Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models

zbMath1362.92076MaRDI QIDQ2347611

Tsuyoshi Kajiwara, Toru Sasaki, Yasuhiro Takeuchi

Publication date: 5 June 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

stabilityordinary differential equationsLyapunov functionsimmunityinfectious diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

Global stability of a discrete virus dynamics model with diffusion and general infection function ⋮ Dynamics of a stochastic SIRS epidemic model with standard incidence and vaccination ⋮ Global stability of an age-structured infection model in vivo with two compartments and two routes ⋮ Lyapunov functionals for virus-immune models with infinite delay ⋮ Global properties and bifurcation analysis of an HIV-1 infection model with two target cells ⋮ Lyapunov functionals for multistrain models with infinite delay ⋮ Global stability for an age-structured multistrain virus dynamics model with humoral immunity ⋮ Global stability of an age-structured model for pathogen-immune interaction

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