Existence of four periodic solutions of a ratio-dependent predator-prey model with exploited terms |
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| Authors: | Desheng Tian Zhengqiu Zhang |
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| Affiliation: | (1) School of Science, Hubei University of Technology, Wuhan, 430068, Hubei, China;(2) Department of Applied Mathematics, Hunan University, Changsha, 410082, Hunan, China |
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| Abstract: | We study a non-autonomous ratio-dependent predator-prey model with exploited terms. This model is of periodic coefficients, which incorporates the periodicity of the varying environment. By means of the coincidence degree theory, we establish sufficient conditions for the existence of at least four positive periodic solutions of this model. |
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| Keywords: | predator-prey model ratio-dependent exploited term periodic solution coincidence degree |
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