Analysis of a patch epidemic model incorporating population migration and entry–exit screening

Author:

Li Yuhang1ORCID,Sun Yongzheng2,Liu Maoxing13ORCID

Affiliation:

1. School of Mathematics, North University of China 1 , Taiyuan 030051, China

2. School of Mathematics, China University of Mining and Technology 2 , Xuzhou 221008, China

3. College of Science, Beijing University of Civil Engineering and Architecture 3 , Beijing 102616, China

Abstract

This paper presents an SIQR patch model that combines population migration and entry–exit screening. The threshold for disease extinction is determined using the next-generation matrix method. By constructing the Lyapunov function, the global asymptotic stability of the disease-free equilibrium is demonstrated when R0 < 1. The local asymptotic stability of the endemic equilibrium is shown using the Hurwitz criterion, and it is found that the disease is uniformly persistent when R0 > 1. The influence of screening and migration on disease dynamics is discussed via numerical simulations. Our findings highlight the significance of the detection rate as a vital index in disease transmission and emphasize the effectiveness of screening strategies in preventing outbreaks. Therefore, during an outbreak, it is recommended to establish checkpoints in regions with high mobility to identify and isolate potentially infected individuals, thereby reducing the widespread dissemination of the pandemic.

Funder

National Nature Science Foundation of China

The High-Level Talent Introduction Support Project

Publisher

AIP Publishing

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