Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay

Figure 3

Sustained oscillation when 𝜏=30 is much larger than its critical value 𝜏⁰₀≐26.3983 with 𝑑₁=0.002, 𝑑₂=0.02, 𝑏=𝑐=0.03, 𝑛=2,𝑝₀=0.4 and the initial values are 𝑚₀(𝑥)=0.2+0.1cos𝑥; and 𝑝₀(𝑥)=5.6−0.01cos𝑥.