Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response

Figure 1

Bifurcation diagram of system (1.3) with initial conditions 𝑥(0)=0.1, 𝑦(0)=0.1, 𝑧(0)=0.1, and 0≤𝑇≤50; 𝑎=1.85, 𝑏=0.65, 𝑐₁=0.65, 𝑐₂=0.55, 𝑐₃=0.45, 𝑐₄=0.15, 𝑐₅=0.55, 𝑐₆=0.8, 𝑒₁=0.6, 𝑒₂=0.6, 𝑑₁=0.1, 𝑑₂=0.3, 𝑃=0.1, and 𝑞=0.8.

(a)

(b)

(c)