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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI JOHME: Journal of Holistic Mathematics Education BAREKENG: Jurnal Ilmu Matematika dan Terapan Communication in Biomathematical Sciences Budimas : Jurnal Pengabdian Masyarakat Jurnal Pendidikan Progresif
Ario Wiraya
Universitas Sebelas Maret
Religion Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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Analisis Kestabilan Model Matematika Sistem Respon Inflamasi Akibat Infeksi SARS Coronavirus Ario Wiraya
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 2 (2021): JANUARY 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/jmsk.v17i2.11995

Abstract

Severe Acute Respiratory Syndrome (SARS) Coronavirus infection in a human body indicated by cytokine response due to an inflammation. The purpose of this research is to construct and analyze a mathematical model of interaction between inflammatory pro-response and anti-response cytokine to predict the dynamic on inflammatory response system, so that the treatment can be optimized. The results obtained in this research describe some dynamics which happen on the cytokines, i.e. the disease-free equilibrium point is asymptotically stable when the basic reproduction number is less than one. In this condition, a patient with initial concentrations of the cytokines around the disease-free equilibrium point will be free of viral infection. The infection equilibrium point is asymptotically stable when the basic reproduction number is greater than one. In this condition, a patient with initial concentrations of the cytokines around the infection equilibrium point will be infected by the virus. Probability of a patient being free of viral infection can increase if the production rate of the cytokines are decreased or the degradation rate of the cytokines are increased.
Co-Authors Adi-Kusumo, Fajar Asih, Tri Sri Noor Dhidhi Pambudi Dwi Mulyowati Fitriana, Laila Forde, Jonathan Getut Pramesti Laila Fitriana Mulyowati, Dwi Putri, Amellia Rubono Setiawan Triyanto Triyanto, Triyanto Valentina, Febriyani Yudi Ari Adi, Yudi Ari