On The Stability for Covid-19 Model
DOI:
https://doi.org/10.24237/ASJ.02.01.702BAbstract
In this paper, we investigate the stability of an impulsive mathematical model for a biological
phenomenon that caused millions of people to die in these recent years, and it is the
phenomenon of the COVID-19 epidemic, which first appeared in Wuhan, China. In this study
we are working on the system that was proposed by Ndaïrou et al [1] to define the dynamics of
COVID-19 model. For the stabilization study we use the direct and indirect Lyapunov method.
Before we start a study, we must find all the critical points of the system. For more study, we
perturbation the system by adding very small positive quantities, because in finding critical
points we have three free variables in case of perturbation, can work on more points. It
physically means that we can control a patient's condition and reduce the number of dead and
injured recovering.
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).
Ndaïrou, F., et al., Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Chaos, Solitons & Fractals,135:109846 (2020).
Erawaty, N. and A. Amir. Stability Analysis for Routh-Hurwitz Conditions Using Partial Pivot. in Journal of Physics: Conference Series. (2019). IOP Publishing.
Wiggins, S. and E. Zeidler, Introduction to applied nonlinear dynamical systems and chaos. Texts in Applied Mathematics, vol. 5 Springer‐Verlag (1990), New York, Berlin, Heidelberg, London, Paris, Tokyo, Hong Kong, 291 Illustrations, Subject Index, Bibliography, 670 pages. DM 98, 00, ISBN 0‐387‐97003‐7 Springer‐Verlag New York, Berlin, Heidelberg; ISBN 3‐540‐97003‐7 Springer‐Verlag Berlin, Heidelberg, New York. (1991), Wiley Online Library.
Nachaoui, A. and H. Salih, On the stability of a mathematical model for HIV (AIDS)-cancer dynamics. Mathematical Modeling and Computing, 8(4): 783-796. (2021).
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