Complex Dynamics of a Diffusive Holling-Tanner Predator-Prey Model with the Allee Effect

Figure 5

The phase portrait of model (7) with the weak Allee effect. The parameters are taken as 𝑎=0.25, 𝛿=0.8, 𝑚=1.3, and 𝑟=0.025265. The model enters into a Hopf bifurcation around 𝐸^∗=(0.3232928050,0.4849392075) at 𝑟=𝑟^∗.