Permanence and Global Attractivity of a Non-autonomous Single Species System with Michaelis-Menten-Type Feedback Control

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-05-22 DOI:10.37394/23202.2023.22.51

Fengde Chen, Y. Chong, Shang-Feng Chen

引用次数: 0

Abstract

During the past decade, many scholars have investigated the dynamic behaviors of the ecosystem with Michaelis-Menten-type harvesting; however, most of them assume that the harvesting effort does not change with time. Such an assumption has its drawbacks. Generally speaking, the rate of increase in harvesting effort changes with the density of the species. Inspired by this, we put forth a novel form of single-population feedback control model, in which the feedback control variable is of the Michaelis-Menten-type. Sufficient conditions that ensure the permanence and global attractivity of the system are obtained.

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具有michaelis - menten型反馈控制的非自治单物种系统的持久性和全局吸引性

近十年来，许多学者对michaelis - menten型采伐的生态系统动态行为进行了研究，但大多假设采伐力度不随时间变化。这种假设有其缺陷。一般来说，收获努力的增加率随物种密度的变化而变化。受此启发，我们提出了一种新颖的单种群反馈控制模型，其中反馈控制变量为michaelis - menten型。得到了系统持久和全局吸引的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.