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

Figure 2

The dynamical behavior of the system (1.1) with parameters 𝑎=5,𝑇=8,𝛿₁=0.2. (a)–(c) show that a trajectory with a starting point (𝑥₀,𝑦₀,𝑧₀)=(0.01,0.01,0.01) near the solution (0,0,𝑧^∗(𝑡)) is repelled from the periodic solution (0,0,𝑧^∗(𝑡)) and then approaches to another periodic solution.

(a)

(b)

(c)