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• W2794396883 abstract "The dynamics of a discrete-time predator-prey system with Ivlev functional response is investigated in this paper. The conditions of existence for flip bifurcation and Hopf bifurcation in the interior of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant=normal>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math> are derived by using the center manifold theorem and bifurcation theory. Numerical simulations are presented not only to substantiate our theoretical results but also to illustrate the complex dynamical behaviors of the system such as attracting invariant circles, periodic-doubling bifurcation leading to chaos, and periodic-halving phenomena. In addition, the maximum Lyapunov exponents are numerically calculated to confirm the dynamical complexity of the system. Finally, we compare the system to discrete systems with Holling-type functional response with respect to dynamical behaviors." @default.
• W2794396883 created "2018-03-29" @default.
• W2794396883 creator A5085650215 @default.
• W2794396883 date "2018-01-01" @default.
• W2794396883 modified "2023-09-27" @default.
• W2794396883 title "Complex Dynamics of a Discrete-Time Predator-Prey System with Ivlev Functional Response" @default.
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• W2794396883 doi "https://doi.org/10.1155/2018/8635937" @default.
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