Analysis of the fractional order dengue transmission model: a case study in Malaysia View Full Text


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Article Info

DATE

2019-01-28

AUTHORS

Nur ’Izzati Hamdan, Adem Kilicman

ABSTRACT

Dengue is one of the important infectious diseases in the world. In Malaysia, dengue occurs nationally and has been endemic for more than a decade. Hence, the modeling of dengue transmission is of great importance to help us understand the dynamical behavior of the disease. In this paper, we developed a compartmental model of the dengue transmission using the fractional order differential equation. It consists of six compartments representing the human and mosquito dynamics. The disease-free and the positive endemic equilibrium point are obtained. The stability analysis of the equilibria is presented. A sensitivity analysis of the model is performed to determine the relative importance of the model parameters to the transmission. Numerical simulations are given for different parameter settings. A case study, using the outbreak dengue data in the state of Selangor, Malaysia, in 2012, is presented. More... »

PAGES

31

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URI

http://scigraph.springernature.com/pub.10.1186/s13662-019-1981-z

DOI

http://dx.doi.org/10.1186/s13662-019-1981-z

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https://app.dimensions.ai/details/publication/pub.1111759443


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