Navigating Deeply Uncertain Tradeoffs in Harvested Predator-Prey Systems

Figure 1

Direction fields and trajectories for different parameterizations of the predator-prey system. Black lines indicate zero-isoclines; their intersections indicate nontrivial equilibria. (a) Prey-dependent system with a global attractor stable equilibrium (). (b) Predator-dependent system with a global attractor stable equilibrium (, , , , , , ). (c) Predator-dependent system with unstable equilibrium and limit cycles as the global attractor (, , , , , , ). (d) Prey-dependent system with unstable equilibrium and limit cycles as the global attractor (, , , , , , ). (e) Predator-dependent system with unstable equilibrium and deterministic extinction (, , , , , , ). (f) Predator-dependent system with two equilibria and no global attractor (, , , , , , ). All systems assume no process noise.

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