| 周洪健，孙钰淑，王凯华*.具有脉冲和稀疏效应的Holling III型捕食者-食饵模
型的周期解[J].海南师范大学学报自科版,2019,32(1):72-77 |
| 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 withImpulsive and Sparse Effect |
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| DOI：10.12051/j.issn.1674-4942.2019.01.012 |
| 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（117097）；海南师范大学研究生创新科研项目（Hsyx2017-29） |
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| 中文摘要: |
| 为研究具有脉冲扰动和稀疏效应的Holling III型功能反应的捕食者-食饵系统的周期
解，利用Mawhin重合度理论和分析工具，证明该模型周期解的存在性，给出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 periodic solution of a Holling type III predator-prey system with impulsive perturbations and
sparse effect was studied. The existence of the periodic solution was proved by using the Mawhin's coincidence degree theo⁃
ry and analysis techniques, and the sufficient condition for the existence of the periodic solution was also given. Finally, the
analytic result was verified by some numerical simulations. |
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