Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters

Figure 1

The time histories and phase portrait of system (4.1) with the following parameters: 𝑎=0.5,𝑏=0.5,𝑐=2,𝜛=2,𝑑=0.2, and 𝜏=1.7<𝜏₀≈1.7355. The positive equilibrium 𝐸_∗(𝑥^∗,𝑦^∗)=(0.4928,1.3217) is asymptotically stable. The initial value is (0.2, 2).

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