Note on the persistence and stability property of a commensalism model with Michaelis-Menten harvesting and Rolling type II commensalistic benefit

被引：7

作者：

Chen, Fengde ^{[1
]}

Chen, Yuming ^{[2
]}

Li, Zhong ^{[1
]}

Chen, Lijuan ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Stat, Fuzhou 350002, Fujian, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 134卷

关键词：

Commensalism; Michaelis-Menten harvesting; Global stability; Permanence; Partial survival;

D O I：

10.1016/j.aml.2022.108381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we revisit the commensalism model proposed and analyzed recently by Jawad (2022). By applying the standard comparison theorem and the theory of asymptotically autonomous systems, we completely describe the partial survival, permanence, and global stability of the positive equilibrium of the system. These results not only complement but also essentially improve the corresponding ones of Jawad. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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