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This paper considers global dynamics of a nonautonomous Kawasaki disease model with two time delays. We establish two important parameters R p and R e. It is shown that, (i) if R p > 1 , the model is permanent, and some explicit analytic expressions of ultimate lower bounds of any positive solution of the model are given; (ii) if R e < 1 , the model is globally attractive, and inflammatory factors will be eventually cleared. Our results extend and improve related works in the existing literature. [ABSTRACT FROM AUTHOR]

Kawasaki disease, also referred to as mucocutaneous lymph node syndrome (MCLS), is an autoimmune disease. In this paper, we consider an ordinary differential equation model of Kawasaki disease pathogenesis. In this model, there exhibits forward ∕ backward bifurcation. By constructing suitable Lyapunov functions and using Lyapunov–LaSalle invariance principle, we establish some practical sufficient conditions for the global stability of the inflammatory factors-free equilibrium and the inflammatory factors-existent equilibrium. [ABSTRACT FROM AUTHOR]