ANALYSIS AND PREDICTION OF COVID-19 SPREAD USING NUMERICAL METHOD
Keywords:
virus, pandemic, prediction, Italy, economy.DOI:
https://doi.org/10.17654/0974324322015Abstract
In this paper, we have discussed the impact of Coronavirus variants in a phase of 2021-22 along with a previous phase of 2020-21 in Italy. We analyse and compare the Covid-19 scenario in Italy for the period from October 04, 2020 to January 16, 2021 with a period from October 04, 2021 to January 16, 2022. For this study, we have used repeated multi-step differential transform method (RMsDTM). Also, we have predicted the number of active cases for 10 days following the period of study.
Received: January 27, 2022
Revised: March 6, 2022
Accepted: April 4, 2022
References
A. Adeniji, H. Noufe, A. Mkolesia and M. Shatalov, An approximate solution to predator-prey models using the differential transform method and multi-step differential transform method, in comparison with results of the classical Runge-Kutta method, Mathematics and Statistics 9(5) (2021), 799-805.
F. S. Akinboro, S. Alao and F. O. Akinpelu, Numerical solution of SIR model using differential transformation method and variational iteration method, General Mathematics Notes 22(2) (2014), 82-92.
Ritu Arora, Surbhi Madan, Poonam Garg and Dhiraj Kumar Singh, Analysis of Covid-19 spread in Himalayan countries, Advances and Applications in Mathematical Sciences, to appear in 2022.
Noufe H. Aljahdaly and S. A. El-Tantawy, On the multistage differential transformation method for analyzing damping duffing oscillator and its applications to plasma physics, Mathematics 9(4) (2021), 432.
B. Barnes and G. R. Fulford, Mathematical Modelling with Case Studies using Maple and MATLAB (3rd ed.), CRC Press, 2015.
E. Bontempi, The Europe second wave of COVID-19 infection and the Italy “strange” situation, Environmental Research 193(110476) (2021), 1-8.
Lin Christopher, Mathematical models of epidemics, Math, 89S, Spring 2016, 1 15.
Ian Cooper, Argha Mondal and Chris G. Antonopoulos, A SIR model assumption for the spread of COVID-19 in different communities, Chaos, Solitons and Fractals 139(110057), 2020.
Ryad Ghanam, Edward L. Boone and Abdel-Salam G. Abdel-Salam, SEIRD model for Qatar Covid-19 outbreak: A case study, Letters in Biomathematics 8(1) (2021), 19-28.
Aayah Hammoumi and Redouane Qesmi, Impact assessment of containment measure against COVID-19 spread in Morocco, Chaos, Solitons and Fractals 140(110231) (2020).
W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A 115 (1927), 700-721.
Surbhi Madan, Ritu Arora, Poonam Garg and Dhiraj Kumar Singh, Estimating the parameters of Covid-19 cases in South Africa, Biosciences, Biotechnology Research Asia 19(1) (2022).
Wolfram Mathematica, https://www.wolfram.com/mathematica
Mohammad Mehdi Rashidi, Ali J. Chamkha and Mohammad Keimanesh, Application of multi-step differential transform method on flow of a second-grade fluid over a stretching or shrinking sheet, Amer. J. Comput. Math. 6 (2011), 119 128.
J. M. W. Munganga, J. N. Mwambakana, R. Maritz, T. A. Batubenge and G. M. Moremedi, Introduction of the differential transform method to solve differential equations at undergraduate level, International Journal of Mathematical Education in Science and Technology 45(5) (2014), 781-794.
Mostafa Nourifar, Ahmad Aftabi Sani and Ali Keyhani, Efficient multi-step differential transform method: Theory and its application to nonlinear oscillators, Communications in Nonlinear Science and Numerical Simulation 53 (2017), 154 183.
Adekunle Sanyaolu, Chuku Okorie, Sadaf Younis, Henry Chan, Nafees Haider, Abu Fahad Abbasi, Oladapo Ayodele, Stephanie Prakash and Aleksandra Marinkovic, Transmission and control efforts of Covid-19, Journal of Infectious Diseases and Epidemiology 6(3) (2020).
Do Younghae and Jang Bongsoo, Enhanced multistage differential transform method: application to the population models, Abstract and Applied Analysis 2012, 14 pages, (Article ID 253890).
Odibat Zaid, Bertelle Cyrille, Aziz-Alaoui Moulay and H. E. Gérard Duchamp, A Multi-step Differential Transform Method and Application to Non-chaotic or Chaotic Systems, Computers and Mathematics with Applications, Elsevier, 2010.
J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China, 1986 (in Chinese).
https://www.bbc.com/news/uk-55227325
https://covid.ourworldindata.org
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