ArticleScientific reports2024
Assessing vaccine efficacy for infectious diseases with variable immunity using a mathematical model.
Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
2 citing papers in PubMed.
- Mathematical Model Analysis for the Transmission Dynamics of Wheat Yellow Rust Disease: In Case of Melga Woreda, Sidama Regional State, Ethiopia.Scientific reports · 2026Article
- A dynamically consistent discrete-time model for monkeypox transmission with implications for quarantine policies.BMC public health · 2026Article
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Authors and funding
1 author.
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Abstract
This study introduces an SIRS compartmental mathematical model encompassing vaccination and variable immunity periods for infectious diseases. I derive a basic reproduction number formula and assess the local and global stability of disease-free and the local stability of the endemic equilibria. I demonstrate that the basic reproduction number in the presence of a vaccine is highly sensitive to the rate of immunity loss, and even a slight reduction in this rate can significantly contribute to disease control. Additionally, I have derived a formula to calculate the critical efficacy period required for a vaccine to effectively manage and control the disease.The analysis conducted for the model suggests that increasing the vaccine's immunity duration (efficacy) decelerates disease dynamics, leading to reduced rates of reinfection and less severe disease outcomes. Furthermore, this delay contributes to a decrease in the basic reproduction number (
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