Branching Process to Model the SARS-COV-2 in the City of Bogotá
Abstract
The objective of the work is to implement a methodology for the description of the evolution of the SARS-CoV2 virus in the city of Bogotá. For this, a Galton Watson process is considered with two types of individuals: reported infected and unreported infected (asymptomatic). Only the daily statistics of Covid-19 cases reported by the Bogotá Health Secretariat are used to give a prediction of the mean value of the population contagious individuals. Finally, those individuals who arrive in Bogotá from other cities and even from other countries and who contribute to the spread of the virus are included in the model.
Keywords
Branching process, Estimation, Probability generating function, Mean contagion value, Forecast, Proportion.
References
- K. B. Athreya, P. E. Ney, and P. Ney. Branching processes. Courier Corporation, 2004.
- P. J. Brockwell and R. A. Davis. Time series: theory and methods. Springer science &
- business media, 2009.
- J.-P. Dion. Estimation of the variance of a branching process. The Annals of Statistics,
- pages 1183–1187, 1975.
- GOV.CO. Datos covid-19. urlhttps://www.datos.gov.co/Salud-y-Protecci-n-Social/Casospositivos-
- de-COVID-19-en-Colombia/gt2j-8ykr/data, 2020.
- C. Jacob. Branching processes: their role in epidemiology. International journal of environmental
- research and public health, 7(3):1186–1204, 2010. DOI: https://doi.org/10.3390/ijerph7031204
- H. Lin, X. Shi, L. Lausen, A. Zhang, H. He, S. Zha, and A. Smola. Dive into deep learning for
- natural language processing. In Proceedings of the 2019 Conference on Empirical Methods
- in Natural Language Processing and the 9th International Joint Conference on Natural
- Language Processing (EMNLP-IJCNLP): Tutorial Abstracts, 2019.
- F. Maaouia, A. Touati, et al. Identification of multitype branching processes. Annals of
- statistics, 33(6):2655–2694, 2005.
- J. Medhi. Stochastic processes. New Age International, 1994.
- M. Slavtchova-Bojkova. Branching processes modelling for coronavirus (covid’19)
- pandemic.In 13th International Conference on Information Systems and Grid Technologies, ISGT, volume 2020, page 2656, 2020.
- N. M. Yanev, V. K. Stoimenova, and D. V. Atanasov. Branching stochastic processes as
- models of covid-19 epidemic development. arXiv preprint arXiv:2004.14838, 2020.
- N. M. Yanev, V. K. Stoimenova, and D. V. Atanasov. Stochastic modeling and estimation
- of covid-19 population dynamics. arXiv preprint arXiv:2004.00941, 2020.