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- W4289262007 abstract "Abstract In this paper, we use a semi-discretization method to explore a predator-prey model with Michaelis-Menten functional response. Firstly we investigate the existence and local stability of fixed points. Then by using the center manifold theorem and bifurcation theory, we demonstrate that the system experiences a flip bifurcation and a Neimark-Sacker bifurcation at a fixed point when one of the parameters goes through its critical value. To illustrate our results, numerical simulations, which include maximum Lyapunov expoents, fractal dimensions and phase portraits, are also presented." @default.
- W4289262007 created "2022-08-01" @default.
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- W4289262007 date "2022-08-01" @default.
- W4289262007 modified "2023-09-28" @default.
- W4289262007 title "Flip bifurcation and Neimark-Sacker bifurcation in a discrete predator-prey model with Michaelis-Menten functional response" @default.
- W4289262007 doi "https://doi.org/10.21203/rs.3.rs-1899834/v1" @default.
- W4289262007 hasPublicationYear "2022" @default.
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