How to control the immigration of infectious individuals for a region?. (February 2019)

• Record Type: Journal Article
• Authors: Chen, Hebai; Zou, Lan
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 491
• Page End: 505
• Publication Date: 2019-02
• Subjects: Immigration -- Switching system -- Sliding set -- Closed orbit -- Global dynamics; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.018
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Immigration has contributed to the increase of certain infectious diseases in some regions. To inspect the impact of controlling immigration of infectious individuals on the transmission of infectious diseases in a region, we construct a basic SIR model with switching imported infectious population. There is no disease-free equilibrium and no basic reproduction number for this system. Based on the global dynamical analysis for the switching system, we know that a proper control of immigration of infectious individuals can control the infectious population for a region at a certain low level.