Hopf bifurcation in a partial dependent predator–prey system with multiple delays

Figures & data

Figure 1. (a) E_* is asymptotically stable equilibrium at τ₁=1.3, τ₂=2.6 and τ₃=0.085; (b) E_* loses stability and Hopf bifurcation occurs at τ₁=2.1, τ₂=4.1 and τ₃=0.3.

Figure 2. (a) E_* loses stability and a chaotic solution occurs at τ₁=2.7, τ₂=5.0 and τ₃=2.1; (b) the largest Lyapunov exponent diagram of system (4.1) for variable τ₁ at τ₂=5.0 and τ₃=2.1.

Figure 3. (a) The largest Lyapunov exponent diagram of system (4.1) for variable τ₂ at τ₁=2.7 and τ₃=2.1; (b) for a variable τ₃ at τ₁=2.7 and τ₂=5.0.