Studying the spread of infectious diseases in closed systems based on ordinary differential equations

Xinyu Chen; Tianyuan Wang; Junxi Guo; Andi Wang

doi:10.1117/12.2638853

17 May 2022 Studying the spread of infectious diseases in closed systems based on ordinary differential equations

Xinyu Chen, Tianyuan Wang, Junxi Guo, Andi Wang

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 1225911 (2022) https://doi.org/10.1117/12.2638853
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

In a closed system, there is an infectious disease that can spread from person to person multiple times and can be transmitted during the incubation period. There is only one infected person in the system at the beginning, with temporary immunity. In this paper, the state of the initial infected person is divided into three stages. In each stage, we establish SI model, SIR model and SIRS model to list ordinary differential equations, and discuss the changes in the number of patients in the closed system when the initial latent person is a public place worker or other personnel. In addition, we establish SEIRS model to analyze the protective effects of different protective measures taken by staff in closed systems.The research shows that the best effect is to do a good job of protection before infection and timely isolation after infection.

Citation Download Citation

Xinyu Chen, Tianyuan Wang, Junxi Guo, and Andi Wang "Studying the spread of infectious diseases in closed systems based on ordinary differential equations", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 1225911 (17 May 2022); https://doi.org/10.1117/12.2638853

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