Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion

Figure 2

Stationary Turing patterns of 𝑢 in model (4) at time 𝑡=2000 with parameters 𝑎=0.43, 𝑏=0.22, 𝑐=0.4, 𝑟=1.4, 𝑚=0.17, 𝑑₁₁=0.4, 𝑑₁₂=0.05, 𝑑₂₂=0.37, 𝜏=0.46, and (a) (d) (𝑑,𝑑₂₁,𝑑₂₂)=(0.08,0.89,0.37), (b) (e) (𝑑,𝑑₂₁,𝑑₂₂)=(0.4,0.89,0.37), and (c) (f) (𝑑,𝑑₂₁,𝑑₂₂)=(0.61,0.39,0.75), and the other parameters are fixed as (25). Times: 𝑡=2000.

(a)

(b)

(c)

(d)

(e)

(f)