Mathematical Model for 4 Serotypes of Dengue Virus with Vaccination

Lamwong, Jiraporn; Pongsumpun, Puntani

doi:10.1109/eecs.2018.00036

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2020

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“…Rangkuti, et al [17] used HPM and the variational iteration method (VIM) to solve the dengue spreading problem in South Sulawesi. Other studies are also available in the literature based on the characteristics of local problems [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi

Mungkasi

2020

J. Math. Fund. Sci.

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The susceptible-infected-recovered (SIR) model of the spread of dengue fever for the case of South Sulawesi is considered. Rangkutiâ€™s variational iteration method (RVIM) is recalled. This paper makes four contributions. The first one is to provide a successive approximation method (SAM) for solving the considered model. The second one is to show that SAM and RVIM are identical. Thirdly, a modification of RVIM is proposed. Fourthly, it is shown that the modification leads to an improvement of the accuracy of the method. Both RVIM and the improved version are quite accurate for short time periods. However, the improved version is more accurate and is able to provide more realistic explicit solutions to the model.

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Section: Introductionmentioning

confidence: 99%

Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi

Mungkasi

2020

J. Math. Fund. Sci.

View full text Add to dashboard Cite

show abstract

Mathematical Model for 4 Serotypes of Dengue Virus with Vaccination

Cited by 1 publication

References 3 publications

Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi

Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi

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