International Journal of Mathematics Trends and Technology
Volume 70 | Issue 2 | Year 2024 | Article Id. IJMTT-V70I2P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I2P101
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 01 Jan 2024 | 01 Feb 2024 | 15 Feb 2024 | 28 Feb 2024 |
The necessary step government suggests in existing condition of COVID-19 is to get vaccinated. So, this paper reveals
the importance of the booster dose for COVID-19 by using a relevantly framed Susceptible-Exposed-Infected-Quarantined-Recovered compartmental model with vaccination class. Foremost, the paper examines the positivity and boundedness by the
system of equations followed by estimating the reproduction number. Later, the local stability of the equilibria and the global
stability of the disease-free equilibrium of the model is analyzed. The simulations performed numerically explains the impact of
getting vaccinated and also analyses the reproduction number at two equilibriums. The analysis concludes with the fact that the
spread of corona virus declines while people get vaccinated and may be eradicate in future.
Epidemiology, COVID-19, SEIQR, Vaccination, Stability analysis.
[1] Archana Singh Bhadauria, Sapna Devi, and Nivedita Gupta, “Modelling and Analysis of a SEIQR Model on COVID-19 Pandemic with
Delay,” Modeling Earth Systems and Environment, vol. 8, pp. 3201-3214, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[2] José M. Carcione et al., “A Simulation of a COVID-19 Epidemic Based on a Deterministic SEIR Model,” Frontiers in Public Health, vol.
8, pp. 1-13, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Chengjun Sun, and Ying-Hen Hsieh, “Global Analysis of an SEIR Model with Varying Population Size and Vaccination,” Applied
Mathematical Modelling, vol. 34, no. 10, pp. 2685-2697, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Mojtaba Masoumnezhad et al., “An Approach for the Global Stability of Mathematical Model of an Infectious Disease,” Symmetry, vol.
12, no. 11, pp. 1-19, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Muhammad Tahir et al., “Modeling and Stability Analysis of Epidemic Expansion Disease Ebola Virus with Implications Prevention in
Population,” Cogent Biology, vol. 5, no. 1, pp. 1-11, 2019.
[CrossRef] [Google Scholar] [Publisher Link]
[6] ChukwuNonso H. Nwokoye, and Ikechukwu I. Umeh, “The SEIQR–V Model: On a More Accurate Analytical Characterization of
Malicious Threat Defense,” International Journal of Information Technology and Computer Science, vol. 9, no. 12, pp. 28-37, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[7] D. Okuonghae, and A. Omame, “Analysis of a Mathematical Model for COVID-19 Population Dynamics in Lagos, Nigeria,” Chaos,
Solitons & Fractals, vol. 139, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[8] P. van den Driessche, and James Watmough, “Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models
of Disease Transmission,” Mathematical Biosciences, vol. 180, no. 1-2, pp. 29-48, 2002.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Mehmet Yavuz et al., “A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign,” Open Journal
of Modelling and Simulation, vol. 9, no. 3, pp. 299-321, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Yukun Zou et al., “Vaccination and Quarantine Effect on COVID-19 Transmission Dynamics Incorporating Chinese-Spring-Festival
Travel Rush: Modeling and Simulation,” Bulletin of Mathematical Biology, vol. 84, no. 2, pp. 1-19, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
A. Joshua Cyril Yagan, D. Jasmine, "An SEIQR Model with Vaccination Class Influencing the Significance of Booster Dose for COVID-19," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 2, pp. 1-8, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I2P101
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