| 摘要: |
| 研究了一类具有相互干扰和恐惧效应的Leslie-Gower捕食-食饵模型.利用blow-up方法研究了原点的稳定性.进一步研究了唯一正平衡的存在性和稳定性，并说明相互干扰和恐惧效应对正平衡的稳定性没有影响，但是可以改变唯一正平衡的值.并通过一些数值模拟验证了主要结论. |
| 关键词: 全局稳定 Leslie-Gower 相互干扰 恐惧效应 |
| DOI：10.3969/J.ISSN.1000-5137.2020.03.009 |
| 分类号:O19 |
| 基金项目: |
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| Global stability of a Leslie-Gower predator-prey model with mutual interference and fear effect |
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HUANG Ying, LI Zhong
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College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, Fujian, China
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| Abstract: |
| In this paper, we consider a Leslie-Gower predator-prey model with mutual interference and fear effect. Using the blow-up method, we study the stability of its origin. Further, we investigate the existence and stability of the unique positive equilibrium, and show that the mutual interference and fear effect have no influence on the stability of the positive equilibrium, but can change the value of the unique positive equilibrium. Some examples are presented to verify our main results. |
| Key words: global stability Leslie-Gower mutual interference fear effect |
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