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Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Bifurcation and complex dynamics of a discrete-time predator-prey system with simplified Monod-Haldane functional response

Figure 2

Bifurcation diagrams and maximum Lyapunov exponent for system ( 3 ) around \(\pmb{E_{2}}\) . (a) Neimark-Sacker bifurcation diagram of system (3) in \((\delta-x-y)\) space, (b)-(c) NS bifurcation diagrams in \((\delta-x)\) and \((\delta-y)\) planes, (d) maximum Lyapunov exponents corresponding to (b)-(c), (e) maximum Lyapunov exponents are superimposed on bifurcation diagrams, (f) local amplification corresponding to (b) for \(\delta\in[1.26141, 1.6309]\). The initial value is \((x_{0}, y_{0}) = (0.29, 1.62)\).

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