ESTIMATION OF PARAMETERS AND STABILITY ANALYSIS OF CORONAVIRUS PANDEMIC

  • Poonam Garg Department of Mathematics, Deen Dayal Upadhyaya College (University of Delhi), Azad Hind Fauj Marg, Dwarka, Delhi 110078, India
  • Ritu Arora Department of Mathematics, Janki Devi Memorial College (University of Delhi), Sir Ganga Ram Hospital Marg, New Delhi 110060, India
  • Surbhi Madan Department of Mathematics, Shivaji College (University of Delhi), Raja Garden, New Delhi 110027, India
  • Dhiraj KumarSingh Department of Mathematics, Zakir Husain Delhi College (University of Delhi), Jawaharlal Nehru Marg, Delhi 110002, India
Article ID: 2573
Keywords: Covid-19; Algeria; Repeated MsDTM; equilibrium; stability

Abstract

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.

References

[1]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.

[2]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.

[3]B. Barnes and G. R. Fulford, Mathematical Modelling with Case Studies Using Maple and MATLAB, 3rd ed., CRC Press, 2015.

[4]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.

[5]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).

[6]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.

[7]Aayah Hammoumi and Redouane Qesmi, Impact assessment of containment measure against COVID-19 spread in Morocco, Chaos Solitons Fractals 140 (2020), 110231, 8 pp.

[8]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.

[9]W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A 115 (1927), 700-721.

[10]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.

[11]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.

[12]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.

[13]Wolfram Mathematica, https://www.wolfram.com/mathematica.

[14]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.

[15]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).

[16]Do Younghae and Jang Bongsoo, Enhanced multistage differential transform method: application to the population models, Abstract and Applied Analysis 14 (2012), Article ID 253890.

[17]J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China, 1986 (in Chinese).

[18]https://www.arabnews.com/node/2012691/middle-east.

[19]https://www.bbc.com/news/world-51839944.

[20]https://www.britannica.com/place/Algeria/Economy.

[21]https://covid.ourworldindata.org/.

[22]https://english.alarabiya.net/News/north-africa/2020/02/25/Algeria-reports-first-caseof-coronavirus.

[23]https://www.france24.com/en/africa/20210130-algeria-launches-its-covid-19-vaccination-campaign.

[24]https://www.worldometers.info/coronavirus/.

Published
2025-01-10
How to Cite
Garg, P., Arora, R., Madan, S., & KumarSingh, D. (2025). ESTIMATION OF PARAMETERS AND STABILITY ANALYSIS OF CORONAVIRUS PANDEMIC. Advances in Differential Equations and Control Processes, 28. Retrieved from https://ojs.acad-pub.com/index.php/ADECP/article/view/2573
Section
Articles