The dynamics of an impulsive one-prey multi-predators system with delay and Holling-type II functional response |
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| Authors: | Yuanfu Shao Binxiang Dai Zhenguo Luo |
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| Affiliation: | a School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou 550001, PR China
b School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, PR China |
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| Abstract: | Considering the effects of changing environments, delays, impulses and functional response, a one-prey multi-predators system is established in this paper. Using comparison theorem and some analysis techniques, sufficient conditions ensuring the global attractivity of the prey-extinction positive periodic solution and the permanence of the system are obtained. Finally, examples and numerical simulations are given to show the effectiveness of the main results. |
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| Keywords: | Attractivity Extinction Permanence Delay Impulsive effect |
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