Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model

Figure 4

The solutions of model (2) tends to aperiodically oscillatory orbit. The parameters are taken as 𝐷₁=0.01, 𝐷₂=0.1, 𝑎₁=2, 𝑎₂=1, 𝑏=0.5, 𝑐₁=𝑐₂=2, 𝑘₁=𝑘₂=1, and the initial values 𝐻(𝑥,𝑡)=2+0.1𝑡sin𝑥, 𝑃(𝑥,𝑡)=1.5+0.1𝑡cos𝑥. 𝑡∈[−4,0], 𝑥∈[0,𝜋]. In this case, 𝜏=4>𝜏⁰₀.

(a)

(b)