ArticleJournal of mathematical biology2015
Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting.
Article in Journal of mathematical biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed, 58 citations in OpenAlex.
- Bistability and complex bifurcation diagrams generated by waning and boosting of immunity.Journal of mathematical biology · 2025Article
- Optimal vaccination policy to prevent endemicity: a stochastic model.Journal of mathematical biology · 2024Article
- An immuno-epidemiological model with waning immunity after infection or vaccination.Journal of mathematical biology · 2024Article
- Effects of boosting and waning in highly exposed populations on dengue epidemic dynamics.Science translational medicine · 2023Article
- The dynamics of evolutionary rescue from a novel pathogen threat in a host metapopulation.Scientific reports · 2021Article
- Data-driven methods for present and future pandemics: Monitoring, modelling and managing.Annual reviews in control · 2021Review
- One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics.Acta applicandae mathematicae · 2021Article
- Immuno-epidemiology and pathophysiology of coronavirus disease 2019 (COVID-19).Journal of molecular medicine (Berlin, Germany) · 2020Review
- Modeling the waning and boosting of immunity from infection or vaccination.Journal of theoretical biology · 2020Article
- Infection severity across scales in multi-strain immuno-epidemiological Dengue model structured by host antibody level.Journal of mathematical biology · 2020Article
- A structured population model with diffusion in structure space.Journal of mathematical biology · 2018Article
- Infection-acquired versus vaccine-acquired immunity in an SIRWS model.Infectious Disease Modelling · 2018Article
- Waning Immunity Is Associated with Periodic Large Outbreaks of Mumps: A Mathematical Modeling Study of Scottish Data.Frontiers in physiology · 2017Article
- Toward Standardizing a Lexicon of Infectious Disease Modeling Terms.Frontiers in public health · 2016Review
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
When the body gets infected by a pathogen the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery the host might become susceptible again. Exposure to the pathogen in the environment boosts the immune system thus prolonging the time in which a recovered individual is immune. Such an interplay of within host processes and population dynamics poses significant challenges in rigorous mathematical modeling of immuno-epidemiology. We propose a framework to model SIRS dynamics, monitoring the immune status of individuals and including both waning immunity and immune system boosting. Our model is formulated as a system of two ordinary differential equations (ODEs) coupled with a PDE. After showing existence and uniqueness of a classical solution, we investigate the local and the global asymptotic stability of the unique disease-free stationary solution. Under particular assumptions on the general model, we can recover known examples such as large systems of ODEs for SIRWS dynamics, as well as SIRS with constant delay.
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