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| 具有脉冲和稀疏效应的Holling III型捕食者-食饵模型的周期解 |
| Periodic Solution of a Holling Type III Predator-prey Model with Impulsive and sparse effect |
| 投稿时间：2018-11-02 修订日期：2019-03-21 |
| DOI： |
| 中文关键词: 周期解 捕食者-食饵模型 脉冲 |
| 英文关键词: Periodic solution Predator-prey model Impulsive |
| 基金项目:海南省自然科学基金(项目编号：117097); 海南师范大学研究生创新科研项目(项目编号Hsyx2017-29) |
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| 中文摘要: |
| 本文研究了具有脉冲扰动和稀疏效应的Holling III型功能反应的捕食者-食饵系统周期解的存在性。利用Mawhin重合度理论和分析工具,证明了该模型周期解的存在性,给出了周期解存在的充分条件,并通过数值模拟加以验证. |
| 英文摘要: |
| In this paper, the dynamics of a Holling type III predator-prey system with impulsive perturbations and sparse effect is considered. The existence of the periodic solution is proved by using the Mawhin’s coincidence degree theory and analysis techniques, and the sufficient condition for the existence of the periodic solution is also given. Finally, our analytic result is verified by some numerical simulations. |
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