Details

Autor(en) / Beteiligte

• Guo, Song-bai
• Xue, Yu-ling
• Li, Xi-liang
• Zheng, Zuo-huan

Titel

A Novel Analysis Approach of Uniform Persistence for an Epidemic Model with Quarantine and Standard Incidence Rate

Ist Teil von

• Acta Mathematicae Applicatae Sinica, 2024, Vol.40 (3), p.695-707

Auflage

English series

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Inspired by the transmission characteristics of the Coronavirus disease 2019 (COVID-19), an epidemic model with quarantine and standard incidence rate is first developed, then a novel analysis approach is proposed for finding the ultimate lower bound of the number of infected individuals, which means that the epidemic is uniformly persistent if the control reproduction number ℛ c > 1 . This approach can be applied to the related biomathematical models, and some existing works can be improved by using that. In addition, the infection-free equilibrium V 0 of the model is locally asymptotically stable (LAS) if ℛ c < 1 and linearly stable if ℛ c = 1 ; while V 0 is unstable if ℛ c > 1 .