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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

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

Figure 3

Time series of \(u_{1}(t)\), \(u_{2}(t)\) and \(v(t)\) generated by the model (1.5): Three initial values are chosen as \((u_{1}(0),u_{2}(0),v(0)) = (8, 0.5, 21), (2, 4, 14), (1, 6, 12)\) marked red points, blue points and black points, respectively. The dashed line stands for \(u_{1}(t) = 4.125000892829194\), \(u_{2}(t) = 2.250000487010802\) and \(v(t) = 17.406948324710228\), respectively

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