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2021 | OriginalPaper | Chapter

3. Modeling the Spread of COVID-19 Among Doctors from the Asymptomatic Individuals

Authors : M. H. A. Biswas, A. K. Paul, M. S. Khatun, S. Mandal, S. Akter, M. A. Islam, M. R. Khatun, S. A. Samad

Published in: Mathematical Analysis for Transmission of COVID-19

Publisher: Springer Singapore

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Abstract

The present world is in dire straits due to the deadly SARS coronavirus-2 (CoV-2) outbreak, and the experts are trying heart and soul to discover any prevention and/or remedy. The people from all walks of life in the universe are fighting to defeat this novel coronavirus. In this case, doctors are in the front line fighters who have put themselves at a risk. In this paper, we have formulated a non-linear system of five differential equations of COVID-19 based on the tendency of doctors to be infected. The target of this study is to take a look at the transmission of COVID-19 from asymptomatic populations to the doctors. The model is analyzed with the determination of the basic reproduction number, equilibrium, and related stability analysis at both equilibrium points. The graph of the basic reproductive ratio for different parameters has been drawn to show the disease behavior. Finally, we have simulated our model numerically for visualizing the analytical findings. Our study shows that the asymptomatic population increases as the disease (COVID-19) transmission rate increases. The number of infected population increases with the infection rate. These increasing asymptomatic and infected populations lead the doctors to get infected by contacting with them. Thus, the whole medical service system is getting down over time.

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Nearly 600 US health care workers have died of COVID-19. abc News (2020). https://abcnews.go.com/Health/600-us-health-care-workers-died-covid-19/story?id=71132667. Last accessed 2020/06/8.

Coronavirus: Doctors’ mortality rate in Bangladesh ‘highest in the world’. United News of Bangladesh (UNB). https://unb.com.bd/category/Special/coronavirus-doctors-mortality-rate-in-bangladesh-highest-in-the-world/53378. Last accessed 2020/06/21.

Global: Health workers silenced, exposed and attacked. Amnesty International. https://www.amnesty.org/en/latest/news/2020/07/health-workers-rights-covid-report/. Last accessed 2020/07/13.

Biswas, M. H. A., Khatun, M. S., Paul, A. K., Khatun, M. R., Islam, M. A., Samad, S. A., & Ghosh, U. (2020). Modeling the effective control strategy for the transmission dynamics of global pandemic COVID-19. Preprint (2020). https://doi.org/10.1101/2020.04.22.20076158.

Sheffield, S., York, A., Swartwood, N., Bilinski, A., Williamson, A., & Fitzpatrick, M. (2020). Strict physical distancing may be more efficient: A mathematical argument for making the lockdowns count. Preprint (2020). https://doi.org/10.1101/2020.05.19.20107045

Bairagi, A. K., Masud, M., Kim, D. H., Munir, M. S., Nahid, A. A., Abedin, S. F., et al. (2020). Controlling the outbreak of COVID-19: A noncooperative game perspective. Preprint (2020). arxiv:2007.13305.

Chen, X., & Yu, B. (2020). First two months of the 2019 coronavirus disease (COVID-19) epidemic in China: Real time surveillance and evaluation with a second derivative model. Global Health Research and Policy, 5(7), 1–9. https://doi.org/10.1186/s41256-020-00137-4.CrossRef

Chen, N., Zhou, M., Dong, X., & Zhang, L. (2020). Epidemiological and clinical characteristics of 99 cases of 2019 novel coronavirus pneumonia in Wuhan, China: A descriptive study. The Lancet, 395(10223), 507–513.CrossRef

Sookaromdee, P., & Wiwanitkit, V. (2020). Imported cases of 2019-novel coronavirus (2019-nCoV) infections in Thailand: Mathematical modelling of the outbreak. Asian Pacific Journal of Tropical Medicine, 13(3), 139–140.CrossRef

10.

Zhao, S., Lin, Q., Ran, J., Musa, S. S., Yang, G., Wang, W., et al. (2020). Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak. International Journal of Infectious Diseases, 92, 214–217.CrossRef

11.

Ndairou, F., Area, I., Nieto, J. J., & Torres, D. F. M. (2020). Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Preprint (2020). arXiv:2004.10885v1.

12.

Aguilar, J. B., Faust, G. S., Westafer, M. L. M., & Gutierrez, J. B. (2020). Investigating the impact of asymptomatic carriers on COVID-19 transmission. Preprint (2020). https://doi.org/10.1101/2020.03.18.20037994.

13.

Carolina Garcia-Vidal, C., et al. (2020). Incidence of co-infections and superinfections in hospitalized patients with COVID-19: A retrospective cohort study. Clinical Microbiology and Infection. https://doi.org/10.1016/j.cmi.2020.07.041.CrossRef

14.

Casas-Rojo, J. M., et al. (2020). Clinical characteristics of patients hospitalized with COVID-19 in Spain: Results from the SEMI-COVID-19 registry. Revista Clinica Espanola. https://doi.org/10.1016/j.rce.2020.07.003.CrossRef

15.

Chitnis, N., Hyman, J. M., & Cushing, J. M. (2020). Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bulletin of Mathematical Biology, 70, 1272–1296. https://doi.org/10.1007/s11538-008-9299-0.MathSciNetCrossRefMATH

16.

Chen, T. M., Rui, J., Wang, Q., Zhao, Z., Cui, J., & Yin, L. (2020). A Mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infectious Diseases of Poverty, 9(24), 1–8. https://doi.org/10.1186/s40249-020-00640-3.CrossRef

17.

Huo, H. F., & Feng, L. X. (2012). Global stability of an epidemic model with incomplete treatment and vaccination. Discrete Dynamics in Nature and Society, 2012, 1–14. https://doi.org/10.1155/2012/530267.CrossRefMATH

18.

