Feedback regulation of logistic growth

K. Gopalsamy and Pei-Xuan Weng

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-16

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 d n ( t ) d t = r n ( t ) [ 1 − ( a 1 n ( t ) + a 2 n ( t − τ ) K ) − c u ( t ) ] d n ( t ) d t = − a u ( t ) + b n ( t − τ ) where u denotes an indirect control variable, r , a 2 , τ , a , b , c ∈ ( 0 , ∞ ) and a 1 ∈ [ 0 , ∞ ) .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:587061

DOI: 10.1155/S0161171293000213

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