Global asymptotic stability of a neutral Mackey–Glass model with time-varying delays

This study is devoted to the stability analysis of a neutral Mackey–Glass model involving multiple time-varying delays. By utilizing novel differential inequalities and the fluctuation lemma, sharp conditions are established to ensure the global asymptotic stability of the trivial equilibrium and positive equilibrium, respectively. These conditions comprehensively encompass the corresponding results for non-neutral equations. Specifically, two numerical examples are presented to validate the theoretical findings.