Multiple periodic solutions in delayed Gause-type ratio-dependent predator–prey systems with non-monotonic numerical responses |
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| Authors: | Xiaoquan Ding Jifa Jiang |
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| Institution: | aDepartment of Mathematics, Tongji University, Shanghai 200092, PR China;bDepartment of Mathematics and Information Science, Shandong Agricultural University, Tai’an, Shandong 271018, PR China |
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| Abstract: | By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple periodic solutions in delayed Gause-type ratio-dependent predator–prey systems with numerical responses. As corollaries, some applications are listed. |
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| Keywords: | Predator– prey system Ratio-dependent Non-monotonic numerical response Periodic solution Coincidence degree |
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