Seasonally Perturbed Prey-Predator Ecological System with the Beddington-DeAngelis Functional Response

Figure 3

(a) Strange attractor with 𝜑=0, 𝑘₂=23; (b) Poincaré section of attractor (a); (c) strange attractor with 𝜑=(𝜋/2), 𝑘₂=23; (d) Poincaré section of attractor (c); (e) strange attractor 𝜑=𝜋, 𝑘₂=23; (f) Poincaré section of attractor (e), showing the values of the states 𝑥 and 𝑦  in the plane 𝑧=5.

(a)

(b)

(c)

(d)

(e)

(f)