Analysing the Propagation of the Coronavirus Epidemic: The Case of Wuhan in Hubei Province, China
Abstract
The ongoing coronavirus epidemic, Covid-19, has spread across the world in matter of weeks, and has led to a global pandemic. The current study examines the propagation of Covid-19 in Wuhan, the epicentre of the outbreak, and Hubei Province in China, across which the spread was initially the fastest. The logistic model was used to analyse the propagation of the epidemic.
The results of the study suggest that the logistic model is an adequate model for explaining the propagation of the epidemic. The model gives projections for the limiting cumulative number of cases, cured/ discharged, and deaths. A more integrated approach is proposed for further studies, which would consider the number cured and number of deaths as subprocesses of the number of infected cases at any point of time, as a coupled system of differential equations.
References
Aarthee R, Ezhilmaran D. A Logistic Model for the Population of Virus Growth in Local Area Network.
International Journal of Pure and Applied Mathematics 2017; 115(9): 401-408.
Batista M. Estimation of the final size of the coronavirus epidemic by the logistic model.2020
Working Paper: https://www.medrxiv.org/content/10.1101/2020.02.16.20023606v2.full.pdf
Brown M, Christopher Cain C, Whitfield J, Ding E, Del Valle SY, Manore CA. Modelling Zika Virus Spread in
Colombia Using Google Search Queries and Logistic Power Models. 2018. Working Paper: https://www.
biorxiv.org/content/10.1101/365155v1.full.pdf
Büyüktahtakın E, des-Bordes E, Kıbış EY. A new epidemics-logistics model: Insights into controlling the
Ebola virus disease in West Africa. European Journal of Operational Research 2018; 265(3): 1046-1063.
Gambhir M, Bozio C, O’Hagan JJ, Uzicanin A, Johnson LE, Biggerstaff M et al. Infectious Disease Modelling
Methods as Tools for Informing Response to Novel Influenza Viruses of Unknown Pandemic Potential.
Clinical Infectious Diseases 2015; 60(Suppl): S11-S19.
Jia L, Li K, Jiang Y, Guo X, Zhao T. Prediction and analysis of Coronavirus Disease 2019. 2020 Working Paper:
https://arxiv.org/ftp/arxiv/papers/2003/2003.05447.pdf
Ma Y, Yang W, Zhao X. Solution of spread, prevention, cure and logistic methods for ebola virus infection
based on mathematical model. Proceedings of the 2016 International Conference on Economy, Management
and Education Technology held in Chongqing, China on May 2016; 28-29.
Wu K, Darcet D, Wang Q, Sornette D. Generalized logistic growth modelling of the COVID-19 outbreak
in 29 provinces in China and in the rest of the world. 2020. Working Paper: https://arxiv.org/ftp/arxiv/
papers/2003/2003.05681.pdf