Significance of an SEIHR Model with Preventive Class in Declining the Spread of COVID-19

A Joshua Cyril Yagan; D Jasmine

doi:10.17485/IJST/v16iSP3.icrtam130

Article

Significance of an SEIHR Model with Preventive Class in Declining the Spread of COVID-19

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16iSP3.icrtam130

Year: 2023, Volume: 16, Issue: Special Issue 3, Pages: 14-21

Original Article

Significance of an SEIHR Model with Preventive Class in Declining the Spread of COVID-19

A Joshua Cyril Yagan^1*, D Jasmine¹

¹Department of Mathematics, Bishop Heber College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, 620 017, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:04 February 2023, Accepted Date:11 August 2023, Published Date:20 November 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Background/ Objectives: COVID-19 is being a global threat to humankind for past two years. Although the outbreak appears to be restrained at the moment, it is likely to become an epidemic again. Hence, there is an emergence of preventing such situation. This study reveals a model which helps to control this epidemic by sufficient control measures. Methods: The proposed model follows a vital dynamic. Two compartments namely hospitalised and preventive class were included along with the SEIR model. Further, the expression for the reproduction number has been derived using the Next-Generation matrix. Findings: The proposed model is well-defined. Also, the existence of the equilibrium points of the proposed model is justified. Further, the local stability of the equilibria is exhibited. Novelty: This study introduces the Preventive class, which plays a vital role in preventing the spread of outbreak and enhances the necessity of practicing preventive measures. The numerical simulations conclude that the constructed model is explicit and support to control the spread of COVID-19.

Keywords: COVID19, Epidemic, SEIR, NextGeneration Matrix, Preventive Class

References

Tahir M, Anwar N, Shah SIA, Khan T. Modeling and stability analysis of epidemic expansion disease Ebola virus with implications prevention in population. Cogent Biology. 2019;5(1):1–11. Available from: https://doi.org/10.1080/23312025.2019.1619219
Carcione JM, Santos JE, Bagaini C, Ba J. A Simulation of a COVID-19 Epidemic Based on a Deterministic SEIR Model. Frontiers in Public Health. 2020;8:1–13. Available from: https://doi.org/10.3389/fpubh.2020.00230
Bhadauria AS, Devi S, Gupta N. Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay. Modeling Earth Systems and Environment. 2022;8:3201–3214. Available from: https://doi.org/10.1007/s40808-021-01279-1
Zeb A, Alzahrani E, Erturk VS, Zaman G. Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class. BioMed Research International. 2020;2020:1–7. Available from: https://doi.org/10.1155/2020/3452402
Ghosh SK, Ghosh SK. A mathematical model for COVID-19 considering waning immunity, vaccination and control measures. Scientific Reports. 2023;13(1):1–25. Available from: https://doi.org/10.1038/s41598-023-30800-y
Zou Y, Yang W, Lai J, Hou J, Lin W. Vaccination and Quarantine Effect on COVID-19 Transmission Dynamics Incorporating Chinese-Spring-Festival Travel Rush: Modeling and Simulations. Bulletin of Mathematical Biology. 2022;84(2):1–19. Available from: https://doi.org/10.1007/s11538-021-00958-5
Poonia RC, Saudagar AKJ, Altameem A, Alkhathami M, Khan MB, Hasanat MHA. An Enhanced SEIR Model for Prediction of COVID-19 with Vaccination Effect. Life. 2022;12(5):1–14. Available from: https://doi.org/10.3390/life12050647
Adom-Konadu A, Sackitey AL, Anokye M. Local Stability Analysis of epidemic models using a Corollary of Gershgorin’s Circle Theorem. Applied Mathematics E-Notes. 2023;23:159–174. Available from: https://www.emis.de/journals/AMEN/2023/AMEN-220223.pdf
MA, CG, Qm AM. Mathematical modeling and simulation of SEIR model for COVID-19 outbreak: A case study of Trivandrum. Frontiers in Applied Mathematics and Statistics. 2023;9:1–9. Available from: https://doi.org/10.3389/fams.2023.1124897

Copyright

© 2023 Yagan & Jasmine. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)