Establishment and analysis of a predator-prey model considering nonlinear harvesting
In this paper,a predator-prey model with nonlinear harvest function is established and analyzed.Firstly,we give the condi-tions for the existence of equilibria.The results of analysis show that this system has an extinction equilibrium,two boundary equilibria and a positive equilibrium.Then we focus on the dynamic behavior of this system and it is found that this system has complex dynamic behaviors such as saddle-node bifurcation and Hopf bifurcation.Furthermore,the numerical results show that the size of predators may go to extinct,constant or periodic oscillations,which depends on the intensity of harvest.This means that the number of predators can be controlled in practice by adjusting the intensity of harvest.The theoretical results of this paper can further enrich the research of predator-prey models,and provide theoretical basis for the formulation of rational harvesting strategies.
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