ESTIMATION OF PARAMETERS AND STABILITY ANALYSIS OF CORONAVIRUS PANDEMIC
Keywords:
Covid-19, Algeria, Repeated MsDTM, equilibrium, stability.DOI:
https://doi.org/10.17654/0974324322027Abstract
Despite ranking amongst the highest in medical systems in Africa and spending a substantial amount on health sector than other African nations, Algeria suffered a major blow in the first wave of the Covid-19 pandemic. Vaccine hesitancy also affected the country adversely in subsequent waves of the disease. This study estimates the number of Covid-19 cases for Algeria in January 2022 using two numerical methods Multi-step Differential Transform Method (MsDTM) and Repeated MsDTM. Stability analysis of the pandemic for the country has also been discussed in the paper.
Received: March 16, 2022
Accepted: May 26, 2022
References
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 21(6) (2022), 3249-3263.
B. Barnes and G. R. Fulford, Mathematical Modelling with Case Studies Using Maple and MATLAB, 3rd ed., CRC Press, 2015.
Ian Cooper, Argha Mondal and Chris G. Antonopoulos, A SIR model assumption for the spread of COVID-19 in different communities, Chaos Solitons Fractals 139 (2020), 110057, 14 pp.
Saber Elaydi, Eleonora Messina and Antonia Vecchio, A note on the asymptotic stability of linear Volterra difference equations of convolution type, Mathematics Faculty Research 13(12) (2007).
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 Fractals 140 (2020), 110231, 8 pp.
Mohamed Amine Kerdoun, Abdellah Hamza Henni, Assia Yamoun, Amine Rahmani, Rym Messaouda Kerdoun and Nazia Elouar, COVID-19 vaccine hesitancy among Algerian medical students: a cross-sectional study in five universities, 2021, pp. 1-22. https://doi.org/10.1101/2021.08.29.21261803.
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, Poonam Garg, Ritu Arora and Dhiraj Kumar Singh, Estimating the parameters of Covid-19 cases in South Africa, Biosciences Biotechnology Research Asia 19(1) (2022), 153-162.
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 equation sat undergraduate level, International Journal of Mathematical Education in Science and Technology 45(5) (2014), 781-794.
Selma Nihel Klouche-Djedid, Jaffer Shah, Maya Khodor, Salah Eddine Oussama Kacimi, Sheikh Mohammed Shariful Islam and Hani Aiash, Algeria’s response to COVID-19: an ongoing journey, The Lancet Respiratory Medicine 9(5) (2021), 449.
Wolfram Mathematica, https://www.wolfram.com/mathematica.
E. Qunaibi, I. Basheti, M. Soudy and I. Sultan, Hesitancy of Arab healthcare workers towards COVID-19 vaccination: a large-scale multinational study, Vaccines (Basel) 9(5) (2021), 446.
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 14 (2012), Article ID 253890.
J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China, 1986 (in Chinese).
https://www.arabnews.com/node/2012691/middle-east.
https://www.bbc.com/news/world-51839944.
https://www.britannica.com/place/Algeria/Economy.
https://covid.ourworldindata.org/.
https://english.alarabiya.net/News/north-africa/2020/02/25/Algeria-reports-first-caseof-coronavirus.
https://www.france24.com/en/africa/20210130-algeria-launches-its-covid-19-vaccination-campaign.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Pushpa Publishing House, Prayagraj, India

This work is licensed under a Creative Commons Attribution 4.0 International License.
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pushpa Publishing House for more info or permissions.
