MODELLING THE TRANSMISSION DYNAMICS OF COVID-19 INFECTION WITH VACCINATION, QUARANTINE, TREATMENT AND PUBLIC CAMPAIGN INTERVENTIONS
DOI:
https://doi.org/10.33003/fjs-2025-0911-3739Abstract
Coronavirus disease (COVID-19) is an infectious illness caused by a novel coronavirus that emerged in Wuhan, China, in late 2019. While most infected individuals experience mild to moderate respiratory symptoms and recover without intensive medical intervention, the rapid spread of the virus has presented significant global health challenges. This study develops and analyzes a deterministic compartmental model for the transmission dynamics of COVID-19, incorporating vaccination, public awareness campaigns, and natural death. The model consists of seven compartments and examines the effects of both pharmaceutical and non-pharmaceutical interventions. Key mathematical analyses include the positivity and invariance of solutions, determination of disease-free and endemic equilibria, computation of the basic reproduction number, and stability analysis of the disease-free equilibrium. Sensitivity analysis and numerical simulations reveal that a combined strategy involving vaccination and quarantine is highly effective in controlling the spread of the disease. Based on the findings, it is recommended that phased implementation of vaccination and sustained public health interventions be emphasized to mitigate and ultimately eliminate COVID-19 transmission.
References
REFERENCES
Abdool K., (2020). The South African response to the pandemic. African Institute for Mathematics Sciences (AIMS), Cellule Kamatamu, Ruck G590 ST NO. 1 Kigali Rwanda.
Alberto, A. David, M., C., Ana, P, Y, Marco, A., Maria, L., Alex, P., Alessandro, V., Esteban, M (2020). Natural of human behavior. Vol.4 (964-971).
Alkali, M., Abdullahi, M., Alhassan, A., Muhammad, S., Zailani, H. (2025). Mathematical Analysis of a Risk Structured Listeriosis Dynamics Model. FUDMA JOURNAL OF SCIENCES, 9(3), 302-308. https://doi.org/10.33003/fjs-2025-0903-3259
Bismark, O. V. and Mpendulo, M. (2021). Covid-19 intervention Model; and initial aggressive treatment strategy for controlling the infection. Journal of Amepre, 1(1):70-80.
Chioma D., N., Chinwe L., O., Kelly E., John O., Elsie I., Chukwuma U., Laura S., Elumario I., John W., Tochi O., Olaolu A., Nwando M., Assad H., Mohammed D., Kola J., Sikiru B., Chinedu A., Abubakar J., Yahya D., Fatima S., Anwar A., (2020) Nigeria’s public health response to the COVID-19 pandemic. vol.10 NO.2
Diekmann, O., Heesterbeek, J.A.P. and Metz, J.A.J. (1990) ‘On the definition and the Computation of the basic reproduction ratio in model’s foe infectious diseases in Heterogeneous populations. Journal of Mathematical Biology, 28(4), 365-382.
Eric, N., Wiah, E., Danso-Addo, D. and Ekow, B. (2020). Dynamics of COVID-19 Disease with contact tracing and isolation in Ghana. Mathematics modeling and Applications, 5(3): 146-155.
Melika, L., Micheal, R. H. and Nima, R. (2020). COVID-19 Transmission, Presentation, and Potential Therapeutic. N Engl J med. 382: e95, medline 32469479.
Osibogun A., Blogun M., Abayomi A., Idris J., Kuyinu Y., Odukoya O., et at (2021) outcomes of COVID-19 patients with comorbidities in southwest Nigeria PloS ONE 16(3): e024281. https://doi.org/10.157/journal,pone024281
Patel A., Jernigan DB., Abdirizak F., Abedi G., Aggarwal S., Albaina D., et al (2020). Initial public health response and interim clinical guidance for the 2019 novel corona virus outbreak. Vol. 10, No. 2.
Sezen K., James F., Anthony G., Charles E., W. (2021) prevalence of SARS-COV-2 in conjunctival swab samples among patients presenting with conjunctivitis during the COVID-19 pandemic. Clinical ophthalmology. Vol.16 No.127-13.
World Health Organization (WHO 2020) WHO director-general’s opening remark at the media briefing on COVID-19 pandemic. https://www.who.int/dg/speeches/detail/who Journal of multidiscipline health. Vol.15, No. 21-45.
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Copyright (c) 2025 Yusuf Emmanuel, Jacob Hyellachari Maspalma, I. M. Song, S. H. Bade, A. Abubakar, Umar Gidado, F. S. Tarfa
This work is licensed under a Creative Commons Attribution 4.0 International License.
