Global stability for non-monotone delay equations (with application to a model of blood cell production)

A set of sufficient conditions for the global stability of the positive equilibrium is established for a large class of non-monotone time-delayed differential equations by the method of fluctuations and the exponential ordering approach. Then these analytic results are applied to a mathematical model of white blood cell production. Numerical simulations are also presented to illustrate the global stability regions of parameters and the long-term behavior of solutions.