@article{CAO2024, 
author = {Zhiyuan CAO and Lihui GUO},
title = {The Stability of MSIR Epidemic Model with Natural Age and Infection-Age},
year = {2024},
journal = {Journal of Xinjiang University(Natural Science Edition in Chinese and English)},
volume = {41},
number = {4},
pages = {419-426},
keywords = {MSIR epidemic model, infection-age, equilibrium solution, existence},
url = {https://www.sciopen.com/article/10.13568/j.cnki.651094.651316.2023.11.16.0002},
doi = {10.13568/j.cnki.651094.651316.2023.11.16.0002},
abstract = {Assuming total population remains constant, this paper establishes a class of MSIR epidemic models with both natural age and infection-age and studies the stability of the equilibrium solutions of this model. Firstly, by normalizing the model and linearizing it at the disease-free equilibrium, demonstrating that when R1<1, the disease-free equilibrium is locally asymptotically stable. Subsequently, employing the method of characteristics for hyperbolic systems and Fatou's lemma, it is proven that when R1<1, the disease-free equilibrium is globally asymptotically stable. Finally, the existence of a unique endemic equilibrium solution is established using the intermediate value theorem when R1>1.}
}