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Pertiwi, Julia Indah
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI Pertiwi, Julia Indah; Putri, Arrival Rince; Efendi, Efendi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (940.805 KB) | DOI: 10.30598/barekengvol14iss2pp223-232

Abstract

Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccination
Co-Authors Arrival Rince Putri Efendi Efendi