the lower saddlepath (for E), and the area southwest of the lower saddlepath (for C). Parameter values: ρx = ρw = 0.5, κx = κw = 1, γx = γw = 0, νx = νw = 1, α = 0.6, σ = 0.4, n = 1.


Fig. 2