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Abstract
This work presents a nonlinear deterministic model, referred to as GESAVRDP, intended to examine the transmission dynamics of COVID-19 within a population. The model is formulated as a system of ordinary differential equations that represents interactions among primary population groupings following the onset of the initial case in a disease-free community. We provide a solid foundation for understanding how the infection changes over time by computing the basic reproduction number (R0) and confirming several basic mathematical features, like positivity, existence, and uniqueness of solutions.
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References
Keeling, M. J., & Rohani, P. (2008). Modeling infectious diseases in humans and animals Princeton University Press.
Okrinya, A. B., and Timinibife, C. N. (2022). Global Stability Analysis of a Mathematical Model on the Transmission Dynamics of Covid-19 With Vaccination” Internatioal Journal of Mathematics and Computer Research 10(11) 2320-716.
Okrinya, A. B., and Timinibife, C. N.. (2021). The Impact of Vaccination on Covid-19 Disease Transmission Patterns in a Human Population: A Theoretical Analysis. Asian Research Journal of Mathematics.;17(1):123-
Zhu, N., Zhang, D., Wang, W., Li, X., Yang, B., Song, J., … & Tan, W. (2020). A novel coronavirus from patients with pneumonia in China, 2019. New England Journal of Medicine, 382(8), 727-733.
Khan, M. A., & Atangana, A. (2020). Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alexandria Engineering Journal, 59(4), 2379-2389.
Woo et al. (2023). ICTV virus taxonomy profile: Coronaviridae. Journal of General Virology.
Wu Z, McGoogan JM. (2020). Characteristics of and important lessons from the coronavirus disease 2019 (COVID-19) outbreak in China: summary of a report of 72314 cases from the Chinese center for disease control and prevention. JAMA, J Am Med Assoc.
Zhou, P., Yang, X. L., Wang, X. G., Hu, B., Zhang, L., Zhang, W., ... & Shi, Z. L. (2020). A pneumonia outbreak associated with a new coronavirus of probable bat origin. nature, 579(7798), 270-273.
Cucinotta, D., & Vanelli, M. (2020). WHO declares COVID-19 a pandemic. Acta Biomedica, 91(1), 157–160.
Okrinya, A. B., and Esekhaigbe, E. (2021). Mathematical modelling of the dynamics of Covid-19 disease transmission. Asian Research Journal of Mathematics. 17 (1):123-137.
Naik, P.A, Yavuz, M., Qureshi, S., Zu J,et al(2020). Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. Eur Phys J Plus 2020;135(10):1–42.
Tang, B., Wang, X., Li, Q, Bragazzi N. L, et al(2020). Estimation of the transmission risk of the 2019-ncov and its implication for public health interventions. J Clin Med 2020;9(2):46.
Bozkurt, F., Yousef, A., Baleanu, D., Alzabut, J. (2020). A mathematical model of the evolution and spread of pathogenic coronaviruses from natural host to human host. Chaos Solitons Fractals.
Hui, D.S., Zumla, A., Tang, J.W.. (2021). zoonotic coronavirus infections ofhumans– comparative phylogenetics, epidemiology, transmission, and clinical features of coronavirus disease 2019, The Middle East respiratory syndrome and severe acute respiratory syndrome. CurrOpinPulm Med 2021;27(3):146–54.
Guan, W. J., Ni, Z. Y., Hu, Y., Liang, W. H., Ou, C. Q., He, J. X., … & Zhong, N. S. (2020). Clinical characteristics of coronavirus disease 2019 in China. New England Journal of Medicine, 382(18), 1708-172.
World Health Organization, “Coronavirus,”
https://www.who.int/fr/health-topics/coronavirus/coronavirus/extracted on the 23th of April, 2025.
Hellewell, J., Abbott, S., Gimma, A., Bosse, N. I., Jarvis, C. I., Russell, T. W., … & Edmunds, W. J. (2020). Feasibility of controlling COVID-19 outbreaks by isolation (2020). Feasibility of controlling COVID-19 outbreaks by isolation of cases and contacts. Lancet Global Health, 8(4),e488-e496.
Tillett, R. L., Parks, T. M., Shinn, A. L., & Tellez, M. E. (2021). Reinfection with SARS-CoV-2: New cases and reinfections among patients who had recovered from the first infection. Journal of Clinical Microbiology, 59(8), e01233-21.
Cohen, D., & O’Reilly, S. (2020). The risks oftraditional burial practices in sub-Saharan Africa: A review of public health guidelines. Global Health Action, 13(1), 1785623.
Ndarou, F., Area, I., and Nieto, J. (2020). Torres D. Mathematical modeling of Covid-19transmission dynamics with a case study of Wuhan. Chaos, Solitons,and Fractals. 135(1046).
Tang, B., Wang, X., Li, Q, Bragazzi N. L, et al(2020). Estimation of the transmission risk of the 2019-ncov and itsimplication for public health interventions. J Clin Med 2020;9(2):46.
Nezihal G, Bilgen K. (2021). Mathematical modelling of Covid-19 with the effect of vaccine AIP Conference Proceedings. 2(7); 23-2