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Currently, there are several mathematical models that have been developed to understand the dynamics of COVID-19 infection. However, the difference in the sociocultural contexts between countries requires the specific adjustment of these estimates to each scenario. This article analyses the main elements used for the construction of models from epidemiological patterns, to describe the interaction, explain the dynamics of infection and recovery, and to predict possible scenarios that may arise with the introduction of public health measures such as social distancing and quarantines, specifically in the case of the pandemic unleashed by the new SARS-CoV-2/COVID-19 virus.


Comment: Mathematical models are highly relevant for making objective and effective decisions to control and eradicate the disease. These models used for COVID-19 have supported and will continue to provide information for the selection and implementation of programs and public policies that prevent associated complications, reduce the speed of the virus spread and minimize the occurrence of severe cases of the disease that may collapse health systems.

Luis Eduardo Bravo Ocaña, Universidad del Valle. Cali, Colombia

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Professor Emeritus of pathologyand Epidemiology at Universidad del Valle, Colombia for the last 25 years.

Director of the Population based Cancer Registry of Cali sice 2001, has dedicated his efforts to researching cancer , especially gastric cancer and its relationship with Helicobacter pylory.

Regional Representative of International Association of cancer Registries (IARCR) for Latin American. 2018-2022.

orcid_id14.png https://orcid.org/0000-0002-9708-0312

 

Rodrigo Guerrero, Universidad del Valle. Cali, Colombia

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MD graduated from the Universidad del Valle, Master in Epidemiology and PhD in Public Health from Harvard University. He is an expert in Violence Prevention. Elected mayor of Cali on two occasions. As a university professor, he has held various administrative positions such as Dean of the Faculty of Health and Rector of Universidad del Valle. He was Director of the Hospital Universitario del Valle. and director of the Carvajal Foundation. He has been a Consultant on multiple occasions at the World Health Organization, the World Bank and the Inter-American Development Bank and other international organizations. Founding member of VallenPaz, an NGO dedicated to rural development in conflict areas.

  orcid_id13.png https://orcid.org/0000-0002-4683-7987

Julián Santaella-Tenorio, Universidad del Valle. Cali, Colombia. Universidad Javeriana, Cali

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Veterinary doctor with master's and doctorate studies in epidemiology. Julian has worked in research on transmission of infectious agents from animals to humans. In the last 10 years, he has investigated the prevention of violence and injuries, mental health and the consumption of psychoactive substances in the population. He is currently a professor and coordinator of the Master of Clinical Epidemiology at the Universidad Javeriana, professor at the School of Public Health at the Universidad del Valle and consultant to the Center for Opioid Epidemiology and Policy at NYU Langone 

AAA_orcid_id69.png https://orcid.org/0000-0003-3060-5994

 
Grillo Ardila, E. K., Bravo Ocaña, L. E., Guerrero, R., & Santaella-Tenorio, J. (2020). Mathematical models and the coronavirus, COVID-19. Colombia Medica, 51(2), e–4277. https://doi.org/10.25100/cm.v51i2.4277

Casals M, Guzmán K, Caylà JA. Modelos matemáticos utilizados en el estudio de las enfermedades transmisibles. Rev Esp Salud Publica. 2009;83(5):689-95. https://doi.org/10.1590/S1135-57272009000500010

Montesinos-López OA, Hernández-Suárez CM. Modelos matemáticos para enfermedades infecciosas. Salud Publica Mex. 2007;49(3):218-26. https://doi.org/10.1590/S0036-36342007000300007

Bernoulli D, Blower S. An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it. Rev Med Virol. 2004;14(5):275-88. https://doi.org/10.1002/rmv.443

Ivorra B. Application of the Be-CoDiS mathematical model to forecast the international spread of the 2019-20 Wuhan coronavirus outbreak Modelling and design of microfluidic devices View project Global optimization methods for industrial problems View project. 2020;(February). Available from: http://www.mat.ucm.es/~ivorra/softbecodis.htm

González-jaramillo V, González-jaramillo N, Gómez-restrepo C, Palacio-acosta CA, Gómez-lópez A, Franco OH. Proyecciones de impacto de la pandemia COVID-19 en la población colombiana, según medidas de mitigación. Datos preliminares de modelos epidemiológicos para el periodo del 18 de marzo al 18 de abril de 2020. Rev Salud Pública. 2020;22:1-6.

