International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 177-192
doi:10.1155/S0161171293000213

Feedback regulation of logistic growth

K. Gopalsamy and Peixuan Weng

School of Infonmation Science and Technology, Flinders University, G.P.O. Box 2100, Adelaide 5001, Australia

Abstract

Sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modelled by dn(t)dt=rn(t)[1−(a1n(t)+a2n(t−τ)K)−cu(t)]dn(t)dt=−au(t)+bn(t−τ) where u denotes an indirect control variable, r,a2,τ,a,b,c∈(0,∞) and a1∈[0,∞).