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) |
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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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