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Fig. 4 | Theoretical Biology and Medical Modelling

Fig. 4

From: Numerical simulations of multicomponent ecological models with adaptive methods

Fig. 4

Realistic predator-prey system (26). Typical phase trajectories (b), (f) and (h) of prey-predator system. Time series plots (a), (c), (d), (e) and (g) show various periodic (oscillatory behaviour) of the prey u and predator v populations. Parameter values: μ = 1.5, ψ = 0.08, φ = 0.01, give a steady state at û = 1.5, \( \widehat{v} \) = 0.1 for (a) at t = 400, (b) t = 7000, (c) t = 1500, and (d) t = 8000. By taking û = \( \widehat{v} \) = 0.35, μ = 1, ψ = 0.05, φ = 0.2, we obtain (e) for t = 100, (f) for t = 1000 and (g) for t = 300. For (h), μ = 1.025, t = 8000

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