Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever

Yulius Lede; Sudi Mungkasi

Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia

Research Article

Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever

Download661 downloads

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/eai.20-9-2019.2292122,
    author={Yulius Keremata Lede and Sudi  Mungkasi},
    title={Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever},
    proceedings={Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia},
    publisher={EAI},
    proceedings_a={ICSTI},
    year={2020},
    month={3},
    keywords={adomian decomposition method dengue fever sir model},
    doi={10.4108/eai.20-9-2019.2292122}
}

Yulius Keremata Lede
Sudi Mungkasi
Year: 2020
Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever
ICSTI
EAI
DOI: 10.4108/eai.20-9-2019.2292122

Yulius Keremata Lede¹^,*, Sudi Mungkasi²

1: Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Sanata Dharma, Yogyakarta, Indonesia
2: Department of Mathematics, Faculty of Science and Technology, Universitas Sanata Dharma, Yogyakarta, Indonesia

*Contact email: yuliusllede@gmail.com

Abstract

In this paper, we solve a SIR (Susceptible-Infectious-Recovered) epidemic model of dengue fever. The SIR model is difficult to solve exact-analyticaly. Therefore, we use an approximate method. The method that we use is the Adomian decomposition method. The method produces approximate solutions as series. With only three terms in the series, we observe that the approximate solutions are observed. This means that the Adomian decomposition method can be used in solving the SIR model.

Keywords: adomian decomposition method dengue fever sir model

Published: 2020-03-03
Publisher: EAI

: http://dx.doi.org/10.4108/eai.20-9-2019.2292122