WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 22, 2023
Permanence and Global Attractivity of a Non-autonomous Single Species System with Michaelis-Menten-Type Feedback Control
Authors: Fengde Chen, Yanbo Chong, Shangming Chen
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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Keywords: species, Michaelis-Menten type feedback control, permanence, global attractivity
Pages: 512-519
DOI: 10.37394/23202.2023.22.51
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 22, 2023, Art. #51