Mathematical analysis for an age-structured SIRS epidemic model
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Publication:2160905
DOI10.3934/mbe.2019304zbMath1497.92291OpenAlexW2954136504WikidataQ93200800 ScholiaQ93200800MaRDI QIDQ2160905
Hisashi Inaba, Kento Okuwa, Toshikazu Kuniya
Publication date: 3 August 2022
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2019304
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Cites Work
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- On a new perspective of the basic reproduction number in heterogeneous environments
- The reinfection threshold
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Dynamics of acquired immunity boosted by exposure to infection
- An age-dependent epidemic model with application to measles
- Acquired immunity dependent upon exposure in an SIRS epidemic model
- Mathematical modeling of immunity to malaria
- Threshold and stability results for an age-structured epidemic model
- Qualitative analyses of communicable disease models
- Demography and epidemics
- An endemic model with variable re-infection rate and applications to influenza
- Disease extinction and disease persistence in age structured epidemic models.
- Analysis of a disease transmission model in a population with varying size
- The basic approach to age-structured population dynamics. Models, methods and numerics
- Mathematical analysis of an age-structured SIR epidemic model with vertical transmission
- On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
- Global Behavior of an Age-Structured Epidemic Model
- A practical approach to R0 in continuous‐time ecological models
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
- Age-Structured Population Dynamics in Demography and Epidemiology
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