The Effects of Resource Limitation on a Predator-Prey Model with Control Measures as Nonlinear Pulses

Figure 4

Bifurcation diagrams of model (3) with respect to bifurcation parameter 𝑇, where all parameter values are fixed as follows: 𝑎=8, 𝑏=5,𝑐=1,𝜔=1,𝜇=0.95,𝑑=0.2,𝜎=0.8,𝑝₁^max=0.5,𝑝₂^max=0.01,𝜃₁=0.2,𝜃₂=2, and (𝑥₀,𝑦₀)=(2,1). (a) Prey population 𝑥 with 𝑇; (b) predator population 𝑦 with 𝑇.

(a)

(b)