COMPARATIVE ANALYSIS OF TRANSMISSIBILITY AND CASE FATALITY RATIO OF SARS, MERS AND COVID-19 VIA A MATHEMATICAL MODELING APPROACH
DOI:
https://doi.org/10.4314/jfas.v13i3.7Keywords:
Coronavirus; incubation period; infectivity; case fatality ratio; reproduction number.Abstract
Coronavirus epidemics emerged in the 1960s and the world has witnessed seven coronavirus outbreaks since then. Four of the coronaviruses instigate human influenza while the rest: Severe Acute Respiratory Syndrome Coronavirus (SARS-CoV), the Middle East Respiratory Syndrome Coronavirus (MERS-CoV) and Severe Acute Respiratory Syndrome Coronavirus-2 (SARS-CoV-2) trigger severe respiratory disorders (SARS, MERS and COVID-19 respectively). The etiology of SARS, MERS and COVID-19 are similar but their epidemiology, in terms of incubation period, infectivity, case fatality ratio and the serial interval differ. In an attempt to compare the infectivity and case fatality ratio of the diseases, a mathematical model was considered for each disease. The key epidemiological quantity, the basic reproduction number, was derived for each model to examine the transmission potential of each disease. The mortality rates for the diseases were also investigated by considering the global report of COVID-19 as of October 1 2020 together with the history of SARS and MERS. Results from the computations showed that COVID-19 had the highest transmission potential and at the same time the lowest case fatality ratio. It was also revealed that COVID-19 would have wrecked more havocs had its case fatality ratio was as high as that of MERS.
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References
Wikipedia Website. https://en.wikipedia.org/wiki/Coronavirus/.
Ngonghala C N, Iboi E, Eikenberry S, Scotch M, MacIntyre C R, Bonds M H and Gumel AB.
Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel coronavirus. Maths Biosci., 2020, 325, 108364
Al-Asuoad N, Alaswad S, Rong L and Shillor M. Biomath., 5, 2016; 1-12,
http://dx.doi.org/10.11145/j.biomath.2016.12.141
Cakir Z and Savas H B. Elec. J. Gen. Med., 7, 2020, 34-48,
https://doi.org/10.29333/ejgm/78612224-2236
Khan M A and Atangana A. Alexandra Eng. J., 3, 2020, 44-57,
https://doi.org/10.1016/j.aej.2020.02.033.
Naheed A, Singh M and Lucy D. Numerical study of SARS epidemic model with the
inclusion of diffusion in the system. Appl. Maths and Comput., 2014, 229, 480–498
Cao C, Chen W, Zheng S, Zhao J, Wang J and Cao W. Hindawi Publishing Corporation
BioMed Res Intl, http://dx.doi.org/10.1155/2016/7247983
Anderson R M, Fraser C, Ghani A C, Donnelly C A, Riley S, Ferguson N M, Leung G M,
Lam T H and Hedley A J. Phil. Trans. R. Soc. Lond. B (2004), 359, 2020, 1091-1105, DOI
1098/rstb.2004.1490
Bauch C T, Lloyd-Smith J O, Coffee M P and Galvani A P. Epidemiology, 16(6), 2005, 791-
, DOI: 10.1097/01.ede.0000181633.80269.4c
Naheed, A, Singh, M and Lucy, D. Effect of treatment on transmission dynamics of SARS
epidemic. HSOA J. of Infect and Non Infect Dis., 2016, 2(1), 1-11
Guanghong D, Chang L, Jianqiu G, Ling W, Ke C and Di Z. Chinese Science Bulletin,
(21), 2004, 2332-2338, DOI: 10.1360/04we0073
Stein R A. Int. J. Infect Dis., 12, 2011, 25-36, doi:10.1016/j.ijid.2010.06.020
Chang H-J. Chang BioMed Eng OnLine, 5, 2017, 66-75, DOI 10.1186/s12938‑017‑0370‑7
Tahir M, Ali Shah I S, Zaman G and Khan T. Prevention strategies for mathematical model
MERS-coronavirus with stability analysis and optimal control. J of Nanosci and Nanotech Appls,
, 3(1), 1-11
Eikenberry S E, Mancuso M, Iboi E, Phan T, Kostelich T E, Kuang Y and Gumel A B
To mask or not to mask: Modeling the potential for face mask use by the general public to curtail
the COVID-19 pandemic. Inf. Dis. Modeling, 2020, 5, 293–308
Kucharski A J, Russell T W, Diamond C, Liu Y, Edmunds J, Funk S, Eggo R M Sun F, Jit
M, Munday J D et al. Early dynamics of transmission and control of COVID-19: a mathematical
modeling study. The Lancet Infectious Diseases, 2020
Asian I, Demir M, Wise M G and Lenhart S. medRxiv preprint.
https://doi.org/10.1101/2020.04.11.20061952 [accessed 30 June 2020].
