On global stability of the equilibria of an ordinary differential equation model of Kawasaki disease pathogenesis

DOI10.1016/j.aml.2020.106319zbMath1436.34046OpenAlexW3011911418WikidataQ115360791 ScholiaQ115360791MaRDI QIDQ1985408

Wanbiao Ma, Ke Guo, Rong Qiang

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106319

zbMATH Keywords

Lyapunov functionglobal stabilitybackward bifurcationforward bifurcationKawasaki disease

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (3)

Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis ⋮ Permanence and extinction for a nonautonomous Kawasaki disease model with time delays ⋮ Stationary distribution of a stochastic Kawasaki disease model with Markov switching

Cites Work

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• The differential equation model of pathogenesis of Kawasaki disease with theoretical analysis
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates

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