Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response

Figure 3

Bifurcation diagrams of susceptible pest for (1.2) with 𝑟=4, 𝑘=8, 𝑎=2, 𝑐=0.5, 𝑝₁=0.5, 𝑝₂=𝑝₃=0, 𝑞₁=𝑞₂=2, 𝑑₁=0.2, 𝑑₂=0.4, 𝑇=4, 𝑆(0)=𝐼(0)=𝑦(0)=2. For each value of 𝛼, system (1.2) is integrated over 500 pulsing cycles, and the stroboscopic measurements of 𝑆(𝑡) are plotted, 𝛼 is over [0,1].