Year 2025,
Volume: 5 Issue: 1, 234 - 256, 31.03.2025
Amit Thakuria
,
Anshuman Mridul Sharma
,
Nainvi Chothwani
Arkaprovo Chakraborty
,
Pundikala Veeresha
References
-
[1] Unni, J. Impact of COVID-19 on informal economy: The revival. The Indian Journal of Labour Economics, 63, 113-118, (2020).
-
[2] Gururaja, B.L. and Ranjitha, N. Socio-economic impact of COVID-19 on the informal sector in India. Contemporary Social Science, 17(2), 173-190, (2022).
-
[3] Wikipedia, Economic impact of the COVID-19 pandemic in India, (2020). https://en.wikip edia.org/wiki/Economic_impact_of_the_COVID-19_pandemic_in_India#:~:text=The%2 0Indian%20economy%20was%20expected,declared%20following%20the%20coronavirus%20 outbreak.
-
[4] Ouaziz, S.I. and El Khomssi, M. Mathematical approaches to controlling COVID-19: optimal control and financial benefits. Mathematical Modelling and Numerical Simulation with Applications, 4(1), 1-36, (2024).
-
[5] Boulaaras, S., Yavuz, M., Alrashedi, Y., Bahramand, S. and Jan, R. Modeling the co-dynamics of vector-borne infections with the application of optimal control theory. Discrete and Continuous Dynamical Systems-S, 18(5), 1331-1352, (2025).
-
[6] Mani, D.N.P., Shanmugam, M., Yavuz, M. and Muthuradhinam, S. Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect. Journal of Applied Mathematics and Computing, 1-25, (2025).
-
[7] Işık, E. and Daşbaşı, B. A compartmental fractional-order mobbing model and the determination of its parameters. Bulletin of Biomathematics, 1(2), 153-176, (2023).
-
[8] Chakraborty, I. and Maity, P. COVID-19 outbreak: Migration, effects on society, global environment and prevention. Science of the Total Environment, 728, 138882, (2020).
-
[9] Gunerhan, H., Rezazadeh, H., Adel, W., Hatami, M., Sagayam, K.M., Emadifar, H. et al. Analytical approximate solution of fractional order smoking epidemic model. Advances in Mechanical Engineering, 14(9), 1-11, (2022).
-
[10] Singh, A.K. and Misra, A. Impact of COVID-19 and comorbidities on health and economics: Focus on developing countries and India. Diabetes & Metabolic Syndrome: Clinical Research & Reviews, 14(6), 1625-1630, (2020).
-
[11] Srivastava, H.M. and Günerhan, H. Analytical and approximate solutions of fractional-order susceptible-infected-recovered epidemic model of childhood disease. Mathematical Methods in the Applied Sciences, 42(3), 935-941, (2019).
-
[12] Jha, S., Pandey, B.K., Pandey, D., Singh, R., Jha, B., Jha, S. et al. Impact of corona virus, preventive government policies and public awareness strategies: an Indian perspective. Biochemical & Cellular Archives, 23(1), 1-24, (2023).
-
[13] Adel, W., Günerhan, H., Nisar, K.S., Agarwal, P. and El-Mesady, A. Designing a novel fractional order mathematical model for COVID-19 incorporating lockdown measures. Scientific Reports, 14, 2926, (2024).
-
[14] Iskandar, D. and Tiong, O.C. The application of the Runge-Kutta Fourth Order Method in SIR Model for simulation of COVID-19 Cases. Proceedings of Science and Mathematics, 10, 61-70, (2022).
-
[15] Veeresha, P. A numerical approach to the coupled atmospheric ocean model using a fractional operator. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 1-10, (2021).
-
[16] Katz, L. Long-term Unemployment in the Great Recession. EPRN: Ruanda, (2015).
-
[17] Press, W.H. Numerical Recipes 3rd Edition: The Art of Scientific Computing. Cambridge University Press: Cambridge, (2007).
-
[18] Centre for Monitoring Indian Economy, Unemployment Rate in Urban India, (2020).
-
[19] Dormand, J.R. and Prince, P.J. A family of embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics, 6(1), 19-26, (1980).
