Feedback regulation of logistic growth
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 bydn(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,∞) anda1∈[0,∞).
Description
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