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

Figure 1

The monotonicity of 𝑅¹₀ and 𝑅²₀ with respect to 𝑇. (a) 𝑅¹₀>𝑅₂. All parameters are fixed as follows: 𝑎=0.5, 𝑏=0.8, 𝑐=1.6, 𝜔=1, 𝜇=0.4, 𝑑=0.37, 𝜎=0.78, 𝑝₁^max=0.95, 𝑝₂^max=0.2, 𝜃₁=1, 𝜃₂=2. (b) 𝑅¹₀<𝑅₂. All parameters are fixed as follows: 𝑎=0.1, 𝑏=0.8, 𝑐=2.5, 𝜔=1, 𝜇=0.4, 𝑑=0.37, 𝜎=1, 𝑝₁^max=0.95, 𝑝₂^max=0.1, 𝜃₁=1, and 𝜃₂=2.

(a)

(b)