A novel approach to determine negative (semi-)definiteness in applying Lyapunov direct method

DOI10.1016/j.aml.2022.108516OpenAlexW4310256108MaRDI QIDQ2677873

Jianquan Li, Xiaogang Liu, Yuming Chen, Pei-Jun Zhang

Publication date: 6 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108516

zbMATH Keywords

global stabilityepidemic modelendemic equilibriumLyapunov direct method

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Inequalities in real analysis (26Dxx)

Related Items (2)

An analytical approach to determining the coefficients in Lyapunov direct method: with application to an age-structured epidemiological model ⋮ An analytical approach of applying the Lyapunov direct method to polynomial differential systems with discrete time delays

Cites Work

• Global stability of an epidemic model with latent stage and vaccination
• Global stability for an epidemic model with applications to feline infectious peritonitis and tuberculosis
• An algebraic approach to proving the global stability of a class of epidemic models
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