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• W2129782605 abstract "In this paper, we investigate the dynamics of a discrete-time predator-prey system of Holling-III type in the closed first quadrant . Firstly, the existence and stability of fixed points of the system is discussed. Secondly, it is shown that the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation in the interior of by using bifurcation theory. Finally, numerical simulations including bifurcation diagrams, phase portraits, and maximum Lyapunov exponents are presented not only to explain our results with the theoretical analysis, but also to exhibit the complex dynamical behaviors, such as the period-6, -7, -9, -15, -16, -22, -23, -32, -35 orbits, a cascade of period-doubling bifurcations in period-2, -4, -8, -16 orbits, quasi-periodic orbits, and chaotic sets. MSC: 37G05, 37G35, 39A28, 39A33." @default.
• W2129782605 created "2016-06-24" @default.
• W2129782605 creator A5038064088 @default.
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• W2129782605 date "2014-07-22" @default.
• W2129782605 modified "2023-09-23" @default.
• W2129782605 title "Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type" @default.
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• W2129782605 doi "https://doi.org/10.1186/1687-1847-2014-180" @default.
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