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• W3103408287 abstract "In this paper, local dynamics, bifurcations and chaos control in a discrete-time predator-prey model have been explored in <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msubsup> <mi>ℝ</mi> <mo>+</mo> <mn>2</mn> </msubsup> </math> . It is proved that the model has a trivial fixed point for all parametric values and the unique positive fixed point under definite parametric conditions. By the existing linear stability theory, we studied the topological classifications at fixed points. It is explored that at trivial fixed point model does not undergo the flip bifurcation, but flip bifurcation occurs at the unique positive fixed point, and no other bifurcations occur at this point. Numerical simulations are performed not only to demonstrate obtained theoretical results but also to tell the complex behaviors in orbits of period-4, period-6, period-8, period-12, period-17, and period-18. We have computed the Maximum Lyapunov exponents as well as fractal dimension numerically to demonstrate the appearance of chaotic behaviors in the considered model. Further feedback control method is employed to stabilize chaos existing in the model. Finally, existence of periodic points at fixed points for the model is also explored." @default.
• W3103408287 created "2020-11-23" @default.
• W3103408287 creator A5044296800 @default.
• W3103408287 creator A5052541435 @default.
• W3103408287 date "2020-11-12" @default.
• W3103408287 modified "2023-10-11" @default.
• W3103408287 title "Discrete-Time Predator-Prey Model with Bifurcations and Chaos" @default.
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• W3103408287 doi "https://doi.org/10.1155/2020/8845926" @default.
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