-
[20] Atkeson, A. What will be the economic impact of COVID-19 in the US? Rough estimates of disease scenarios. National Bureau of Economic Research, 26867, (2020).
-
[21] Van Bergeijk, P.A. Pandemic Economics. Edward Elgar Publishing: England, (2021).
-
[22] Matignon, D. Stability results for fractional differential equations with applications to control processing. In Computational Engineering in Systems Applications (pp. 963-968). Paris, France: (1996).
-
[23] Li, H.L., Zhang, L., Hu, C., Jiang, Y.L. and Teng, Z. Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge. Journal of Applied Mathematics and Computing, 54, 435-449, (2017).
-
[24] Kudryashov, N.A., Chmykhov, M.A. and Vigdorowitsch, M. Analytical features of the SIR model and their applications to COVID-19. Applied Mathematical Modelling, 90, 466-473, (2021).
-
[25] Liu, T., Huang, J., He, Z., Zhang, Y., Yan, N., Zhang, C.J. and Ming, W.K. A real-world data validation of the value of early-stage SIR modelling to public health. Scientific Reports, 13, 9164, (2023).
-
[26] Nakamura, G., Grammaticos, B. and Badoual, M. Vaccination strategies for a seasonal epidemic: a simple SIR model. Open Communications in Nonlinear Mathematical Physics, 1, 20-40, (2021).
-
[27] O’Regan, S.M. and Drake, J.M. Theory of early warning signals of disease emergence and leading indicators of elimination. Theoretical Ecology, 6, 333-357, (2013).
-
[28] Priyadarshini, P. and Veeresha, P. Analysis of models describing thermocline depth-ocean temperature and dissolved oxygen concentration in the ocean-plankton community. Waves in Random and Complex Media, 1-25, (2023).
-
[29] DWIH New Delhi, Healthcare in India - Status, Challenges and Opportunities, (2021). https: //pib.gov.in/PressNoteDetails.aspx?ModuleId=3&NoteId=153237&utm=®=3&lang=1
-
[30] Trade Promotion Council of India, Ephemeral Spike in Demand in India’s Food Sector Owing to Covid-19: TPCI, (2020). https://www.tpci.in/press_release/ephemeral-spike-in-d emand-in-indias-food-sector-owing-to-covid-19-tpci/
-
[31] Varshney, D., Kumar, A., Mishra, A.K., Rashid, S. and Joshi, P.K. India’s COVID-19 social assistance package and its impact on the agriculture sector. Agricultural Systems, 189, 103049, (2021).
-
[32] Assaf, A. and Scuderi, R. COVID-19 and the recovery of the tourism industry. Tourism Economics, 26(5), 731-733, (2020).
-
[33] Yu, F., Du, L., Ojcius, D.M., Pan, C. and Jiang, S. Measures for diagnosing and treating infections by a novel coronavirus responsible for a pneumonia outbreak originating in Wuhan, China. Microbes and Infection, 22(2), 74-79, (2020).
-
[34] Prachowny, M.F. Okun’s law: theoretical foundations and revised estimates. The Review of Economics and Statistics, 75(2), 331-336, (1993).
-
[35] Wen, Y. and Chen, M. Okun’s law: a meaningful guide for monetary policy? Economic Synopses, 2012(15), (2012).
-
[36] Press Information Bureau, Government of India Ministry of Commerce & Industry, (2021). https://pib.gov.in/Pressreleaseshare.aspx?PRID=1684674&utm
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[37] Economic and Political Weekly, India’s COVID-19 Social Assistance Package, (2021). https: //www.india.gov.in/pm-garib-kalyan-yojana-pmgky?utm
Economic resilience in the face of pandemic: a holistic mathematical analysis of the pandemic in India
Year 2025,
Volume: 5 Issue: 1, 234 - 256, 31.03.2025
Amit Thakuria
,
Anshuman Mridul Sharma
,
Nainvi Chothwani
Arkaprovo Chakraborty
,
Pundikala Veeresha
Abstract
COVID-19 was initiated in 2020 and caused an immediate threat to global countries in terms of both economic and health influences. In this present work, we extend the Susceptible-Infected-Recovered (SIR) model by considering two new variables, gross domestic product or GDP ($G$) and unemployment ($U$), to study the impact of this epidemic on the Indian economy during the $2020–2023$ period. Since our extended SIR model includes two novel compartments, which are GDP and unemployment rate, we can now explore in more detail the sophisticated relationship between health and economic matters. The framework allows us to investigate the following consequences: how changes in the infection rate affect the economy and how changes in GDP and unemployment translate into the spread of this contagion. These visualizations are based on real-time quarterly data and provide full knowledge of the interaction between health and economic dynamics during the COVID-19 crisis in India. Government initiatives and regulations are also reviewed for their efficiency to contain the virus while taming the economic cost. Real-world results are contrasted with the care to find the strengths and weaknesses of the policies that come out with the underlying assumptions in the model. This paper, in other words, deploys an in-depth analysis of the convoluted links between economics, policy, and public health in the face of a pandemic with a geographic focus in India.
