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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 8 | Advances in Difference Equations

Figure 8

From: Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control

Figure 8

Bifurcation diagrams of model (17) with respect to bifurcation parameter δ. Parameter values are: \(r=2.26\), \(k=13.6\), \(\alpha =1.2\), \(c=0.37\), \(\omega =0.25\), \(D=0.59\), \(\delta =0.38\), \(h=7.8\), \(\lambda _{1}=1.25\), \(\lambda _{2}=5.5\), \(\theta =1.65\), \(T=18\). The red results are generated from initial values \((x_{0} , y_{0} ) = (2.7, 2.5)\) and the blue results are generated from initial values \((x_{0} , y_{0} ) = (2.5, 2.7)\)

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