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• W2472348908 abstract "We investigate the dynamics of a discrete-time predator-prey system. Firstly, we give necessary and sufficient conditions of the existence and stability of the fixed points. Secondly, we show that the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation by using center manifold theorem and bifurcation theory. Furthermore, we present numerical simulations not only to show the consistence with our theoretical analysis, but also to exhibit the complex but interesting dynamical behaviors, such as the period-6, -11, -16, -18, -20, -21, -24, -27, and -37 orbits, attracting invariant cycles, quasi-periodic orbits, nice chaotic behaviors, which appear and disappear suddenly, coexisting chaotic attractors, etc. These results reveal far richer dynamics of the discrete-time predator-prey system. Finally, we have stabilized the chaotic orbits at an unstable fixed point using the feedback control method." @default.
• W2472348908 created "2016-07-22" @default.
• W2472348908 creator A5009785946 @default.
• W2472348908 creator A5056979762 @default.
• W2472348908 creator A5078956553 @default.
• W2472348908 date "2016-07-13" @default.
• W2472348908 modified "2023-10-16" @default.
• W2472348908 title "Dynamics of a discrete-time predator-prey system" @default.
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• W2472348908 doi "https://doi.org/10.1186/s13662-016-0903-6" @default.
• W2472348908 hasPublicationYear "2016" @default.
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