Bifurcation Analysis of a Discrete Predator-Prey Model with Prey Refuge and Holling Ⅱ Functional Response Function
A discrete model with prey refuge and Holling type Ⅱ functional response function is considered.By selecting parameters,using the center manifold theorem and bifurcation theory,the existence of Flip bifurcation and Neimark-Sacker bifurcation at the positive equilibrium point of the model is expounded,and the dynamic behavior of the model is demonstrated.
prey refugesHolling type Ⅱ functional response functiondiscrete modelFlip bifurcationNeimark-Sacker bifurcation