Research Article

On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics

Volume: 20 Number: 1 May 1, 2023
EN

On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics

Abstract

In this research, the impact of first and second dose vaccination in a mathematical model of COVID-19 transmission dynamics with two vaccination classes is investigated. The homotopy perturbation method is applied to obtain the approximate solution of the mathematical model. The impact of the first and second dose vaccinations were analyzed on the susceptible and exposed classes. The results of the analysis reveal that the second dose vaccination strategy is important to control the spread of the COVID-19 virus which is endangering the global existence of human population.

Keywords

References

  1. O. M. Ogunlaran, and S. C. Oukouomi Noutchie, “Mathematical model for an effective management of HIV infection,” Hindawi Publishing Corporation, vol. 2016, no. 4217548, pp. 6, 2016. http://dx.doi.org/10.1155/2016/4217548.
  2. S. Ahmad, A. Ullah, A. Akgül, and D. Baleanu, “Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels,” Alexandria Engineering Journal, vol. 61, no. 7, pp. 5735- 5752, 2022.
  3. A. Akgül, M. Inc, A. Kilicman, and D. Baleanu, “A new approach for one-dimensional sine-Gordon equation,” Advances in Difference Equations, 2016. http://dx.doi.org/10.1186/s13662-015-0734-x.
  4. S. Balamuralitharan, and S. Geethamalini, “Solutions of epidemic of EIAV infection by HPM,” Journal of Physics: conf.series 1000, 012023, 2018.
  5. A. I. Alaje, M. O. Olayiwola, M. O. Ogunniran, J.A. Adedeji, and K. A. Adedokun, “Approximate Analytical Methods for the Solution of Fractional Order Integro-differential Equations,” Nigerian Journal of Mathematics and Applications, vol. 31, pp.175 – 190, 2021.
  6. S. A. Lauer, K. H. Grantz, Q Bi, F. K. Jones, Q. Zheng, H. R. Meredith, A.S. Azman, N.G. Reich, and J. Lessler “The incubation period of coronavirus disease 2019 (COVID-19) from publicly reported confirmed cases: estimation and application,” Ann. Internal Med., vol. 172, no. 9, pp. 577–582, 2020.
  7. Q. Li, X. Guan, and P. Wu, “Early transmission dynamics in Wuhan, China, of novel coronavirus–infected pneumonia,” New England Journal of Medicine, vol. 382, no. 13, pp. 1199–1207, 2020.
  8. C. Lai, T. Shih, W. Ko, H. Tang, and P. Hsueh, “Severe acute respiratory syndrome coronavirus the challenges,” International Journal of Antimicrobial Agents, vol. 55, no. 3, 2020.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

May 1, 2023

Submission Date

July 22, 2022

Acceptance Date

April 19, 2023

Published in Issue

Year 2023 Volume: 20 Number: 1

APA
Kolawole, M., Bosede, T. A., Alaje, A., Bashiru, K. A., & Bashiru, K. A. (2023). On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics. Cankaya University Journal of Science and Engineering, 20(1), 53-63. https://izlik.org/JA68ZK37YD
AMA
1.Kolawole M, Bosede TA, Alaje A, Bashiru KA, Bashiru KA. On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics. CUJSE. 2023;20(1):53-63. https://izlik.org/JA68ZK37YD
Chicago
Kolawole, Mutairu, Tawakalt A. Bosede, Adedapo Alaje, Kehinde Adekunle Bashiru, and Kehinde A. Bashiru. 2023. “On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics”. Cankaya University Journal of Science and Engineering 20 (1): 53-63. https://izlik.org/JA68ZK37YD.
EndNote
Kolawole M, Bosede TA, Alaje A, Bashiru KA, Bashiru KA (May 1, 2023) On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics. Cankaya University Journal of Science and Engineering 20 1 53–63.
IEEE
[1]M. Kolawole, T. A. Bosede, A. Alaje, K. A. Bashiru, and K. A. Bashiru, “On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics”, CUJSE, vol. 20, no. 1, pp. 53–63, May 2023, [Online]. Available: https://izlik.org/JA68ZK37YD
ISNAD
Kolawole, Mutairu - Bosede, Tawakalt A. - Alaje, Adedapo - Bashiru, Kehinde Adekunle - Bashiru, Kehinde A. “On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics”. Cankaya University Journal of Science and Engineering 20/1 (May 1, 2023): 53-63. https://izlik.org/JA68ZK37YD.
JAMA
1.Kolawole M, Bosede TA, Alaje A, Bashiru KA, Bashiru KA. On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics. CUJSE. 2023;20:53–63.
MLA
Kolawole, Mutairu, et al. “On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics”. Cankaya University Journal of Science and Engineering, vol. 20, no. 1, May 2023, pp. 53-63, https://izlik.org/JA68ZK37YD.
Vancouver
1.Mutairu Kolawole, Tawakalt A. Bosede, Adedapo Alaje, Kehinde Adekunle Bashiru, Kehinde A. Bashiru. On The Application of Homotopy Perturbation Method in Simulating the Effect of Double Dose Vaccination on a Mathematical Model of Covid-19 Transmission Dynamics. CUJSE [Internet]. 2023 May 1;20(1):53-6. Available from: https://izlik.org/JA68ZK37YD