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Stability Analysis of Mathematical Modeling of Interaction between Target Cells and COVID-19 Infected Cells
Abstract
The stability analysis in this mathematical model was related to the infection of the Coronavirus Disease 2019 (Covid-19). In this mathematical model there were two balance points, namely the point of balance free from Covid-19 and the one infected with Covid-19. The stability of the equilibrium point was influenced by all parameters, i.e. target cells die during each cycle, number of target cells at  = 0, target cells infected during each cycle based on virion unit density, effective surface area of the network, the ratio of the number of virus particles to the number of virions, infected cells die during each cycle, the number of virus particles produced by each infected cell during each cycle, and virus particles die during each cycle. In the simulation model, immunity is divided into high, medium and low immunity. For high, moderate and low immunity, respectively, the highest number of target cells is in high, medium and low immunity, whereas for the number of infected cells and the number of Covid-19, it is in the opposite sequence of the number of target cells.
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Bourgonje, A. R., Abdulle, A. E., Timens, W., Hillebrands, J. L., Navis, G. J., Gordijn, S. J., ... & van Goor, H. (2020). Angiotensinâ€converting enzyme 2 (ACE2), SARSâ€CoVâ€2 and the pathophysiology of coronavirus disease 2019 (COVIDâ€19). The Journal of pathology, 251(3), 228-248.
Diaz, J. H. (2020). Hypothesis: angiotensin-converting enzyme inhibitors and angiotensin receptor blockers may increase the risk of severe COVID-19. Journal of travel medicine.
Du, S. Q., & Yuan, W. (2020). Mathematical modeling of interaction between innate and adaptive immune responses in COVIDâ€19 and implications for viral pathogenesis. Journal of medical virology, 92(9), 1615-1628.
Sugiyanto, S., & Abrori, M. (2020). A mathematical model of the COVID-19 cases in Indonesia (under and without lockdown enforcement). Biology, Medicine, & Natural Product Chemistry, 9(1), 15-19.
Tan, W., Zhao, X., Ma, X., Wang, W., Niu, P., Xu, W., ... & Wu, G. (2020). A novel coronavirus genome identified in a cluster of pneumonia cases—Wuhan, China 2019− 2020. China CDC weekly, 2(4), 61-62.
Zhang, X., Li, S., & Niu, S. (2020). ACE2 and COVID-19 and the resulting ARDS. Postgraduate medical journal, 96(1137), 403-407.
Zoufaly, A., Poglitsch, M., Aberle, J. H., Hoepler, W., Seitz, T., Traugott, M., ... & Penninger, J. M. (2020). Human recombinant soluble ACE2 in severe COVID-19. The Lancet Respiratory Medicine, 8(11), 1154-1158.
DOI: https://doi.org/10.14421/biomedich.2021.102.123-127
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Copyright (c) 2021 Sugiyanto, Mansoor Abdul Hamid, Alya Adianta, Hanny Puspha Jayanti, Muhammad Ja'far Luthfi
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