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

Figure 8

Bifurcation diagrams of susceptible pest for (1.2) with 𝑟=2, 𝐾=4, 𝑎=2, 𝑐=0.5, 𝛼=0.6, 𝑝₁=0.5,  𝑝₂=0.3,  𝑝₃=0.6,  𝜎=0.3,  𝜄=0.5,  𝑑₁=0.2, 𝑑₂=0.4, 𝑞₁=2, 𝑇=10, 𝑆(0)=𝐼(0)=𝑦(0)=1. For each value of 𝑇, system (1.2) is integrated over 800 pulsing cycles, and the last 400 stroboscopic measurements of 𝑆(𝑡) are plotted, and 𝑞₂ is over [0,5].