David Gerberry, Hem Joshi, Mac Peloquin, Sonia Vargas
Abstract:
Respiratory illnesses pose a significant burden on public health,
causing numerous fatalities annually. Using the classical SEIR framework,
we model a general respiratory infection to investigate the interaction
between the disease's epidemiological dynamics and the dynamics of a
vaccine clinical trial. We develop a system to describe clinical trials
for a vaccine targeting a new respiratory infection.
We model the interplay between epidemiological dynamics and clinical trials,
establishing the relationship between these two systems.
We also explore the impact of vaccines becoming available to adults and
children at different times by dividing each epidemiological compartment into
two age-based categories: adults and children. We calculate the basic
reproductive number for the epidemiological model for each transmission
category (adults and children) and then determine an overall reproductive
number for the entire population. Additionally, we conduct numerical
simulations under various assumptions and present our findings.
Published August 20, 2024.
Math Subject Classifications: 34-11, 00A71, 92-10.
Key Words: Modeling; clinical trials; vaccine efficacy; reproductive number.
DOI: 10.58997/ejde.conf.27.g1
Show me the PDF file (423 K), TEX file for this article.
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David Gerberry Department of Mathematics Xavier University Cincinnati, OH 45207, USA email: david.gerberry@xavier.edu |
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Hem Joshi Department of Mathematics Xavier University Cincinnati, OH 45207, USA email: joshi@xavier.edu |
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Mac Peloquin Department of Mathematics Xavier University Cincinnati, OH 45207, USA email: peloquinj@xavier.edu |
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Sonia Vargas Department of Mathematics Xavier University Cincinnati, OH 45207, USA email: vargass2@xavier.edu |
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