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    ARTICLE

    Stability and Bifurcation Analysis of a Discrete Predator-Prey Model with Mixed Holling Interaction

    M. F. Elettreby1, 2, *, Tamer Nabil1, 3, A. Khawagi4

    CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.3, pp. 907-921, 2020, DOI:10.32604/cmes.2020.08664

    Abstract In this paper, a discrete Lotka-Volterra predator-prey model is proposed that considers mixed functional responses of Holling types I and III. The equilibrium points of the model are obtained, and their stability is tested. The dynamical behavior of this model is studied according to the change of the control parameters. We find that the complex dynamical behavior extends from a stable state to chaotic attractors. Finally, the analytical results are clarified by some numerical simulations. More >

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