Kabir, M. H., Gani, M. O., Mandal, S., & Biswas, M. H. A. (2020). Modeling the dispersal effect to reduce the infection of COVID-19 in Bangladesh. Sensors International, 1, 100043. https://doi.org/10.1016/j.sintl.2020.100043.CrossRef

19.

Queen Elizabeth Hospital Birmingham COVID-19 airway team, safety and 30-day outcomes of tracheostomy for COVID-19: A prospective observational cohort study. British Journal of Anaesthesia. https://doi.org/10.1016/j.bja.2020.08.023.

20.

Magalhaesa, J. J. F. D., et al. (2020). Epidemiological and clinical characteristics of the first 557 successive patients with COVID-19 in Pernambuco state, Northeast Brazil. Travel Medicine and Infectious Disease, 38, 101884.CrossRef

21.

Melliani, S., Allaoui, A. E., & Chadli, L. S. (2020). A simple mathematical model for coronavirus (COVID-19). Discrete Dynamics in Nature and Society. Preprint (2020). https://doi.org/10.1101/2020.04.23.20076919.

22.

Nadeem, S. (2020). Coronavirus Covid-19: Available free literature provided by various companies. Journals and Organizations Around the World, 5(1), 7–13.

23.

Prompetchara, E., Ketloy, C., & Palaga, T. (2020). Immune responses in COVID-19 and potential vaccines: Lessons learned from SARS and MERS epidemic. Asian Pacific Journal of Allergy and Immunology, 38(1), 1–9. https://doi.org/10.12932/AP-200220-0772.CrossRef

24.

Safi, M. A., & Garba, S. M. (2012). Global stability analysis of SEIR model with Holling Type II incidence function. Computational and Mathematical Methods in Medicine, 2012(826052), 1–8. https://doi.org/10.1155/2012/826052.MathSciNetCrossRefMATH

25.

Xu, X., Chen, P., Wang, J., Feng, J., Zhou, H., Li, X., et al. (2020). Evolution of the novel coronavirus from the ongoing wuhan outbreak and modeling of its spike protein for risk of human transmission. Science China Life Sciences, 63, 457–460.CrossRef

26.

Zhang, J., Weili, W., Zhao, X., & Zhang, W. (2020). Recommended psychological crisis intervention response to the 2019 novel coronavirus pneumonia outbreak in China: A model of West China hospital. Precision Clinical Medicine, 3(1), 3–8.CrossRef

27.

Zhang, S., Diao, M., Wenbo, Y., Pei, L., Lin, Z., & Chen, D. (2020). Estimation of the reproductive number of novel coronavirus (COVID-19) and the probable outbreak size on the diamond princess cruise ship: A data-driven analysis. International Journal of Infectious Diseases, 93, 201–214.CrossRef

28.

Biswas, M. H. A., Haque, M. M., & Mallick, U. K. (2019). Optimal control strategy for the immunotherapeutic treatment of HIV infection with state constraint. Optimal Control, Applications and Methods, 40(3), 1–12.MathSciNetMATH

29.

Biswas, M. H. A., Paiva, L. T., & de Pinho, M. D. R. (2014). A SEIR model for control of infectious diseases with constraints. Mathematical Biosciences and Engineering, 11(4), 761–784.MathSciNetCrossRef

30.

Biswas, M. H. A. (2014). On the immunotherapy of HIV infections via optimal control with constraint. In Proceedings of the 18th International Mathematics Conference (pp. 51–54), Dhaka, 20–22 March 2014.

31.

Biswas, M. H. A. (2013). Necessary conditions for optimal control problems with state constraints: Theory and applications (Ph.D. thesis). Department of Electrical and Computer Engineering, Faculty of Engineering, University of Porto, Portugal.

32.

Biswas, M. H. A. (2012). Model and control strategy of the deadly Nipah Virus (NiV) infections in Bangladesh. Research & Reviews in BioSciences, 6(12), 370–377.

33.

Biswas, M. H. A. (2012). AIDS epidemic worldwide and the millennium development strategies: A light for lives. HIV and AIDS Review, 11(4), 87–94.CrossRef

34.

Biswas, M. H. A., Ara, M., Haque, M. N., & Rahman, M. A. (2011). Application of control theory in the efficient and sustainable forest management. International Journal of Scientific & Engineering Research, 2(3), 26–33.

35.

Khatun, M. S., & Biswas, M. H. A. (2020). Mathematical analysis and optimal control applied to the treatment of leukemia. Journal of Applied Mathematics and Computing, 64, 331–354. https://doi.org/10.1007/s12190-020-01357-0.MathSciNetCrossRef

36.

Khatun, M. S., & Biswas, M. H. A. (2020). Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence. Infectious Disease Modelling, 5, 91–110.CrossRef

37.

Khatun, M. S., & Biswas, M. H. A. (2019). Modeling the effect of adoptive T cell therapy for the treatment of leukemia. Computational and Mathematical Method, 2, e1069. https://doi.org/10.1002/cmm4.1069.MathSciNetCrossRef

38.

Driessche, P. V. D., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 29–48.MathSciNetCrossRef

Title: Modeling the Spread of COVID-19 Among Doctors from the Asymptomatic Individuals
Authors: M. H. A. Biswas
A. K. Paul
M. S. Khatun
S. Mandal
S. Akter
M. A. Islam
M. R. Khatun
S. A. Samad
Publisher: Springer Singapore
Book: Mathematical Analysis for Transmission of COVID-19
Print ISBN: 978-981-336-263-5

Electronic ISBN: 978-981-336-264-2

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-981-33-6264-2_3

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