An SEIV epidemic model for childhood diseases with partial permanent immunity

DOI10.1155/2015/420952zbMath1344.92151OpenAlexW1489753382WikidataQ41135056 ScholiaQ41135056MaRDI QIDQ308803

Mei Bai, Lishun Ren

Publication date: 6 September 2016

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/420952

zbMATH Keywords

basic reproduction numberasymptotical stability analysispartial permanent immunity

Mathematics Subject Classification ID

Epidemiology (92D30)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Analytical threshold and stability results on age-structured epidemic models with vaccination
• Permanence and the dynamics of biological systems
• Logarithmic norms and projections applied to linear differential systems
• A mathematical study of a model for childhood diseases with non-permanent immunity
• Dynamical models of tuberculosis and their applications
• Global stability for the SEIR model in epidemiology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects
• Stability on coupling SIR epidemic models with vaccination
• Systems of differential equations that are competitive or cooperative. VI: A localC^rClosing Lemma for 3-dimensional systems
• An unconditionally convergent discretizaton of the SEIR model
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