Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs

DOI10.3390/math6090147zbMath1404.92190OpenAlexW2888067336MaRDI QIDQ1634481

Toshikazu Kuniya

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6090147

zbMATH Keywords

stabilitybasic reproduction numberendemic equilibriumage structureSIR epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Uniqueness of the two functional coefficients in the population-model boundary conditions ⋮ Correction: ``Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs ⋮ Global stability analysis for a generalized delayed SIR model with vaccination and treatment ⋮ Age-structured SIR model for the spread of infectious diseases through indirect contacts

Cites Work

• Causes of backward bifurcations in some epidemiological models
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• SEIR epidemiological model with varying infectivity and infinite delay
• Threshold and stability results for an age-structured epidemic model
• Qualitative analyses of communicable disease models
• Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
• Multiple endemic states in age-structured \(SIR\) epidemic models
• Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
• Case and partnership reproduction numbers for a curable sexually transmitted infection
• A Short History of Mathematical Population Dynamics
• Global Behavior of an Age-Structured Epidemic Model
• Age-Structured Population Dynamics in Demography and Epidemiology
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