MATHEMATICAL MODELS FOR COVID-19: A REVIEW ANALYSIS
DOI:
https://doi.org/10.29121/shodhkosh.v4.i2.2023.3801Abstract [English]
In the past century, the COVID-19 epidemic has caused a global health disaster never seen before. With its ever-expanding influence on the economy, society, and health, it is destined to rank among the worst worldwide calamities since the World Wars and the 1918 epidemic. This novel illness mostly spreads through human carriers, and it does so far more quickly than other flu viruses and coronaviruses that have previously been discovered. It will be difficult to eradicate this illness even with the development and distribution of vaccinations. It is critical to comprehend the virus's mode of transfer from one host to another as well as how future infection hotspots can be identified in order to save lives. A significant part in the ongoing dilemma has been played by mathematical models, which have influenced state policies and many of the global social distancing initiatives. In this paper, we summarize some of the key mathematical models that underpin the continuous preparation and reaction activities. These models vary in terms of their application, mathematical structure, and range.
References
Organization WH, et al.: Middle East respiratory syndrome coronavirus (MERS-CoV); 2019
Tahir, M.; Shah, S.I.A.; Zaman, G.; Khan, T.: Stability behaviour of mathematical model MERS corona virus spread in population. Filomat 33(12), 3947–3960 (2019) DOI: https://doi.org/10.2298/FIL1912947T
Parry, R.L.: Travel alert after eighth camel flu death. The Times Retrieved. 11 (2015)
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. New England Journal of Medicine. (2020)
Huang, C.; Wang, Y.; Li, X.; Ren, L.; Zhao, J.; Hu, Y.; et al.: Clinical features of patients infected with 2019 novel coronavirus in Wuhan, China. Lancet 395(10223), 497–506 (2020) DOI: https://doi.org/10.1016/S0140-6736(20)30183-5
Kucharski, A.J.; Russell, T.W.; Diamond, C.; Liu, Y.; Edmunds, J.; Funk, S.; et al. Early dynamics of transmission and control of COVID-19: a mathematical modelling study. The lancet infectious diseases. (2020) DOI: https://doi.org/10.1101/2020.01.31.20019901
Ndairou, F.; Area, I.; Nieto, J.J.; Torres, D.F.: Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Chaos Solitons Fractals 135, 109846 (2020) DOI: https://doi.org/10.1016/j.chaos.2020.109846
Vytla, V., Ramakuri, S. K., Peddi, A., Srinivas, K. K., &Ragav, N. N. (2021, February). Mathematical models for predicting COVID-19 pandemic: a review. In Journal of Physics: Conference Series (Vol. 1797, No. 1, p. 012009). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1797/1/012009
AlArjani, Ali, et al. "Application of mathematical modeling in prediction of COVID-19 transmission dynamics." Arabian Journal for Science and Engineering 47.8 (2022): 10163-10186. DOI: https://doi.org/10.1007/s13369-021-06419-4
Bulut, C., & Kato, Y. (2020). Epidemiology of COVID-19. Turkish journal of medical sciences, 50(9), 563-570. DOI: https://doi.org/10.3906/sag-2004-172
Fang, F. C., Benson, C. A., Del Rio, C., Edwards, K. M., Fowler Jr, V. G., Fredricks, D. N., ... &Schooley, R. T. (2021). COVID-19—lessons learned and questions remaining. Clinical Infectious Diseases, 72(12), 2225-2240. DOI: https://doi.org/10.1093/cid/ciaa1654
Kotwal, A., Yadav, A. K., Yadav, J., Kotwal, J., &Khune, S. (2020). Predictive models of COVID-19 in India: a rapid review. Medical journal armed forces India, 76(4), 377-386. DOI: https://doi.org/10.1016/j.mjafi.2020.06.001
Lahiri, A., Jha, S. S., Bhattacharya, S., Ray, S., & Chakraborty, A. (2020). Effectiveness of Preventive Measures against COVID-19: A Systematic Review of: In Silico: Modeling Studies in Indian Context. Indian journal of public health, 64(6), 156-167. DOI: https://doi.org/10.4103/ijph.IJPH_464_20
Ibrahim, M. A., & Al-Najafi, A. (2020). Modeling, control, and prediction of the spread of COVID-19 using compartmental, logistic, and gauss models: a case study in Iraq and Egypt. Processes, 8(11), 1400. DOI: https://doi.org/10.3390/pr8111400
Ma, J. (2020). Estimating epidemic exponential growth rate and basic reproduction number. Infectious Disease Modelling, 5, 129-141. DOI: https://doi.org/10.1016/j.idm.2019.12.009
Tang, L., Zhou, Y., Wang, L., Purkayastha, S., Zhang, L., He, J., & Song, P. X. K. (2020). A review of multi‐compartment infectious disease models. International Statistical Review, 88(2), 462-513. DOI: https://doi.org/10.1111/insr.12402
Hu, W., Shi, Y., & Chen, Z. (2020). Optimal pandemic control: limited resource and human mobility. DOI: https://doi.org/10.2139/ssrn.3660315
Kassa, S. M., Njagarah, J. B., &Terefe, Y. A. (2020). Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective. Chaos, Solitons & Fractals, 138, 109968. DOI: https://doi.org/10.1016/j.chaos.2020.109968
Kouakep, Y. T., Tchoumi, S. Y., Fotsa, D., Kamba, F., Ngounou, D., Mboula, E., ...&Kamgang, J. (2021). Modelling the anti-COVID19 individual or collective containment strategies in Cameroon. Appl. Math. Sci, 15(2), 63-78. DOI: https://doi.org/10.12988/ams.2021.914395
Madubueze, C. E., Sambo, D., &Onwubuya, I. O. (2020). Controlling the Spread of COVID-19: Optimal Control Analysis (preprint). DOI: https://doi.org/10.1101/2020.06.08.20125393
Makhoul, M., Ayoub, H. H., Chemaitelly, H., Seedat, S., Mumtaz, G. R., Al-Omari, S., & Abu-Raddad, L. J. (2020). Epidemiological impact of SARS-CoV-2 vaccination: mathematical modeling analyses (preprint). DOI: https://doi.org/10.1101/2020.04.19.20070805
Mukandavire, Z., Nyabadza, F., Malunguza, N. J., Cuadros, D. F., Shiri, T., &Musuka, G. (2020). Quantifying early COVID-19 outbreak transmission in South Africa and exploring vaccine efficacy scenarios. PloS one, 15(7), e0236003. DOI: https://doi.org/10.1371/journal.pone.0236003
Mumtaz, G. R., Ayoub, H. H., Makhoul, M., Seedat, S., Chemaitelly, H., & Abu-Raddad, L. J. (2020). Can the COVID-19 pandemic still be suppressed? Putting essential pieces together. Journal of Global Health Reports, 4, e2020030. DOI: https://doi.org/10.29392/001c.12731
Prem, K., Liu, Y., Russell, T. W., Kucharski, A. J., Eggo, R. M., Davies, N., ...&Klepac, P. (2020). The effect of control strategies to reduce social mixing on outcomes of the COVID-19 epidemic in Wuhan, China: a modelling study. The lancet public health, 5(5), e261-e270. DOI: https://doi.org/10.1016/S2468-2667(20)30073-6
Tsay, C., Lejarza, F., Stadtherr, M. A., &Baldea, M. (2020). Modeling, state estimation, and optimal control for the US COVID-19 outbreak. Scientific reports, 10(1), 10711. DOI: https://doi.org/10.1038/s41598-020-67459-8
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