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

• Main Authors: Kilicman, Adem, Hamdan, Nur Izzati
• Format: Article
• Language: English
• Published: SpringerOpen 2019
• Online Access: http://psasir.upm.edu.my/id/eprint/80642/1/DENGUE.pdf; http://psasir.upm.edu.my/id/eprint/80642/; https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-1981-z

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.