TY - EJOU AU - Elettreby, M. F. AU - Nabil, Tamer AU - Khawagi, A. TI - Stability and Bifurcation Analysis of a Discrete Predator-Prey Model with Mixed Holling Interaction T2 - Computer Modeling in Engineering \& Sciences PY - 2020 VL - 122 IS - 3 SN - 1526-1506 AB - 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. KW - Predator-prey model KW - functional response of Holling type KW - stability and bifurcation analysis KW - chaos DO - 10.32604/cmes.2020.08664