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Note on the persistence and stability property of a commensalism model with Michaelis–Menten harvesting and Holling type II commensalistic benefit
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2022-08-10 , DOI: 10.1016/j.aml.2022.108381
Fengde Chen , Yuming Chen , Zhong Li , Lijuan Chen

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.



中文翻译:

关于具有 Michaelis-Menten 收获和 Holling II 型共生效益的共生模型的持久性和稳定性特性的注释

在本文中,我们重新审视了 Jawad(2022)最近提出和分析的共生模式。通过应用标准比较定理和渐近自治系统理论,我们完整地描述了系统正平衡的部分生存性、持久性和全局稳定性。这些结果不仅补充了 Jawad 的相应结果,而且从根本上改善了 Jawad 的相应结果。

更新日期:2022-08-10
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