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This paper establishes a host-parasitoid model with Allee effect and Holling III functional response, and discusses the persistent problem of this system. Through computer simulation, the growth rate of r is used as the parameter of the bifurcation diagram, and the effect of Allee effect on the dynamic behavior of the system is analyzed. Keywords—Allee effect; Holling III functional response; bifurcation diagram; persistence

The Persistence of a Discrete Host-parasitoid Model with Allee Effect and Holling III Functional Response