A 3/2 stability result for a regulated logistic growth model

A sufficient condition is established for globally asymptotic stabilityof the positive equilibrium of a regulated logistic growth model with adelay in the state feedback. The result improves some existing criteria for thismodel. It is in a form that is related to the number $3/2$ and the couplingstrength, and thus, is comparable to the well-known $3/2$ condition for the uncontrolleddelayed logistic equation. The comparison seems to suggest thatthe mechanism of the control in this model might be inappropriate and newmechanism should be introduced.