Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion

Figure 1

Bifurcation diagrams of system (3) with respect to 𝑑₂ and 𝛿 when 𝛼=0.4, 𝛽=5/6, and 𝑑₁=1. Hopf bifurcation line: 𝛿=0.3587; Turing bifurcation line: 𝛿=0.0932𝑑₂; wave bifurcation line: 𝛿=(7/37)𝑑₂+(375/1369)𝑑²₂−(10√15/1369)375𝑑²₂−232𝑑₂+375+(375/1369). Hopf-Turing bifurcation point: (4.0611,0.3587). Turing-wave bifurcation point: (1,0.0932).