Positive periodic solutions for impulsive Gause-type predator-prey systems |
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| Authors: | Xiaoquan Ding Bentang SuJianmin Hao |
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| Affiliation: | a School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471003, PR China
b Department of Mathematics and Information Science, Shandong Agricultural University, Tai’an, Shandong 271018, PR China |
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| Abstract: | This paper is devoted to impulsive periodic Gause-type predator-prey systems with monotonic or non-monotonic numerical responses. With the help of a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of positive periodic solutions. As corollaries, some applications are listed. In particular, our results improve and generalize some known ones. |
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| Keywords: | Predator-prey system Impulse Periodic solution Delay Coincidence degree |
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