An age-structured epidemic model with boosting and waning of immune status

DOI10.3934/MBE.2021289OpenAlexW3175739051MaRDI QIDQ2092034

Toshikazu Kuniya, Hisashi Inaba, Kento Okuwa

Publication date: 2 November 2022

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

Full work available at URL: https://doi.org/10.3934/mbe.2021289

zbMATH Keywords

age-structurebasic reproduction numberepidemic modelAron modelboosting and waningimmunity clock

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

A mathematical model for tilapia lake virus transmission with waning immunity

Cites Work

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• Periodic solutions in an SIRWS model with immune boosting and cross-immunity
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
• Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
• Dynamics of acquired immunity boosted by exposure to infection
• Acquired immunity dependent upon exposure in an SIRS epidemic model
• Mathematical modeling of immunity to malaria
• Waning and boosting: on the dynamics of immune status
• A time since recovery model with varying rates of loss of immunity
• Mathematical analysis for an age-structured SIRS epidemic model
• The basic reproduction number \(R_0\) in time-heterogeneous environments
• Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
• Endemic threshold results in an age-duration-structured population model for HIV infection
• A Lyapunov–Schmidt method for detecting backward bifurcation in age-structured population models
• Lyapunov functional and global asymptotic stability for an infection-age model
• OPTIMAL CONTROL ANALYSIS OF A HUMAN–BOVINE SCHISTOSOMIASIS MODEL
• Epidemiological Consequences of Imperfect Vaccines for Immunizing Infections
• THE INFLUENCE OF INCREASING LIFE EXPECTANCY ON THE DYNAMICS OF SIRS SYSTEMS WITH IMMUNE BOOSTING
• Age-Structured Population Dynamics in Demography and Epidemiology
• AN EPIDEMIC MODEL STRUCTURED BY HOST IMMUNITY

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