COVID-19 CASES IN MOROCCO: A COMPARATIVE ANALYSIS
Yıl 2022,
Cilt: 5 Sayı: 3, 337 - 346, 30.09.2022
Poonam Garg
,
Surbhi Madan
,
Ritu Arora
,
Dhiraj Singh
Öz
Covid-19 is a highly infectious disease caused by novel Corona virus SARS-CoV-2, affecting the whole world. In this
paper, we introduce and apply two iterative methods, RMsDTM and R2KM, to obtain approximate values of Covid-19
cases in Morocco. We also compare the approximations of both methods and see that the solution of RMsDTM is
more accurate.
Kaynakça
- [1] M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh and I. Qaralleh, Differential transformation method (DTM) for solving SIS and SI epidemic
models, Sains Malaysiana 46(10) (2017) 2007–2017.
- [2] 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.
- [3] K. Atkinson, W. Han and D.E. Stewart, Numerical solution of ordinary differential equations, John Wiley & Sons (2011).
- [4] B. Barnes and G.R. Fulford, Mathematical modelling with case studies using Maple and MATLAB (3rd Edition), CRC Press (2015).
- [5] Ewen Callaway, The mutation that helps delta spread like wildfire, Nature 596 (2021) 472–473.
- [6] HerbertW.HethcoteandP.vandenDriessche, An SIS epidemic model with variable population size and a delay, Journal of Mathematical
Biology 34 (1995) 177–194.
- [7] W.O. Kermack and A.G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A 115 (1927)
700–721.
[8] J.M.W. Mungangaa, J.N. Mwambakanab, R. Maritza, T.A. Batubengea and G.M. Moremedia, Introduction of the differential trans-
form method to solve differential equations at undergraduate level, International Journal of Mathematical Education in Science and
Technology 45(5) (2014) 781–794
[9] He Shaobo, P. Yuexi and Sun Kehui, SEIR modeling of the COVID-19 and its dynamics, Nonlinear Dynamics 101 (2020) 1667–1680.
- [10] Wolfram Mathematica, https://www.wolfram.com/mathematica.
- [11] D. Younghae and J. Bongsoo, Enhanced multistage differential transform method: application to the population models, Abstract and
Applied Analysis 14 pages (2012) (Article ID 253890).
- [12] O. Zaid, B. 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 (2010) Elsevier.
- [13] J.K. Zhou, Differential transformation and its applications for electrical circuits, Huazhong University Press, Wuhan, China (1986) (in
Chinese).
- [14] https://covid.ourworldindata.org/
- [15] https://www.garda.com/crisis24/news-alerts/319321/morocco-health-ministry-confirms-first-covid-19-case-march-2-update-2
- [16] https://www.statista.com/statistics/1219577/number-of-covid-19-vaccine-doses-administered-in-morocco/
- [17] https://www.who.int/health-topics/coronavirus
- [18] https://www.worldometers.info/coronavirus/
Yıl 2022,
Cilt: 5 Sayı: 3, 337 - 346, 30.09.2022
Poonam Garg
,
Surbhi Madan
,
Ritu Arora
,
Dhiraj Singh
Kaynakça
- [1] M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh and I. Qaralleh, Differential transformation method (DTM) for solving SIS and SI epidemic
models, Sains Malaysiana 46(10) (2017) 2007–2017.
- [2] 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.
- [3] K. Atkinson, W. Han and D.E. Stewart, Numerical solution of ordinary differential equations, John Wiley & Sons (2011).
- [4] B. Barnes and G.R. Fulford, Mathematical modelling with case studies using Maple and MATLAB (3rd Edition), CRC Press (2015).
- [5] Ewen Callaway, The mutation that helps delta spread like wildfire, Nature 596 (2021) 472–473.
- [6] HerbertW.HethcoteandP.vandenDriessche, An SIS epidemic model with variable population size and a delay, Journal of Mathematical
Biology 34 (1995) 177–194.
- [7] W.O. Kermack and A.G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A 115 (1927)
700–721.
[8] J.M.W. Mungangaa, J.N. Mwambakanab, R. Maritza, T.A. Batubengea and G.M. Moremedia, Introduction of the differential trans-
form method to solve differential equations at undergraduate level, International Journal of Mathematical Education in Science and
Technology 45(5) (2014) 781–794
[9] He Shaobo, P. Yuexi and Sun Kehui, SEIR modeling of the COVID-19 and its dynamics, Nonlinear Dynamics 101 (2020) 1667–1680.
- [10] Wolfram Mathematica, https://www.wolfram.com/mathematica.
- [11] D. Younghae and J. Bongsoo, Enhanced multistage differential transform method: application to the population models, Abstract and
Applied Analysis 14 pages (2012) (Article ID 253890).
- [12] O. Zaid, B. 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 (2010) Elsevier.
- [13] J.K. Zhou, Differential transformation and its applications for electrical circuits, Huazhong University Press, Wuhan, China (1986) (in
Chinese).
- [14] https://covid.ourworldindata.org/
- [15] https://www.garda.com/crisis24/news-alerts/319321/morocco-health-ministry-confirms-first-covid-19-case-march-2-update-2
- [16] https://www.statista.com/statistics/1219577/number-of-covid-19-vaccine-doses-administered-in-morocco/
- [17] https://www.who.int/health-topics/coronavirus
- [18] https://www.worldometers.info/coronavirus/