References
-
[1] Unni, J. Impact of COVID-19 on informal economy: The revival. The Indian Journal of Labour Economics, 63, 113-118, (2020).
-
[2] Gururaja, B.L. and Ranjitha, N. Socio-economic impact of COVID-19 on the informal sector in India. Contemporary Social Science, 17(2), 173-190, (2022).
-
[3] Wikipedia, Economic impact of the COVID-19 pandemic in India, (2020). https://en.wikip edia.org/wiki/Economic_impact_of_the_COVID-19_pandemic_in_India#:~:text=The%2 0Indian%20economy%20was%20expected,declared%20following%20the%20coronavirus%20 outbreak.
-
[4] Ouaziz, S.I. and El Khomssi, M. Mathematical approaches to controlling COVID-19: optimal control and financial benefits. Mathematical Modelling and Numerical Simulation with Applications, 4(1), 1-36, (2024).
-
[5] Boulaaras, S., Yavuz, M., Alrashedi, Y., Bahramand, S. and Jan, R. Modeling the co-dynamics of vector-borne infections with the application of optimal control theory. Discrete and Continuous Dynamical Systems-S, 18(5), 1331-1352, (2025).
-
[6] Mani, D.N.P., Shanmugam, M., Yavuz, M. and Muthuradhinam, S. Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect. Journal of Applied Mathematics and Computing, 1-25, (2025).
-
[7] Işık, E. and Daşbaşı, B. A compartmental fractional-order mobbing model and the determination of its parameters. Bulletin of Biomathematics, 1(2), 153-176, (2023).
-
[8] Chakraborty, I. and Maity, P. COVID-19 outbreak: Migration, effects on society, global environment and prevention. Science of the Total Environment, 728, 138882, (2020).
-
[9] Gunerhan, H., Rezazadeh, H., Adel, W., Hatami, M., Sagayam, K.M., Emadifar, H. et al. Analytical approximate solution of fractional order smoking epidemic model. Advances in Mechanical Engineering, 14(9), 1-11, (2022).
-
[10] Singh, A.K. and Misra, A. Impact of COVID-19 and comorbidities on health and economics: Focus on developing countries and India. Diabetes & Metabolic Syndrome: Clinical Research & Reviews, 14(6), 1625-1630, (2020).
-
[11] Srivastava, H.M. and Günerhan, H. Analytical and approximate solutions of fractional-order susceptible-infected-recovered epidemic model of childhood disease. Mathematical Methods in the Applied Sciences, 42(3), 935-941, (2019).
-
[12] Jha, S., Pandey, B.K., Pandey, D., Singh, R., Jha, B., Jha, S. et al. Impact of corona virus, preventive government policies and public awareness strategies: an Indian perspective. Biochemical & Cellular Archives, 23(1), 1-24, (2023).
-
[13] Adel, W., Günerhan, H., Nisar, K.S., Agarwal, P. and El-Mesady, A. Designing a novel fractional order mathematical model for COVID-19 incorporating lockdown measures. Scientific Reports, 14, 2926, (2024).
-
[14] Iskandar, D. and Tiong, O.C. The application of the Runge-Kutta Fourth Order Method in SIR Model for simulation of COVID-19 Cases. Proceedings of Science and Mathematics, 10, 61-70, (2022).
