Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response

Figure 1

The dynamical behavior of the system (1.1) with parameters 𝑎=1,𝑇=1,𝛿₁=0.7. (a)–(c) show that a trajectory with a starting point (𝑥₀,𝑦₀,𝑧₀)=(10,1,0.4) approaches to the periodic orbit (0,0,𝑧^∗(𝑡)). In (d)–(f) the behavior of trajectory with a different starting point (𝑥₀,𝑦₀,𝑧₀)=(100,100,100) is shown.

(a)

(b)

(c)

(d)

(e)

(f)