On the qualitative analysis of a predator-prey mode with Mon od- Haldane functional response and stage structure

The goal of this paper is to study systematically a predator-prey mode consisting of one prey and one predator species which include immature stage and mature stage. The Mon od- Haldane functional response is used in the predator-prey system. By applying qualitative analysis, then we take the sufficient condition for the overall stability to the model of the boundary equilibrium point R-1(1,0,0), and by choosing some appropriate parameters to obtain the criterion of the positive equilibrium R-3(x(0), y(0), z(0)) which is partially stable. At the end of my paper, I will use the MATLAB software to provide two examples which can demonstrate these conclusions in my thesis.