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Year 2023, Volume: 20 Issue: 1, 53 - 63, 01.05.2023

Mutairu Kolawole Tawakalt A. Bosede Adedapo Alaje Kehinde A. Bashiru Kehinde Adekunle Bashiru

Abstract

References

  • 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.
  • 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.
  • 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.
  • S. Balamuralitharan, and S. Geethamalini, “Solutions of epidemic of EIAV infection by HPM,” Journal of Physics: conf.series 1000, 012023, 2018.
  • 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.
  • 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.
  • 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.
  • 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.
  • D. Rio, and P. N. Malani, “Covid-19. New insights on a rapidly changing epidemic,” JAMA, vol. 323, no. 14, pp. 1339-1340, 2020.
  • O. A. Adegboye, A. I. Adekunle, and E. Gayawan, “Early transmission dynamics of novel coronavirus (COVID-19) in Nigeria,” Int. J. Environ. Res. Public Health, vol. 17, no. 3054, pp. 1–10, 2020.
  • D. Kalyan, G. K. Ranjith, R. Madhusudhan, and K. Lakshminarayan, “Sensitivity and elasticity analysis of novel corona virus transmission model: A mathematical approach,” Sensors International, vol. 2, 1999.
  • C. Xu, M. Farman, A. Hasan, A. Akgül, M. Zakarya, W. Albalawi, and C. Park, “Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator,” Alexandria Engineering Journal, vol. 61, no. 12, pp. 11787–802, 2022.
  • G. Hussain, T. Khan, A. Khan, M. Inc, G. Zaman, K. Sooppy Nisar, and A. Akgül, “Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model,” Alexandria Engineering Journal, vol. 60, no. 4, pp. 4121- 4130, 2021.
  • J. H. He, “Homotopy perturbation technique,” Comput. Methods. Appl. Mech. Eng., vol. 178, pp. 257, 1999.

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

Year 2023, Volume: 20 Issue: 1, 53 - 63, 01.05.2023

Mutairu Kolawole Tawakalt A. Bosede Adedapo Alaje Kehinde A. Bashiru Kehinde Adekunle Bashiru

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

Covid-19 Vaccination HPM Mathematical Modelling.

References

  • 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.
  • 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.
  • 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.
  • S. Balamuralitharan, and S. Geethamalini, “Solutions of epidemic of EIAV infection by HPM,” Journal of Physics: conf.series 1000, 012023, 2018.
  • 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.
  • 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.
  • 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.
  • 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.
  • D. Rio, and P. N. Malani, “Covid-19. New insights on a rapidly changing epidemic,” JAMA, vol. 323, no. 14, pp. 1339-1340, 2020.
  • O. A. Adegboye, A. I. Adekunle, and E. Gayawan, “Early transmission dynamics of novel coronavirus (COVID-19) in Nigeria,” Int. J. Environ. Res. Public Health, vol. 17, no. 3054, pp. 1–10, 2020.
  • D. Kalyan, G. K. Ranjith, R. Madhusudhan, and K. Lakshminarayan, “Sensitivity and elasticity analysis of novel corona virus transmission model: A mathematical approach,” Sensors International, vol. 2, 1999.
  • C. Xu, M. Farman, A. Hasan, A. Akgül, M. Zakarya, W. Albalawi, and C. Park, “Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator,” Alexandria Engineering Journal, vol. 61, no. 12, pp. 11787–802, 2022.
  • G. Hussain, T. Khan, A. Khan, M. Inc, G. Zaman, K. Sooppy Nisar, and A. Akgül, “Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model,” Alexandria Engineering Journal, vol. 60, no. 4, pp. 4121- 4130, 2021.
  • J. H. He, “Homotopy perturbation technique,” Comput. Methods. Appl. Mech. Eng., vol. 178, pp. 257, 1999.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mutairu Kolawole 0000-0003-1500-2060

Tawakalt A. Bosede This is me

Adedapo Alaje 0000-0002-3590-3256

Kehinde A. Bashiru This is me 0000-0003-0733-3281

Kehinde Adekunle Bashiru 0000-0003-0733-3281

Publication Date May 1, 2023
Published in Issue Year 2023 Volume: 20 Issue: 1

Cite

APA Kolawole, M., Bosede, T. A., Alaje, A., Bashiru, K. A., et al. (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.
AMA 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. May 2023;20(1):53-63.
Chicago Kolawole, Mutairu, Tawakalt A. Bosede, Adedapo Alaje, Kehinde A. Bashiru, and Kehinde Adekunle 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”. Cankaya University Journal of Science and Engineering 20, no. 1 (May 2023): 53-63.
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 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, 2023.
ISNAD 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 20/1 (May 2023), 53-63.
JAMA 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, 2023, pp. 53-63.
Vancouver 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):53-6.
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