Existence and Uniqueness of Solution for COVID-19 Model as an Application of Fractional Differential Equation
DOI:
https://doi.org/10.24237/ASJ.02.01.711BKeywords:
existence solution, uniqueness solution stability, COVID-19 model, equilibrium point.Abstract
In this work, we study an impulsive mathematical model proposed by Ndaïrou et al [1]to
describe the dynamics of COVID-19 model. To improve our understanding of this biological
phenomenon that has emerged in China in recent years and then spread throughout the world.
Has resulted in the death of millions of people. We the existence and uniqueness of the model
for show that the model has the unique solution by using and proving some theorems. These
theories help us to establish the patient's condition and its recovery in a hurry.
References
Ndaïrou, F., et al., Fractional model of COVID-19 applied to Galicia, Spain and Portugal. Chaos, Solitons & Fractals, 144: p. 110652. (2021).
Csse, J., Coronavirus COVID-19 global cases by the center for systems science and engineering (CSSE) at Johns Hopkins University (JHU). Johns Hopkins University (JHU): Baltimore, MD, USA, (2020).
Moradian, N., et al., The urgent need for integrated science to fight COVID-19 pandemic and beyond. Journal of translational medicine,18(1): 1-7 (2020).
Organization, W.H., COVID-19 weekly epidemiological update, edition 115, 26 October (2022).
Ndaïrou, F., et al., Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Chaos, Solitons & Fractals, 135: p. 109846. (2020).
Zeidler, E., Functional analysis and its applications. Part II/B (Nonlinear Monotone Operators) Springer, Berlin, (1985). 745.
Şan, M. and U. Sert, Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero. Hacettepe Journal of Mathematics and Statistics, 49(5): 1718-1725. (2020).
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