The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System

Figure 1

Dynamical behavior of system (2.5) on prey-extinction periodic solution with 𝑥₂(0)=5.2, 𝑦₁(0)=5.0, 𝑦₂(0)=5.6, 𝑟=1, 𝜏₁=3, 𝑑=3, 𝑎₁=1, 𝑎₂=1, 𝑏₂=1, 𝛽=4, 𝑘=0.9, 𝐷=0.5, 𝑤=1, and 𝜏=1. (a) Time-series of 𝑥₂(𝑡), (b) time-series of 𝑦₁(𝑡), (c) time-series of 𝑦₂(𝑡).

(a)

(b)

(c)