Figure 1From: Hopf bifurcation in a diffusive predator–prey model with Smith growth rate and herd behaviorThe positive equilibrium \((u^{*},v^{*} )\) of system (1.1) is asymptotically stable in the situation when the value of the parameter \(c=0.8>0.7366\). Here we choose to set the parameter values \(d_{1}=0.05\), \(d_{2}=0.1\), \(\gamma =1\), \(\beta =0.5048\), and for the initial values we take \(u(x,0)=0.3042+0.05\cos x\), \(v(x,0)=0.3619+0.05\cos x\)Back to article page