Global stability of an SEIR epidemic model with vaccination

DOI10.1142/S1793524516500820zbMath1347.34121OpenAlexW2309379662MaRDI QIDQ2821157

Lili Wang, Rui Xu

Publication date: 16 September 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500820

zbMATH Keywords

global stabilitycompound matricesvaccinationSEIR epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

Study of fractional order SEIR epidemic model and effect of vaccination on the spread of COVID-19 ⋮ Determination of epidemic parameters from early phase fatality data: A case study of the 2009 A (H1N1) pandemic in Europe ⋮ Epidemic model with group mixing: stability and optimal control based on limited vaccination resources ⋮ Dynamical analysis of an age-structured SEIR model with relapse ⋮ A mathematical model of treatment and vaccination interventions of pneumococcal pneumonia infection dynamics

Cites Work

• Delay differential equations: with applications in population dynamics
• Global stability for the SEIR model in epidemiology
• Global dynamics of a SEIR model with varying total population size
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A delayed SIR epidemic model with saturation incidence and a constant infectious period
• An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine
• A Vaccination Model for Transmission Dynamics of Influenza

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