A nonlocal SIR epidemic problem with double free boundaries. (November 2022)

• Record Type: Journal Article
• Authors: Chen, Yujuan; Wang, Mingxin
• Is Part Of: Applied mathematics letters. Volume 133(2022)
• Publication Date: 2022-11
• Subjects: Nonlocal SIR model -- Free boundaries -- Spreading and vanishing; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108259
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper is concerned with a new nonlocal SIR epidemic model with double free boundaries. Our results show that the disease will spread if the basic reproduction number R 0 ( a − r b, ( − h 0, h 0 ) ) ≥ 1 ; whereas, when the basic reproduction number R 0 ( a − r b, ( − h 0, h 0 ) ) < 1, the disease will spread or not depending on the expanding ability μ of infected population.