Education, Science, Technology, Innovation and Life
Open Access
Sign In

Study on Pneumonic Plague Based on Double SIR Model

Download as PDF

DOI: 10.23977/phpm.2021.010114 | Downloads: 10 | Views: 1535


Boyao Zhang 1


1 Beijing Royal School, Beijing, China

Corresponding Author

Boyao Zhang


Plague, also known as black plague, is caused by Yersinia bacteria. In order to provide better prevention and control measures for pneumonic plague, I explored the transmission rules of pneumonic plague and established the double SIR model of two-way infection based on the traditional SIR model by adding birth rate, death rate and infection rate between human and mouse and other parameter. In this article, the relationship of infection among different kinds of patients and mice was given and the numerical simulation was carried out on this basis. Finally, the role of the model in the epidemic situation is emphasized, such as providing theoretical significance for the transmission trend of pneumonic plague, and the shortcomings of this paper are also pointed out, such as the lack of data on pneumonic plague and the inability to carry out numerical simulation.


Infectious disease. SIR epidemic model. Double transmission. Matlab analysis


Boyao Zhang. Study on Pneumonic Plague Based on Double SIR Model. MEDS Public Health and Preventive Medicine (2021) 1: 77-85. DOI:


[1] KermackW, McKendrickA. A contribution to the mathematical theory of epidemic-s[J].Proceedings of the Royal Society of London. Series A, 1927, 115(772): 700-721
[2] Shi Yaolin." Dynamic stochastic model of SARS contagion spread." Chinese Science Bulletin 048.013(2003):1373-1377.
[3] L. Massin, et al. "Modelling Outbreak Control for Pneumonic Plague."
[4] Yang Yonghui, Li Weide, and Zhu Lingfeng." A Differential Epidemic Model and Analysis of Influenza A (H1N1). "(2011).
[5] Pu Zhaonian." Stability Analysis of a Class of SARS Epidemic Model." Journal of Lanzhou Technical College (2009).
[6] Green, A. , I. Piper , and D. Keep . "Microsimulation study of the release of pneumonic plague and smallpox on a synthetic civilian population." International Congress on Modelling & Simulation (2013).
[7] Stolerman, L. M. , D. Coombs , and S. Boatto . "SIR-Network Model and Its Application to Dengue Fever." SIAM Journal on Applied Mathematics 75.6 (2015) : 2581-2609.
[8] Li Wei." Mathematical Model of SARS Virus Transmission." Journal of Bijie Teachers College: General Edition (2004).
[9] Zhang Benhong. Parameter estimation of SIR infectious disease model and its application. Diss. Shandong University, 2018.
[10] Song Rui. Study on dynamic behavior of a kind of SIS model. Diss. Harbin Engineering University, 2019.
[11] Anning, H., Qiu, W., and Qi, H. "A mathematical model of epidemic transmission." Journal of Consumer Research, 2010, 157+209.
[12] Yuan Xupu. Dynamic analysis of several types of infectious disease models based on complex networks. Diss. Changsha University of Science and Technology, 2019.
[13] Xu Baochun." Research on SARS Infectious Diseases Based on SIR Model." Shandong University (2019).
[14] Yang Zhongtao. A mathematical model based on the mechanism of regulatory T cells inhibiting tumor immune response. Central China Normal University, 2019.
[15] Sen, Mdl , and A. Ibeas . "On a Sir Epidemic Model for the COVID-19 Pandemic and the Logistic Equation." Discrete Dynamics in Nature and Society 2020(2020).

Downloads: 2008
Visits: 90318

Sponsors, Associates, and Links

All published work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2016 - 2031 Clausius Scientific Press Inc. All Rights Reserved.