Figure 4

There exist stable spatially homogenous periodic solutions which are all bifurcating from the positive equilibrium \((u^{*},v^{*} )\) of system (1.2) when the parameter \(\tau =0.9463>0.9363\). Here we choose parameter values \(d_{1}=0.05\), \(d_{2}=0.1\), \(\gamma =1\), \(\beta =0.6\), \(c=0.75\), and then set the initial values as \(u(x,0)=0.4094+0.05\cos x\), \(v(x,0)=0.3517+0.05\cos x\)