Bayham J, Fenichel EP. The Impact of School Closure for COVID-19 on the US Healthcare Workforce and the Net Mortality Effects. SSRN Electron J [Internet]. 2020;2667(20):1-8. Available from: http://dx.doi.org/10.1016/S2468-2667(20)30082-7

Arenas A, Cota W, Gomez-Gardenes J, Gómez S, Granell C, Matamalas JT, et al. A mathematical model for the spatiotemporal epidemic spreading of COVID19. medRxiv. https://doi.org/10.1101/2020.03.21.20040022

Enserink M, Kupferschmidt K. With COVID-19, modeling takes on life and death importance. Science (80- ). 2020;367(6485):1414.2-1415. https://doi.org/10.1126/science.367.6485.1414-b

Li Q, Guan X, Wu P, Wang X, Zhou L, Tong Y, et al. Early Transmission Dynamics in Wuhan, China, of Novel Coronavirus-Infected Pneumonia. N Engl J Med. 2020;382(13):1199-207. https://doi.org/10.1056/NEJMoa2001316

Chen N, Zhou M, Dong X, Qu J, Gong F, Han Y, et al. Epidemiological and clinical characteristics of 99 cases of 2019 novel coronavirus pneumonia in Wuhan, China: a descriptive study. Lancet [Internet]. 2020;395(10223):507-13. Available from: http://dx.doi.org/10.1016/S0140-6736(20)30211-7

Fang L, Karakiulakis G, Roth M. Are patients with hypertension and diabetes mellitus at increased risk for COVID-19 infection? Lancet Respir Med [Internet]. 2020;2600(20):30116. Available from: http://dx.doi.org/10.1016/S2213-2600(20)30116-8

CDC COVID-19 Response Team. Preliminary Estimates of the Prevalence of Selected Underlying Health Conditions Among Patients with Coronavirus Disease 2019 - United States, February 12-March 28, 2020. MMWR Morb Mortal Wkly Rep [Internet]. 2020;69(13):382-6. Available from: http://www.ncbi.nlm.nih.gov/pubmed/32240123

KWOK KO, LAI F, WEI WI, WONG SYS, TANG J. Herd immunity - estimating the level required to halt the COVID-19 epidemics in affected countries. J Infect [Internet]. 2020; Available from: https://doi.org/10.1016/j.jinf.2020.03.027

Kowalski WJ. 2020 COVID-19 Coronavirus Ultraviolet Susceptibility 2020 COVID-19 Coronavirus Ultraviolet Susceptibility. 2020;(March).

WHO. World Health Organization. First data on stability and resistance of SARS coronavirus compiled by members of WHO laboratory network. 2020;8-10.

Chang L, Yan Y, Wang L. Coronavirus Disease 2019: Coronaviruses and Blood Safety. 2020;(January).

https://doi.org/10.1016/j.tmrv.2020.02.003

Wang X, Fang J, Zhu Y, Chen L, Ding F, Zhou R, et al. Clinical characteristics of non-critically ill patients with novel coronavirus infection (COVID-19) in a Fangcang Hospital. Clin Microbiol Infect [Internet]. 2020; Available from: https://doi.org/10.1016/j.cmi.2020.03.032

https://doi.org/10.1016/j.cmi.2020.03.032

Li C, Ji F, Wang L, Wang L, Hao J, Dai M, et al. Asymptomatic and Human-to-Human Transmission of SARS-CoV-2 in a 2-Family Cluster, Xuzhou, China. Emerg Infect Dis [Internet]. 2020;26(7). Available from: http://www.ncbi.nlm.nih.gov/pubmed/32228809. https://doi.org/10.3201/eid2607.200718