Liu Y, Gayle A A, Wilder-Smith A and Rocklv J. J. of Travel Med. 3, 2020, 67-79, doi:
1093/jtm/taaa021
Ivorra B, Ferrndez M R, Vela-Prez M and Ramos A M. Communi in Nonlinear Sci and
Numer Simula., 1, 2020, 108-116, https://doi.org/10.1016/j.cnsns.2020.10530.
Atangana A. Modeling the spread of COVID-19 with new fractal-fractional operators: can
the lockdown save mankind before vaccination? Chaos, Soliton& Fractals, 2020, 136, 109860
Gralinski L E and Menachery V D. Return of the coronavirus: 2019-nCoV. Viruses, 2020,
, 1-9
Aguilar J B, Faust G S M, Westafer L M and Gutierrez J B. Preprint,
doi:10.1101/2020.03.18.20037994
Xinmiao R, Liu Y, Huidi C and Meng F. Effect of delay in diagnosis on transmission of
COVID-19. Math Biosci and Engine., 2020, 17(2020), (mbe-17-03149),2725
Fang Y, Nie Y and Penny M. Transmission dynamics of the COVID-19 outbreak and
effectiveness of government interventions: a data-driven analysis. J. of Med. Virology, 2020,
(2020), 6-21
Chowell G, Abdirizak I, Lee S, Lee J, Jung E, Nishiura H and Viboud C. BMC Medicine, 3
, 6-15, DOI 10.1186/s12916-015-0450-0
Chen T-M, Rui J, Wang Q-P, Zhao Z-Y, Cui J-A and Yin L. Infect Dis of Poverty, 9, 2020,
-108, https://doi.org/10.1186/s40249-020-00640-3
Prompetchara E, Ketloy C and Palaga T. Asian Pacific Journal of Allergy and Immunology,
, 2020, 15-28, DOI 10.12932/AP-200220-0772
Mkhatshwa T P. Modeling super-spreading events for SARS. Unpublished M.A.
Dissertation, Marshall University, 2010. Retrieved on August 7, 2020 from
https://mds.marshall.edu/cgi/viewcontent.cgi?article=1737&context=etd&httpsredir=1&referer=
Yang C and Wang J. Math Biosci and Engine, 17(1), 2020, 2708-2724,
DOI: 10.3934/mbe.2020148
Brauer F and Wu J. Modeling SARS, West Nile virus, pandemic influenza and other
emerging infectious diseases: a Canadian team’s adventure. In Modeling and dynamics of infectious diseases, volume 11 of Ser. Contemp. Appl. Math. CAM. Beijing: Higher
Ed. Press, 2009, pp. 36-63.
Gumel AB. Using mathematics to understand and control the 2019 novel coronavirus
pandemic. This Day Live, May 3, 2020. Available at
https://www.thisdaylive.com/index.php/2020/05/03/using-mathematics-to-understand-and-control-the-2019-novel-coronavirus-pandemic/ [Accessed May 4, 2020].
Coronavirus Disease 2019 (COVID-19) – Africa CDC. Retrieved on September 5, 2020
from https://www.africacdc.org/covid-19/
Peak C M, Childs L M and Grad Y H. Comparing nonpharmaceutical interventions for
containing emerging epidemics. Proc Natl Acad Sci U S A, 2017, 114, 4023–4028
Cauchemez S, Fraser C, Van Kerkhove M D, Donnelly C A, Riley S, Rambaut A, et al.
Middle East respiratory syndrome coronavirus: quantification of the extent of the epidemic,
surveillance biases, and transmissibility. Lancet Infect Dis., 2014, 14, 50–56
World Health Organization. MERS situation update, January 2020. Retrieved May15,
from https://www.emro.who.int/health-topics/mers-cov/mers-outbreaks-html
Muhammad A S, Suliman K, Abeer K, Nadia B and Rabeea S. J. Advanced Res., 24, 2020,
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