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

Figure 1

Bifurcation diagram of system (1.1) with initial conditions 𝑥₀=(0.1,0.1,0.1). (a) 𝜑=0; (b) 𝜑=𝜋/2; (c) 𝜑=𝜋; (d) the largest Lyapunov exponent (𝑘₂ from 10 to 25) for system (1.1).

(a)

(b)

(c)

(d)