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May 29, 2025
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Abstract

IT is public knowledge that the World Health Organization declared the COVID-19 outbreak a Public Health Emergency of International Concern on 30th January 2020 and a pandemic on 11th March of the same year. Its origination was traced to Wuhan in China. Till date, it has spread to around 222 countries in  the world, including India. One of the major causes of the snowballing increase in COVID-19 cases has been the scarcity of knowledge on the behavior of the new virus and the awareness regarding the basic preventive practices to be adopted by people during the preliminary days of the spread of the infection. The very 1st case in India was logged on 15th February 2020, and since then, the caseload of infected persons has snowballed to over 2.67cr only in India and 159.8 million cases worldwide, as recorded by the Worldometer. The spreading rate of COVID-19 version 2.0 has been phenomenal as compared to the version1.0. Countrywide complete and or partial lockdowns, followed by immediate isolation of infected persons, were the measures initiated by the authorities in order to contain the spread of the disease. The aim of the study is to suggest means to reduce the active cases and control the transmission risk and mortality rates. The research thus helps to calculate and predict the threshold value of the disease. In addition, the Environmental Impact Assessment Tool (EIAT) was used to perform the sensitivity analysis to determine the robustness of the assessment by examining the extent of the evolution and impacts of the pandemic in the country. The constructed control model introduced five control variables as the backbone of the adopted control strategies. The simulated results and analysis carried there upon give strong indication that quarantine and provision of timely and appropriate medical attention to the infected individuals will help reduce the number of critically infected cases to a considerably low level, which will further arrest transmission rate, mortality and active ceases in India.

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How to Cite
Sahoo, C. K., Paul, K. C., & Mishra, N. (2025). A Compartmental Mathematical Model for Examining Transmission data of COVID-19 Pandemic in India. International Journal of Multidisciplinary: Applied Business and Education Research, 6(5), 2658-2670. https://doi.org/10.11594/ijmaber.06.05.39

References

Ana Catarina Pêgo, Illyane Sofia Lima and Raf-faella Gozzelino, covid 2024 ,4(2),170-190; https://doi.org/10.3390/covid4020014
Chen, Y., Cheng, J., Jiang, Y., & Liu, K. (2020). A time delay dynamic system with an ex-ternal source for the local Outbreak of 2019-nCoV. Applicable Analysis, 1-12. https://doi.org/10.1080/00036811.2020.1732357
Cheng, Z. J., & Shan, J. (2020). 2019 Novel coronavirus: where we are and what we know. Infection, 1-9. DOI: 10.1007/s15010-020-01401-y
Crokidakis, N. (2020), Data analysis and mod-eling of the evolution of COVID-19 in Bra-zil, arXiv:2003.12150 (2020). https://www.researchgate.net/publication/340270886
Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. (1990). On the definition and the com-putation of the basic Reproduction ratio R0 in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology, 28 (4), 365-382. https://link.springer.com/article/10.1007/BF00178324
Driessche, P.; Watmough, J.; Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Bio-sciences.180(1) (2002), 29-48. https://doi.org/10.1016/S0025-5564(02)00108-6
https://www.worldometers.info/coronavirus/country/india// [Last accessed on 23.05.2021].
https://www.mohfw.gov.in/[ Last accessed on 23.05.2021]
Janet O. Agbaje, Oluwatosin Babasola,Kabiru Michael Adeyemo,Abraham Baba Zhiri,Aanuoluwapo Joshua Adi-gun,Samuel Adefisoye Lawal,Oluwole Adegoke Nuga,Roseline Toyin Abah,Umar Muhammad Adam and Kayode Oshinubi COVID 2024, 4(2), 289-316; https://doi.org/10.3390/covid4020020
Khot, W. Y., & Nadkar, M. Y. (2020). The 2019 Novel Corona virus Outbreak–A Global Threat. J Assoc Physicians India, 68(3), 67-71. https://pubmed.ncbi.nlm.nih.gov/32138488/
Li Q., Guan X., Wu P., Wang X, Zhou L., Tong Y. (2020) Early transmission Dynamics in Wuhan, China, of Novel Corona Virus-Infected Pneumonia. N Engl J Med. DOI: 10.1056/NEJMoa2001316
OluwatobiBanjo, Kazeem A. Adeleke, Peter I. Ogunyinka, Dawud Adebayo Agunbiade (2021) “Survey data on the knowledge, attitudes and practices of Nigerians to-wards the prevention and spread of COVID-19 during the lockdown period in Nigeria.” Africa Journal of Sustainable Development (AJSD). doi: 10.1016/j.dib.2021.107074

Pedersen, M.G. and Meneghini, M., (2020) Quantifying undetected COVID-19 cases and effects of Containment measures in Italy, preprint 2020, available online at https://www.researchgate.net/publication/339915690.
Q. Li, X. Guan, P. Wu, et al.Early transmission dynamics in Wuhan, China, of novel coronavirus-infected pneumoniaN Engl J Med, 29 (2020), 10.1056/NEJMoa2001316
Singh, R. and Adhikari, R. (2020). Age-structured impact of social distancing on the COVID-19 epidemic in India (2020). arXiv:2003.12055v1
Tang, B., Wang, X., Li, Q., Bragazzi, N. L., Tang, S., Xiao, Y., & Wu, J. (2020). Estimation of the transmission risk of the 2019-nCoV and its implication for public health in-terventions. Journal of Clinical Medicine, 9(2), 462. Doi: 10.3390/jcm9020462
Thevarajan, I., Nguyen, T. H., Koutsakos, M., Druce, J., Caly, L., van de Sandt, C. E.& Tong, S. Y. (2020). Breadth of concomi-tant immune responses before patient re-covery: a case report of non-severe COVID-19. Nature Medicine, 1-3. https://www.nature.com/articles/s41591-020-0819-2
Tiwari Alok “Modelling and analysis of COVID-19 epidemic in In-dia”https://doi.org/10.1101/2020.04.12.20062794,(2020)
Verma, M.K., Asad, A. and Chatterjee, S. (2020) COVID-19 epidemic: Power law spread and flattening of the curve, preprint 2020, https://doi.org/10.1101/2020.04.02.20051680
World Health Organization. Corona virus dis-ease 2019 (COVID-19): Situation report, 51, (2020) https://apps.who.int/iris/handle/10665/331475
Wu, J. T., Leung, K., & Leung, G. M. (2020) Now casting and forecasting the potential do-mestic and international spread of the 2019-nCoV outbreak originating in Wu-han, (2020). China: a modeling study. The Lancet, 395(10225), 689-697. https://doi.org/10.1016/S0140-6736(20)30260-9

Yang, C., & Wang, J. (2020). A mathematical model for the novel corona virus epidem-ic in Wuhan China. Mathematical Biosci-ences and Engineering, 17(3), 2708-2724. DOI: 10.3934/mbe.2020148
Zhao, Z., Zhu, Y. Z., Xu, J. W., Hu, Q. Q., Lei, Z., Rui, J., Liu, X., Wang, Y., Luo, L. Yu, S.S. & Li, J. (2020). A mathematical model for estimating the age-specific transmissibil-ity of a novel coronavirus. MedRxiv. Doi: https://doi.org/10.1101/2020.03.05.20031849
Zhong, L., Mu, L., Li, J., Wang, J., Yin, Z., & Liu, D. (2020). Early Prediction of the 2019 Novel Corona virus Outbreak in Mainland China based on Simple Mathematical Model. IEEE Access, 51761 - 51769. DOI: 10.1109/ACCESS.2020.2979599