Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior

Figure 1

The phase portraits of system (5). Initial values 𝑥₀=0.4, 𝑦₀=0.39. Parameters 𝑠=1, 𝑐=0.4. Delay values (a) 𝜏=0, (b) 𝜏=5, (c) 𝜏=10, and (d) 𝜏=15.

(a)

(b)

(c)

(d)