@Article{CSIAM-LS-1-438,
author = {Duan , Xi-ChaoLi , Xi-NaLi , Xue-Zhi and Martcheva , Maia},
title = {Stability and Persistence of an Age Structured Epidemic Model with Mutation and Vaccination},
journal = {CSIAM Transactions  on Life Sciences},
year = {2025},
volume = {1},
number = {3},
pages = {438--465},
abstract = {<p style="text-align: justify;">In this paper, we propose an age-structured epidemic model with strain mutation and age-based vaccination. We define the reproduction numbers of both the original and mutant strains ($R_{0}^{1}$ and $R_{0}^{2}$). If the reproduction number $R_{0} &lt; 1$, the disease-free steady state is locally asymptotically stable. If the reproduction number $R_{0}^{2} &gt; 1$, there exists a dominant steady state of the mutant strain. Conditions for local stability of this dominant steady state are also obtained. If both reproduction numbers $R_{0}^{1}$ and $R_{0}^{2}$ are greater than 1, a coexistence steady state may occur. Finally, the uniform persistence of the disease described by our age-structured model is strictly proved when the reproduction number $R_{0}^{1} &gt; 1.$ By using the data of the COVID-19 epidemic in Wuhan and the theoretical results obtained in this paper, some numerical calculations are carried out to demonstrate the effect of the age-based vaccination strategy.</p>},
issn = {3006-2721},
doi = {https://doi.org/10.4208/csiam-ls.SO-2024-0010},
url = {http://global-sci.org/intro/article_detail/csiam-ls/24510.html}
}