UPM Institutional Repository

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


Citation

Kilicman, Adem and Hamdan, Nur Izzati (2019) Analysis of the fractional order dengue transmission model: a case study in Malaysia. Advances in Difference Equations. art. no. 31. pp. 1-13. ISSN 1687-1839; ESSN: 1687-1847

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.


Download File

[img] Text (Abstract)
DENGUE.pdf
Download (5kB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1186/s13662-019-1981-z
Publisher: SpringerOpen
Keywords: Fractional system; Dengue; Stability analysis; Reproduction number; Sensitivity analysis
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 04 Nov 2020 20:12
Last Modified: 04 Nov 2020 20:12
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13662-019-1981-z
URI: http://psasir.upm.edu.my/id/eprint/80642
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item