Analysis of a COVID-19 Epidemic Model with Seasonality

The statistics of COVID-19 cases exhibits seasonal fluctuations in many countries. In this paper, we propose a COVID-19 epidemic model with seasonality and define the basic reproduction number [Formula: see text] for the disease transmission. It is proved that the disease-free equilibrium is globall...

Descripción completa

Detalles Bibliográficos
Autores principales: Li, Zhimin, Zhang, Tailei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9651129/
https://www.ncbi.nlm.nih.gov/pubmed/36367626
http://dx.doi.org/10.1007/s11538-022-01105-4
Descripción
Sumario:The statistics of COVID-19 cases exhibits seasonal fluctuations in many countries. In this paper, we propose a COVID-19 epidemic model with seasonality and define the basic reproduction number [Formula: see text] for the disease transmission. It is proved that the disease-free equilibrium is globally asymptotically stable when [Formula: see text] , while the disease is uniformly persistent and there exists at least one positive periodic solution when [Formula: see text] . Numerically, we observe that there is a globally asymptotically stable positive periodic solution in the case of [Formula: see text] . Further, we conduct a case study of the COVID-19 transmission in the USA by using statistical data.

Ejemplares similares