SOME REMARKS ON THE STABILITY OF CELL-TO-CELL SPREAD MODELS WITH DISTRIBUTED DELAYS

In this paper, we focus on the stability of some low-order distributed delay models describing cell-to-cell spread mechanisms in some well-mixed configuration. The stability analysis will be performed in the delay-parameter space defined by the mean delay and by the corresponding gap. We will explicitly compute the crossing frequency set, and the stability crossing curves by using a frequency-domain approach. An illustrative example encountered in HIV-1 infection will complete the presentation.