Flip bifurcation and Neimark-Sacker bifurcation in a discrete predator-prey model with Michaelis-Menten functional response

<abstract><p>In this paper, we use a semi-discretization method to explore predator-prey model with Michaelis-Menten functional response. Firstly, investigate the local stability of fixed points. Then, by using center manifold theorem and bifurcation theory, demonstrate that system experiences flip Neimark-Sacker at point when one parameters goes through its critical value. To illustrate our results, numerical simulations, which include maximum Lyapunov exponents, fractal dimensions phase portraits, are also presented.</p></abstract>