| 具有相互干扰和恐惧效应的Leslie-Gower捕食-食饵模型的全局稳定性 |
| |
| 引用本文： | 黄滢,李忠.具有相互干扰和恐惧效应的Leslie-Gower捕食-食饵模型的全局稳定性[J].上海师范大学学报(自然科学版),2020,49(3):334-343. |
| |
| 作者姓名： | 黄滢 李忠 |
| |
| 作者单位： | 福州大学数学与计算机科学学院,福建福州380108;福州大学数学与计算机科学学院,福建福州380108 |
| |
| 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 |
| 收稿时间： | 2020/4/1 0:00:00 |
Global stability of a Leslie-Gower predator-prey model with mutual interference and fear effect |
| |
| HUANG Ying and LI Zhong.Global stability of a Leslie-Gower predator-prey model with mutual interference and fear effect[J].Journal of Shanghai Normal University(Natural Sciences),2020,49(3):334-343. |
| |
| Authors: | HUANG Ying and LI Zhong |
| |
| Institution: | College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, Fujian, China and College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, Fujian, China |
| |
| 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. |
| |
| Keywords: | global stability Leslie-Gower mutual interference fear effect |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《上海师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《上海师范大学学报(自然科学版)》下载免费的PDF全文 |
