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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Penelitian Pendidikan Matematika dan Sains
Budi Priyo Prawoto
Jurusan Matematika, FMIPA, Universitas Negeri Surabaya
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 : BAREKENG: Jurnal Ilmu Matematika dan Terapan

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PEMODELAN DINAMIKA VIRUS RUBELLA DENGAN RISIKO SINDROM RUBELLA BAWAAN Abadi Abadi; Rudianto Artiono; Budi Priyo Prawoto
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (473.89 KB) | DOI: 10.30598/barekengvol15iss1pp069-076

Abstract

Rubella is a common cause of childhood rash and fever. It is typically a mild infection but it can be serious condition in pregnant women, as it may cause Congenital Rubella Syndrome (CRS) in the fetus. The study aimed to model and analyze it in order to get picture about the dynamics of the rubella virus transmission. The paper discussed two models of rubella transmission involving child-bearing age women and newly born infants of infected mothers. The models are SEIR-IR without seasonality and SEIR-IR with seasonality. The results from the first model showed that a pitchfork bifurcation occurred in the dynamics of the solution of the system with constant infection rate and the increase of the infection rate value do not make impact to the incidence of rubella among infants. The second model involving seasonality gave interesting dynamics where big seasonality may lead to a more complex dynamics of the solution.
Co-Authors Abadi Abadi Atik Wintarti Rudianto Artiono