-
[15] Veeresha, P. A numerical approach to the coupled atmospheric ocean model using a fractional operator. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 1-10, (2021).
-
[16] Katz, L. Long-term Unemployment in the Great Recession. EPRN: Ruanda, (2015).
-
[17] Press, W.H. Numerical Recipes 3rd Edition: The Art of Scientific Computing. Cambridge University Press: Cambridge, (2007).
-
[18] Centre for Monitoring Indian Economy, Unemployment Rate in Urban India, (2020).
-
[19] Dormand, J.R. and Prince, P.J. A family of embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics, 6(1), 19-26, (1980).
-
[20] Atkeson, A. What will be the economic impact of COVID-19 in the US? Rough estimates of disease scenarios. National Bureau of Economic Research, 26867, (2020).
-
[21] Van Bergeijk, P.A. Pandemic Economics. Edward Elgar Publishing: England, (2021).
-
[22] Matignon, D. Stability results for fractional differential equations with applications to control processing. In Computational Engineering in Systems Applications (pp. 963-968). Paris, France: (1996).
-
[23] Li, H.L., Zhang, L., Hu, C., Jiang, Y.L. and Teng, Z. Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge. Journal of Applied Mathematics and Computing, 54, 435-449, (2017).
-
[24] Kudryashov, N.A., Chmykhov, M.A. and Vigdorowitsch, M. Analytical features of the SIR model and their applications to COVID-19. Applied Mathematical Modelling, 90, 466-473, (2021).
-
[25] Liu, T., Huang, J., He, Z., Zhang, Y., Yan, N., Zhang, C.J. and Ming, W.K. A real-world data validation of the value of early-stage SIR modelling to public health. Scientific Reports, 13, 9164, (2023).
-
[26] Nakamura, G., Grammaticos, B. and Badoual, M. Vaccination strategies for a seasonal epidemic: a simple SIR model. Open Communications in Nonlinear Mathematical Physics, 1, 20-40, (2021).
-
[27] O’Regan, S.M. and Drake, J.M. Theory of early warning signals of disease emergence and leading indicators of elimination. Theoretical Ecology, 6, 333-357, (2013).
-
[28] Priyadarshini, P. and Veeresha, P. Analysis of models describing thermocline depth-ocean temperature and dissolved oxygen concentration in the ocean-plankton community. Waves in Random and Complex Media, 1-25, (2023).
-
[29] DWIH New Delhi, Healthcare in India - Status, Challenges and Opportunities, (2021). https: //pib.gov.in/PressNoteDetails.aspx?ModuleId=3&NoteId=153237&utm=®=3&lang=1
-
[30] Trade Promotion Council of India, Ephemeral Spike in Demand in India’s Food Sector Owing to Covid-19: TPCI, (2020). https://www.tpci.in/press_release/ephemeral-spike-in-d emand-in-indias-food-sector-owing-to-covid-19-tpci/
-
[31] Varshney, D., Kumar, A., Mishra, A.K., Rashid, S. and Joshi, P.K. India’s COVID-19 social assistance package and its impact on the agriculture sector. Agricultural Systems, 189, 103049, (2021).
-
[32] Assaf, A. and Scuderi, R. COVID-19 and the recovery of the tourism industry. Tourism Economics, 26(5), 731-733, (2020).
-
[33] Yu, F., Du, L., Ojcius, D.M., Pan, C. and Jiang, S. Measures for diagnosing and treating infections by a novel coronavirus responsible for a pneumonia outbreak originating in Wuhan, China. Microbes and Infection, 22(2), 74-79, (2020).
-
[34] Prachowny, M.F. Okun’s law: theoretical foundations and revised estimates. The Review of Economics and Statistics, 75(2), 331-336, (1993).
-
[35] Wen, Y. and Chen, M. Okun’s law: a meaningful guide for monetary policy? Economic Synopses, 2012(15), (2012).
-
[36] Press Information Bureau, Government of India Ministry of Commerce & Industry, (2021). https://pib.gov.in/Pressreleaseshare.aspx?PRID=1684674&utm
-
[37] Economic and Political Weekly, India’s COVID-19 Social Assistance Package, (2021). https: //www.india.gov.in/pm-garib-kalyan-yojana-pmgky?utm