Global stability of latency equilibria on mathematical model for human inflammatory response to coronavirus infection

Wiraya, Ario and Adi, Yudi and Fitriana, Laila and Triyanto, Triyanto and Khoirunnisa, Sarah (2022) Global stability of latency equilibria on mathematical model for human inflammatory response to coronavirus infection. In: International Conference of Mathematics and Mathematics Education (I-CMME) 2021.

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Abstract

Latent phase of Coronavirus infection is a period of time in which an infected person is noninfectious and
asymptomatic, so that it does not have a high risk of transmission. We construct a mathematical model that describes human
inflammatory response system, i.e. interaction between pro-inflammatory and anti-inflammatory cytokine during Coronavirus
infection to identify the sufficient condition for global stability of latency equilibria of the model, so that the latency period of
an infected person can be maintained and transmission of Coronavirus can be prevented. The model is a three-dimensional
differential equation system that has an equilibria that represents the latent phase of Coronavirus infection. The latency
equilibria is globally asymptotically stable if the maximum concentration of Coronavirus is less than the ratio between the
natural degradation of pro-inflammatory cytokine and the increasing rate of pro-inflammatory cytokine concentration caused
by Coronavirus. Fulfillment of the sufficient condition to create a globally asymptotically stable latency equilibria results in
Coronavirus infection on the infected person will remain in latent phase, so that Coronavirus transmission can be suppressed.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisi / Prodi:	Faculty of Applied Science and Technology (Fakultas Sains Dan Teknologi Terapan) > S1-Mathematics (S1-Matematika)
Depositing User:	Dr. Yudi Ari Adi
Date Deposited:	26 Dec 2022 03:12
Last Modified:	26 Dec 2022 03:12
URI:	http://eprints.uad.ac.id/id/eprint/38161

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