Global Stability of Covid-19 Disease Free Based on Sivrs Model
DOI:
https://doi.org/10.20956/j.v19i2.24386Keywords:
Covid-19, SIVRS, LiapunovAbstract
This study discusses the spread of the Covid-19 disease by including new variant variables. The model used by SIVRS assumes there are deaths caused by Covid-19 and the new variant Covid-19. In addition, individuals who have been infected with the new variant of Covid-19 can recover. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was carried out around the disease-free equilibrium point and the result was that the global asymptotically stable disease-free equilibrium point with the condition R0<1. Furthermore, a simulation was carried out with the Maple 18.
References
Annas S., Pratama I. M., Rifandi M., Sanusi W., Side S.. 2020. Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia, Chaos, Solitons and Fractals, Vol 139, 1-7.
Brock W. A & Malliaris A. G, 1989. Differential Equations, Stability and Chaos in Dynamic Economics, Elsevier, Amsterdam.
Cooper I., Mondal A. & Antonopoulos C. G., 2020. A SIR model assumption for the spread of COVID-19 in different communities, Chaos, Solitons and Fractals, Vol 139, 1-30.
Collie S., Champion J., Moultrie H., dkk., 2022. Effectiveness of BNT162b2 vaccine against omicron variant in South Africa. N Engl J Med , Vol 386:494–6.
Fisman D. N. & Tuite A. R., 2021. Evaluation of the relative virulence of novel SARS-Cov-2 variants: a retrospective cohort study in Ontario, Canada, CMAJ (Can Med Assoc J), Vol 193. E1619-e25
Luenberger D. G., 1979. Introduction to Dynamics Systems, John Wiley & Sons, Inc., New York.
Otunuga O. M., 2021. Time-dependent probability distribution for number of infection in a stochastic SIS model: case study COVID-19, Chaos, Solitons and Fractals, Vol 147.
WHO, 2022. Severe Acute Respiratory Syndrome (SARS). World Health Organization. https://www.who.int/health-topics/severe-acute-respiratory-syndrome#tab=tab_1.[6 Desember 2022]
Xu D., Xu X. & Su Z., 2015. Novel SIVR Epidemic Spreading Model with Virus Variation in Complex Networks, 27th Chinese Control and Decision Conference (CCDC), 5164-5169.
Xu D., Xu X., Xie Y. & Yang C., 2016. Optimal control of an SIVRS epidemic spreading model with virus variation based on complex networks, Commun Nonlinear Sci Numer Simulat, Vol 48, 200-210.
Yang C. & Wang J., 2020. A mathematical model for the novel coronavirus epidemic in Wuhan, China. Math Biosci Eng, 17(3):2708–24.
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