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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关于川崎病发病机理的常微分方程模型的平衡点的整体稳定性

川崎病，也称为粘膜皮肤淋巴结综合征（MCLS），是一种自身免疫性疾病。在本文中，我们考虑了川崎病发病机理的常微分方程模型。在这个模型中，$∕$向后分叉。通过构造合适的Lyapunov函数并使用Lyapunov–LaSalle不变性原理，我们为无炎症因子的平衡和有炎症因子的平衡的全局稳定性建立了一些实际的充分条件。