Abstract
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.
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