A qualitative analysis of a model for the transmission of varicella-zoster virus

DOI10.1016/S0025-5564(02)00219-5zbMath1012.92025WikidataQ45729102 ScholiaQ45729102MaRDI QIDQ1873122

Matthew C. Schuette

Publication date: 19 May 2003

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

zbMATH Keywords

persistencebasic reproduction numberendemic equilibriumvaricella-zoster virus

Mathematics Subject Classification ID

Medical applications (general) (92C50) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

Related Items (8)

Epidemic dynamics model with delay and impulsive vaccination control base on variable population ⋮ An SEIRS epidemic model with two delays and pulse vaccination ⋮ Impulsive vaccination of an SEIRS model with time delay and varying total population size ⋮ On considering the influence of recovered individuals in disease propagations ⋮ Pulse vaccination of an SEIR epidemic model with time delay ⋮ Stability analysis of pine wilt disease model by periodic use of insecticides ⋮ Modeling the transmission dynamics of varicella in Hungary ⋮ Modeling COVID-19 in Cape Verde Islands -- an application of SIR model

Cites Work

• Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles
• Dynamic models of infectious diseases as regulators of population sizes
• An immunization model for a heterogeneous population
• Uniform persistence and flows near a closed positively invariant set
• Global dynamics of a SEIR model with varying total population size
• Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
• The Mathematics of Infectious Diseases
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