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Sari, Inda Puspita
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Journal : Majalah Ilmiah Matematika dan Statistika (MIMS)

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ANALISIS KESTABILAN LOKAL TITIK EKUILIBRIUM MODEL EPIDEMI SEIV DENGAN PERTUMBUHAN LOGISTIK Harianto, Joko; Sari, Inda Puspita
Majalah Ilmiah Matematika dan Statistika Vol 22 No 1 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i1.30174

Abstract

The SEIV model uses population growth which is assumed to follow logistical growth. The model is studied then analyzed. The analysis shows that the non-endemic (disease-free) equilibrium point is locally asymptotically stable when the basic reproduction number less than one, while the endemic equilibrium point is locally asymptotically stable when the basic reproduction number greater than one. Then a numerical simulation was carried out using Maple software to support the results of the local stability analysis of the equilibrium point. Based on numerical simulations, it shows that a disease will disappear from the population when the basic reproduction number less than one and for a long time a disease will remain in the population (still an epidemic) when the basic reproduction number greater than one.Keywords: SEIV model, logistical growth, equilibrium point, basic reproduction numberMSC2020: 92C60
Co-Authors Agung Nugroho Angelika, Venthy Angelina, Widia Angriyani, Dwi Arisandi, Desy Cekman Charli, Leo Fadillah, Dea Nur Fitri, Enggi Wahyuni Grinitha, Virry Houtman Howay, Lusye Jamaludin . Joko Harianto Julia, Clara Khadavi, Khadavi M Rusni Eka Putra Maryani, Kiki Nugroho, Agung Pestalozi, Donni ROSMALINA, EEN Sari, Septa Mila Sarwono, Sarwit Satinem Titik Suparwati Yunus, Tendya Zuherna Mizwar