On the qualitative analysis of a predator-prey mode with Mon od- Haldane functional response and stage structure
Modelling and Simulation-World Academic Union(2011)
摘要
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.
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关键词
Stage structure,Mon od- Haldane functional response,Liapunov Function,overall stability
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