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Primary Research

Stochastic sensitivity analysis of noise-induced excitement in a prey–predator plankton system

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Pages 141-148 | Received 15 Mar 2012, Accepted 11 Jun 2012, Published online: 06 Aug 2012

Figures & data

Figure 6. Random states and a confidence ellipse for a=7.3, ϵ=0.0005, and P=0.95.

Figure 6. Random states and a confidence ellipse for a=7.3, ϵ=0.0005, and P=0.95.

Figure 1. Attractors of the deterministic Truscott–Brindley system.

Figure 1. Attractors of the deterministic Truscott–Brindley system.

Figure 2. Truscott–Brindley system Equation(4) with a=7.3: (a) a deterministic phase portrait (ϵ=0), and random trajectories for (b) ϵ=0.001 and (c) ϵ=0.003.

Figure 2. Truscott–Brindley system Equation(4) with a=7.3: (a) a deterministic phase portrait (ϵ=0), and random trajectories for (b) ϵ=0.001 and (c) ϵ=0.003.

Figure 3. Truscott–Brindley system Equation(4) with a=7.35: (a) a deterministic limit cycle (ϵ=0), and random trajectories for (b) ϵ=0.001 and (c) ϵ=0.003.

Figure 3. Truscott–Brindley system Equation(4) with a=7.35: (a) a deterministic limit cycle (ϵ=0), and random trajectories for (b) ϵ=0.001 and (c) ϵ=0.003.

Figure 4. Deterministic (black) and stochastic (grey) attractors for (a) ϵ=0.001 (b) and ϵ=0.005.

Figure 4. Deterministic (black) and stochastic (grey) attractors for (a) ϵ=0.001 (b) and ϵ=0.005.

Figure 5. Stochastic sensitivity of equilibria.

Figure 5. Stochastic sensitivity of equilibria.

Figure 7. Phase trajectories of the deterministic Truscott–Brindley system and confidence ellipses with ϵ=0.001 (small), ϵ=0.003 (middle), ϵ=0.005 (large), P=0.95 for (a) a=7.2 and (b) a=7.3.

Figure 7. Phase trajectories of the deterministic Truscott–Brindley system and confidence ellipses with ϵ=0.001 (small), ϵ=0.003 (middle), ϵ=0.005 (large), P=0.95 for (a) a=7.2 and (b) a=7.3.

Figure 8. Time series of the stochastic Truscott–Brindley system with ϵ=0.003 for (a) a=7.2 and (b) a=7.3.

Figure 8. Time series of the stochastic Truscott–Brindley system with ϵ=0.003 for (a) a=7.2 and (b) a=7.3.

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