WHO. Laboratory testing for coronavirus disease 2019 (COVID-19) in suspected human cases. Interim Guid [Internet]. 2020;(March):1-7. Available from: https://www.who.int/publications-detail/laboratory-testing-for-2019-novel-coronavirus-in-suspected-human-cases-20200117

Cassaniti I, Novazzi F, Giardina F, Salivaro F, Sachs M, Perlini S, et al. Performance of VivaDiagTM COVID-19 IgM/IgG Rapid Test is inadequate for diagnosis of COVID-19 in acute patients referring to emergency room department. J Med Virol 2020 Mar 30. 2020; https://doi.org/10.1002/jmv.25800

Jin Y, Wang M, Zuo Z, Fan C, Ye F, Cai Z, et al. Diagnostic value and dynamic variance of serum antibody in coronavirus disease 2019. Int J Infect Dis [Internet]. 2020; Available from: http://www.ncbi.nlm.nih.gov/pubmed/32251798. https://doi.org/10.1016/j.ijid.2020.03.065

J. A. P. Heesterbeek. The concept of Ro in epidemic theory. Stat Neerl. 1996;50(1):89-110. https://doi.org/10.1111/j.1467-9574.1996.tb01482.x

Wu JT, Leung K, Bushman M, Kishore N, Niehus R, de Salazar PM, et al. Estimating clinical severity of COVID-19 from the transmission dynamics in Wuhan, China. Nat Med [Internet]. 2020; Available from: http://dx.doi.org/10.1038/s41591-020-0822-7

Sanche S, Lin YT, Xu C, Romero-Severson E, Hengartner N, Ke R. High Contagiousness and Rapid Spread of Severe Acute Respiratory Syndrome Coronavirus 2. CDC. 2020;26(7). https://doi.org/10.3201/eid2607.200282

Ng TC, Wen TH. Spatially Adjusted Time-varying Reproductive Numbers: Understanding the Geographical Expansion of Urban Dengue Outbreaks. Sci Rep. 2019;9(1):1-12. https://doi.org/10.1038/s41598-019-55574-0

Wallinga J, Lipsitch M. How generation intervals shape the relationship between growth rates and reproductive numbers. Proc R Soc B Biol Sci. 2007;274(1609):599-604. https://doi.org/10.1098/rspb.2006.3754

Chan KH, Peiris JSM, Lam SY, Poon LLM, Yuen KY, Seto WH. The effects of temperature and relative humidity on the viability of the SARS coronavirus. Adv Virol. 2011;2011. https://doi.org/10.1155/2011/734690

Wilder-Smith A, Freedman DO. Isolation, quarantine, social distancing and community containment: pivotal role for old-style public health measures in the novel coronavirus (2019-nCoV) outbreak. J Travel Med. 2020;27(2):1-4. https://doi.org/10.1093/jtm/taaa020

Ma QX, Shan H, Zhang HL, Li GM, Yang RM, Chen JM. Potential utilities of mask wearing and instant hand hygiene for fighting SARS-CoV-2. J Med Virol [Internet]. 2020; Available from: http://www.ncbi.nlm.nih.gov/pubmed/32232986. https://doi.org/10.1002/jmv.25805

Mark Doyle. Cómo el Covid-19 convirtió la noche soñada de Atalanta en la peor pesadilla de Bergamo [Internet]. 2020 [cited 2020 Apr 17]. p. 40. Available from: https://www.goal.com/es-co/noticias/como-el-covid-19-convirtio-la-noche-sonada-de-atalanta-en-la/ea8uq6exro1q1agby8z89c64f

Mizumoto K, Kagaya K, Zarebski A, Chowell G. Estimating the asymptomatic proportion of coronavirus disease 2019 (COVID-19) cases on board the Diamond Princess cruise ship, Yokohama, Japan, 2020. Euro Surveill. 2020;25(10):1-5. https://doi.org/10.2807/1560-7917.ES.2020.25.10.2000180

J R, H S, MD W-SA. COVID-19 outbreak on the Diamond Princess cruise ship: estimating the epidemic potential and effectiveness of public health countermeasures. 2020;

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Received 2020-04-08
Accepted 2020-05-13
Published 2020-05-14