ArticleJournal of mathematical biology2022
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection.
Article in Journal of mathematical biology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Stochastic SIRS models on networks: mean and variance of infection.Infectious Disease Modelling · 2025Article
- How Does Vaccine-Induced Immunity Compare to Infection-Acquired Immunity in the Dynamics of COVID-19?Pathogens (Basel, Switzerland) · 2025Article
- A game-theoretic model of rabies in domestic dogs with multiple voluntary preventive measures.Journal of mathematical biology · 2022Article
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2 authors.
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Abstract
Various vaccines have been approved for use to combat COVID-19 that offer imperfect immunity and could furthermore wane over time. We analyze the effect of vaccination in an SLIARS model with demography by adding a compartment for vaccinated individuals and considering disease-induced death, imperfect and waning vaccination protection as well as waning infections-acquired immunity. When analyzed as systems of ordinary differential equations, the model is proven to admit a backward bifurcation. A continuous time Markov chain (CTMC) version of the model is simulated numerically and compared to the results of branching process approximations. While the CTMC model detects the presence of the backward bifurcation, the branching process approximation does not. The special case of an SVIRS model is shown to have the same properties.
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