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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Milang Journal of Mathematics and Its Applications
J. JAHARUDDIN
Bogor Agricultural University
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

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The Effect of Susceptible Immigrants in a System Dynamic on the Spread of Malaria in Indonesia Euis Aprianti; Jaharuddin Jaharuddin; Endar H. Nugrahani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8630

Abstract

The spread of malaria is a serious public health problem, including in Indonesia. The mathematical model is formulated to describe the dynamic nature of the spread of malaria. The model used in this article is the SIR-SI model. This article discusses the stability of the fixed point analyzed using the Jacobian matrix and Routh-Hurwitz criteria, bifurcation analysis using the Castillo-Chaves and Song Theorem, and numerical simulation of the effect of the rate of susceptible immigrants on the dynamics of the malaria by using data on malaria cases in Indonesia. The results of the analysis show that the stability of the fixed point is related to the basic reproduction number determined by the next-generation matrix, and bifurcation occurs when the basic reproduction number is equal to one. The results of numerical simulations show that in order to suppress the spread of malaria, it is necessary to reduce the rate of susceptible immigrants. 
Co-Authors A. KUSNANTO A. T. WIBOWO D. NATALIA E. N. BANO Endar H. Nugrahani Eti Rohaeti Euis Aprianti F. FAHRURRAZI F. HANUM Farida Hanum H. HASANNUDIN H. HERMANSYAH I. ALDILLA Imas Saumi Amalia L. D. OKTAFIANI L. HAKIM N. AIN P. SIANTURI S. SISWANDI Sahamony, Nur Fitriyani T. BAKHTIAR Toni Bakhtiar