Stability and Local Hopf Bifurcation for a Predator-Prey Model with Delay

Figure 2

When 𝜏=1.13>𝜏₀, bifurcation periodic solutions form 𝐸⁺. (a) shows the trajectory graphs of system (4.1) with initial data 𝑥(𝑡)=2,𝑦₁(𝑡)=2,𝑦₂(𝑡)=2. (b) shows the phase portrait of system (4.1).

(a)

(b)