Bifurcation Analysis of a Predator-Prey System with Holling-II Type Functional Response and Harvesting Term

In this paper, we deal with a predator-prey system with harvesting term and Holling-II type functional response under Dirichlet boundary condition. Firstly, we give a prior estimate by using the Maximal Principle and the upper and lower solution method. Secondly, we investigate the existence of local bifurcation of semi-trivial solution by applying the spectrum analysis method and bifurcation theory. Finally, we show that the local bifurcation can be extended to global bifurcation, and the continuum goes to infinity.