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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 5 | Advances in Difference Equations

Figure 5

From: Stability and Hopf bifurcation for a stage-structured predator–prey model incorporating refuge for prey and additional food for predator

Figure 5

Time series of \(u_{1}(t)\), \(u_{2}(t)\), \(v(t)\) and phase portrait of the model (1.5) with \(\tau= 0.06 < \tau_{0} = 0.1509514710143546\). An orbit from the initial condition \((u_{1}(0),u_{2}(0),v(0)) = (7, 1.2, 125)\) located in a sufficiently small neighborhood of the equilibrium \(E_{2}(5.303571428572600, 1.650000000000400, 133.712142857161200)\) converges to the equilibrium \(E_{2}\). The simulation results indicate that the equilibrium \(E_{2}\) is locally asymptotically stable

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