*(English)*Zbl 1197.34065

Summary: A delayed ratio-dependent predator-prey model with non-monotone functional response is investigated in this paper. Some new and interesting sufficient conditions are obtained for the global existence of multiple positive periodic solutions of the ratio-dependent model. Our method is based on Mawhinâ€™s coincidence degree and some estimation techniques for the a priori bounds of unknown solutions to the equation $Lx=\lambda $Nx. An example is represented to illustrate the feasibility of our main result.

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