Bifurcation Analysis In Predator-Prey Systems With Nonmonotonic Functional Response

The dissertation is a survey on bifurcation analysis in predator-prey systems with nonmonotonicfunctional response.The dissertation introduce the study about a predator-prey system with nonmonotonic functional responseand two delay predator-prey systems with nonmonotonic functional responseandAll the models above exhibit Hopf bifurcation and Bogdanov-Takens bifurcation.In the dissertation, we make a comparison for the bifurcations(i.e. Hopf bifurcation and Bogdanov-Takens bifurcation) which are exhibited in all the systems above. And then we interpret the methods used in the bifurcation analysis, i.e., the center manifold reduction and normal form calculation. In fact, the method also can be used for the bifurcation analysis of some other dynamical systems.