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All Journal JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Biomathematics (JJBM)
Nugrahani, Endar H.
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Journal : Jambura Journal of Biomathematics (JJBM)

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Dynamics System in the SEIR-SI Model of the Spread of Malaria with Recurrence Ahkrizal, Afdhal; Jaharuddin, Jaharuddin; Nugrahani, Endar H.
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18754

Abstract

Mathematical model is used to describe the dynamics of the spread of malaria in human and mosquito populations. The model used is the SEIR-SI model. This study discusses the stability of the equilibrium point, parameter sensitivity, and numerical simulation of the spread of malaria. The analysis shows that the model has two equilibrium points, namely the disease-free and endemic equilibrium points, each of which is locally asymptotically stable. Numerical simulations show that the occurrence of disease cure in exposed humans causes the rate of malaria spread to decrease. Meanwhile, the presence of disease recurrence causes the spread of malaria to increase.
Co-Authors Ahkrizal, Afdhal Aprianti, Euis Jaharuddin, Jaharuddin