Feedback regulation of logistic growth
type: Item
instance of: scholarly article
title: Feedback regulation of logistic growth
zbMATH Open document ID: 0765.34058
DOI: 10.1155/S0161171293000213
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-03-15T00:00:00Z
full work available at URL: https://eudml.org/doc/46809
review text: The authors obtain sufficient conditions for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modeled by \({dn(t)\over dt}=rn(t)\left[1-\left({a_ 1n(t)+a_ 2n(t-\tau)\over K}\right)- cu(t)\right]\) \({du(t)\over dt}=-au(t)+bn(t-\tau)\). Here \(u\) denotes an indirect control variable, \(a_ 1\in[0,\infty)\) and \(r,a_ 2,\tau,a,b,c\in(0,\infty)\).
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 130450
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: regulated logistic growth
zbMATH Keywords: delay
zbMATH Keywords: state feedback
zbMATH Keywords: indirect control
author: K. Gopalsamy
author: Peixuan Weng
reviewed by: Sebastian Aniţa
MaRDI profile type: Publication
OpenAlex ID: W2102822724
description: scientific article; zbMATH DE number 130450