Global stability of models of humoral immunity against multiple viral strains

DOI10.1080/17513750903180275zbMath1342.92110OpenAlexW1993800687WikidataQ51701345 ScholiaQ51701345MaRDI QIDQ3186312

Toru Sasaki, Toru Inoue, Tsuyoshi Kajiwara

Publication date: 9 August 2016

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750903180275

zbMATH Keywords

Lyapunov functionglobal stabilityLasalle's invariance principlemultiple strainshumoral immunity

Mathematics Subject Classification ID

Medical applications (general) (92C50) Medical epidemiology (92C60)

Related Items (11)

Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity ⋮ Global stability of HIV/HTLV co-infection model with CTL-mediated immunity ⋮ Stability of HTLV/HIV dual infection model with mitosis and latency ⋮ Lyapunov functionals for virus-immune models with infinite delay ⋮ Lyapunov functionals for multistrain models with infinite delay ⋮ Global dynamics in an age-structured HIV model with humoral immunity ⋮ Global properties for virus dynamics model with mitotic transmission and intracellular delay ⋮ Global dynamics of an age-structured in-host viral infection model with humoral immunity ⋮ A continuous phenotype space model of RNA virus evolution within a host ⋮ Global stability for an age-structured multistrain virus dynamics model with humoral immunity ⋮ Global stability of an age-structured model for pathogen-immune interaction

Cites Work

• Global properties of basic virus dynamics models
• Nonlinear oscillations in models of immune responses to persistent viruses
• Stability analysis of pathogen-immune interaction dynamics
• Global stability in a viral infection model with lytic and nonlytic immune responses
• Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle

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