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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Delay-induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio-dependent response and Smith growth

Figure 2

There exists unstable spatially homogenous periodic bifurcating from the positive equilibrium \(( u^{*},v^{*} ) =(0.6250,0.7813)\) of (1.2) when \(\tau =6.85>6.8222\). Here we set parameter values \(d_{1}=0.2\), \(d_{2}=1\), \(\delta =2\), \(\alpha =0.05\), \(\beta =0.3\), \(h=0.8\), \(c=0.1\). (A)–(B) The initial value \((u(x,0),v(x,0))=(0.62+0.05\cos x,0.78+0.05\cos x)\); (C)–(D) The initial value \((u(x,0),v(x,0))=(0.62+0.05\sin x,0.78+0.05\sin x)\)

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