Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator

Figure 1

The dynamics of system (1.1) with 𝑟=1,𝑎=1,𝑏=4,𝑘=2,𝑚=0.8,𝐷=0.4,𝑣₁=𝑣₂=0.2,𝑙=0.5,𝛿=0.1,𝛿₁=0.5,𝛿₂=0.1,𝑞=0.74,𝑇=14.5 and initial values 𝑥=8.5,𝑦₁=4.8,𝑦₂=2.8. (a) Time series of prey; (b) time series of immature predator; (c) time series of mature predator; (d) phase portrait of system (1.1).

(a)

(b)

(c)

(d)